The fundamental conjecture of Birch and Swinnerton-Dyer relating the Mordell–Weil ranks of elliptic curves to their L-functions is one of the most important and motivating problems in number theory. It resides at the heart of a collection of important conjectures (due especially to Deligne, Beilinson, Bloch and Kato) that connect values of L-functions and their leading terms to cycles and Galois cohomology groups.

The study of special algebraic cycles on Shimura varieties has led to progress in our understanding of these conjectures. The arithmetic intersection numbers and the p-adic regulators of special cycles are directly related to the values and derivatives of L-functions, as shown in the pioneering theorem of Gross-Zagier and its p-adic avatars for Heegner points on modular curves. The cohomology classes of special cycles (and related constructions such as Eisenstein classes) form the foundation of the theory of Euler systems, providing one of the most powerful methods known to prove vanishing or finiteness results for Selmer groups of Galois representations.

The goal of this semester is to bring together researchers working on different aspects of this young but fast-developing subject, and to make progress on understanding the mysterious relations between L-functions, Euler systems, and algebraic cycles.

Number Theory concerns the study of properties of the integers, rational numbers, and other structures that share similar features. It is a central branch of mathematics with a well-known feature: it is often the case that easy-to-state problems in number theory turn out to be exceedingly difficult (e.g. Fermat’s Last Theorem), and their study leads to groundbreaking discoveries in other fields of mathematics.

A fundamental theme in number theory concerns the study of integer and rational solutions to Diophantine equations. This topic originated at least 3,700 years ago (as documented in babylonian clay tablets) and it has evolved into the highly sophisticated field of Diophantine Geometry. There are deep and fruitful interactions between Diophantine Geometry and seemingly distant fields such as representation theory, algebraic geometry, topology, complex analysis, and mathematical logic, to mention a few. In recent years, these connections have led to a large number of new results and, specially, to the partial or complete resolution of important conjectures in the field.

While the study of rational solutions of diophantine equations initiated thousands of years ago, our knowledge on this subject has dramatically improved in recent years. Especially, we have witnessed spectacular progress in aspects such as height formulas and height bounds for algebraic points, automorphic methods, unlikely intersection problems, and non-abelian and p-adic approaches to algebraic degeneracy of rational points. All these groundbreaking advances in the study of rational and algebraic points in varieties will be the central theme of the semester program “Diophantine Geometry” at MSRI. The main purpose of this program is to bring together experts as well as enthusiastic young researchers to learn from each other, to initiate and continue collaborations, to update on recent breakthroughs, and to further advance the field by making progress on fundamental open problems and by developing further connections with other branches of mathematics. We trust that younger mathematicians will greatly contribute to the success of the program with their new ideas. It is our hope that this program will provide a unique opportunity for women and underrepresented groups to make outstanding contributions to the field, and we strongly encourage their participation.

A conference on Homotopy theory at Northwestern to honor the contributions of Paul Goerss.

A primary goal of the Upstate Number Theory Conference is to bring together the specialists from the various branches of Number Theory in the Upstate New York region and surrounding areas, and to expose the younger researchers to new and old problems in the field.

Welcome to the icebreaker event for Early Career Mathematicians (ECM) at the BAMC 2023, sponsored by the ECM Committee of the Institute of Mathematics and its Applications (IMA). We had a fantastic time last year at Loughborough, so much so that we are going to run the same event in Bristol. We are hosting the event at Design West, right in the city centre of Bristol, the evening before the BAMC begins.

Feedback we, the Committee, received from our members is that networking and forming contacts with others at conferences can be daunting. In the instances that a group of friends has been formed, they have said that the enjoyability of the conference improves significantly. So, forming contacts and groups is what we want to facilitate at this event. We will start the event with quick opening speeches about the BAMC (and ECMs) from one of the Organising Committee and who the ECM Committee are and what they do for the IMA. Then we will start the activities, which include: • Knowing me, knowing you • Mathematical Taboo • Celebrity Cameo • Mathematical Headbandz • Shakespeare's Radio

Refreshments will be supplied and you are welcome to join the ECM Committee for an informal dinner after the event.

ln this workshop, we will consider variants of Artin's primitive root conjecture leading to the study of the Galois groups of various radical extensions. Beyond the case of the multiplicative group studied by Lenstra and others, there are now also interesting results for elliptic radicals, and for division points in more general abelian varieties. ln this context, the elliptic analogue of Artin's conjecture is the Lang-Trotter conjecture, which is still open after more than 40 years.

The Galois representations associated to various division points in abelian varieties are central to understanding the Galois groups of the radical extensions that one tries to explicitly describe in this context, as they control the behaviour of the primes in the underlying problems. Understanding these Galois representations, and the entanglement between the extensions generated by different prime-power radicals, is essential to progress in this area.

ln this circle of problems and questions, one encounters interesting restrictions to local-global principles that will be addressed in this workshop, not only in the context of radical extensions.

This workshop will bring together leading, as well as early career, researchers on arithmetic statistics and on algorithmic aspects of algebra and number theory, with the aim of fostering collaborations within and between these communities, and to offer early career researchers the opportunity to get a broad overview of the most recent achievements and of the most pressing problems in these fields. The workshop will also celebrate the mathematics of Hendrik W Lenstra Jr.

The spring 2023 meeting of the Texas Geometry and Topology Conference (TGTC) will be held on the campus of Texas Christian University (TCU) April 14 – 16. The speakers are:

• Simone Cecchini, Texas A&M University

• Dawei Chen, Boston College

• Anna Fino, Florida International University

• David Fisher, Rice University

• Mohammad Ghomi, Georgia Institute of Technology

• Svetlana Jitomirskaya, Georgia Institute of Technology

• Tracy Payne, Idaho State University

• Craig Sutton, Dartmouth College

There is no registration fee for attending TGTC. Limited financial support is available to help defer the travel and living expenses of participants who do not have other funding for their research. Graduate students, junior faculty, women, individuals from groups under-represented in the mathematical sciences or from institutions with little federal support, and persons with disabilities are especially encouraged to participate and to apply for support.

For more information, please see the conference website:

https://cse.tcu.edu/mathematics/faculty-staff/tgtc.php

If you plan to attend, please register by March 14.

The workshop Around Complex Geometry will take place at the University of Illinois at Chicago April 21-23 2022. The plan is to bring a mix of senior and junior researchers with interests in complex geometry and related fields.

The field of arithmetic statistics is a fast-moving area of number theory, dealing with distributional results for many basic and important objects: ranks of elliptic curves, central values of L-functions, number fields, modular symbols, orbits of discrete groups etc. The techniques involved come from diverse areas of mathematics e.g. automorphic forms, ergodic theory, spectral theory, dynamical systems, probabilistic number theory, representation theory and random matrix theory. This workshop intends to bring together researchers of all career levels to present their work and exchange ideas and techniques on arithmetic statistics. Motivated by the programme of Mazur and Rubin based on their computational study of elliptic curves over abelian extensions of fixed degree, the meeting will focus on modular symbols, Manin's noncommutative modular symbols, equidistribution of lattice points on the sphere, Heegner points, and closed geodesics, including the error term in the Prime Geodesic Theorem.

There will be invited talks lasting 50 or 25 minutes and other events aimed at facilitating discussions among participants.

A central topic in Diophantine Geometry is to understand how the geometry of a variety influences the arithmetic of its algebraic points, and conversely. Conjectures of Bombieri, Lang, and Vojta suggest that rational points of algebraic varieties satisfying suitable approximation conditions, are algebraically degenerate. On the other hand, conjectures on unlikely intersections suggest that algebraic points of special type —e.g. torsion points in semi-abelian varieties, special points in Shimura varieties— avoid subvarieties, unless the subvariety itself is also special (in a technical sense).

In recent years, a number of techniques have led to outstanding progress on Lang-Vojta conjectures, such as the Subspace Theorem, p-adic approaches to finiteness, and modular methods. Similarly, spectacular progress has been achieved on unlikely intersection conjectures thanks to new methods and tools, such as height formulas for special points, connections to model theory, refined counting results, and new theorems of Ax-Shanuel type (bi-algebraic geometry).

The goal of this workshop is to create the opportunity for these two groups to interact, to share their techniques, to update on the most recent progress, and to attack the outstanding open questions in the field.

The two directions described above are rather technical and specialized, and it seems necessary to bring together these groups of researchers to explain to each other not only the latest developments in their fields, but also the methods that made possible these breakthroughs. Thus, in this workshop we expect to have lectures explaining the main methods, as well as talks presenting the most recent progress in the subject by the world leading experts.

2023 marks ten years since the introduction of the Amplituhedron as a new mathematical object underpinning the physics of scattering amplitudes. While the past decade has seen many developments both in further understanding the mathematics and physics of the amplituhedron and generalizing it to wider classes of theories, it has become increasingly clear that we are only scratching the surface of this still largely mysterious set of ideas.

In order to stimulate new lines of attack on these questions, DIAS and IAS in partnership will host a series of two meetings on "Hidden Mathematical Structures of the Amplituhedron." The first meeting will take place at DIAS during April 24-28, 2023.

There is no registration fee, and we encourage everyone interested to actively participate in discussion / brainstorming sessions, propose questions and new directions.

Innovations and applications through the mathematics of operational research

Building on the success of the three previous conferences held in 2017, 2019, and 2021 this conference will aim to draw together the considerable community of researchers and practitioners who use/develop innovative mathematics, relevant to the applications and theory of Operational Research. The conference will showcase activities from across OR, and will welcome both contributions which have a clear application focus as well as those which are theoretically driven.

Contributions will be expected to showcase both Mathematics and OR. The conference will host plenaries from leading international experts, sessions of themed talks, as well as poster sessions, and provide plenty of opportunities for networking.

Invited Speakers Nira Chamberlain (SNC-Lavalin Group Inc) Joerg Fliege (University of Southampton) Paul Harper (Cardiff University) Julie Bennell (University of Leeds)

The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:

moduli spaces of shtukas
p-adic techniques in local Langlands and the relation to geometric Langlands
Shimura varieties and more general spaces in global Langlands

Speakers

• Ramla Abdellatif (Université de Picardie Jules Verne)
• Fabrizio Andreatta (Università di Milano)
• Kübra Benli (University of Georgia) TBC
• Francesco Campagna (Leibniz Universität Hannover)
• Cécile Dartyge (Université de Lorraine)
• Lassina Dembélé (King's College)
• Florent Jouve (Université de Bordeaux)
• Kamal Khuri-Makdisi (American University of Beirut)
• Myrto Mavraki (Harvard University) TBC
• Giovanni Rosso (Concordia University)
• Julia Wolf (University of Cambridge)
• Umberto Zannier (SNS Pisa)

In occasion of the seventh mini symposium it will be held, on May 2nd and 3rd, in Rome an atelier LEAN.
Attendance to the atelier LEAN is limited to 40 participants.

The spring school serves an introduction to the conference "Arithmetic Statistics", and aims to provide PhD students and early stage researchers with the necessary background to enable them to fruitfully partake in the conference. lt will also be an occasion for Master students to have an introduction towards research in number theory.

Along with lecture courses, there will be exercise sessions and a possibility to work on small research projects under the guidance of the lecturers and the researchers proposing them.

The lecture courses will take place in the mornings, while exercise sessions will take place in the afternoon, with extra time allotted for round tables and work in groups.

Lecture courses thematics are the following:

• Galois representations and Diophantine equations,
• Complex Multiplication,
• Class field theory,
• Zeta functions and L-functions,
• Abelian varieties.

This school provides an introduction to some of the main topics of the trimester program. It is mainly directed at PhD students and junior researchers.

The 8th Lake Michigan Workshop on Combinatorics and Graph Theory will benefit graduate students and junior researchers in the field of discrete mathematics. It will be built around two sets of three tutorial lectures, focusing on state-of-the-art techniques and results that the speakers feel are underrepresented in typical graduate sequences, and on emerging techniques on which the speakers are particularly qualified to expound. There will also be short talks by students and younger faculty members, and a problem session. There will be ample unscheduled time during the weekend

The tutorial speakers for the 2023 workshop will be

• Will Perkins (Georgia Institute of Technology), who will speak on Statistical physics methods in combinatorics, and

• Stephanie van Willigenburg (University of British Columbia), who will speak on Coloring with a limited paintbox (the chromatic symmetric function).

Thanks to funding from NSF and Notre Dame, we anticipate supporting the travel and accommodation of junior participants, particularly those from the Midwest/Great Lakes/Great Plains area. More details will be available at the workshop website in early February.

The conference will focus on the areas of motivic and equivariant homotopy theory, K-theory. These topics have deep connections and applications to a wide variety of research areas, including algebraic geometry, topology, category theory and number theory. The aim of this conference is to share the latest developments and applications in these topics.

This workshop is being organized in celebration of Bhargav Bhatt’s Nemmers Prize.

The theme of the conference is a type of number theory that has become very popular over the last decades, and that is influenced by the possibility of « experimentally » studying arithmetic objects with the help of a computer. Thanks to the wide availability of computer algebra systems, essentially any number theorist nowadays has this possibility at his fingertips. There are concrete objects that are not so easily determined « by hand », such as fundamental units in number fields of higher degree, or Mordell-Weil generators of point groups of elliptic curves, and a first impression of « what these typically look like » is often obtained by numerical experimentation.

Over the years, substantial datasets relating to number fields, elliptic curves and L-series have become available, enhancing our understanding of the arithmetic world somewhat beyond only the smallest examples, which may fail to show the true asymptotic behaviour.

This is a 4-day conference in the areas of number theory and combinatorics. I will include four plenary talks and a number of contributed talks. Please see the website for more details. This will be the ninth Integers conference.

Stanford Topology Celebration (in honor of Gunnar Carlsson, Ralph Cohen and Steve Kerckhoff)

Over the last 35 years, the Annual Workshop on Automorphic Forms and Related Topics has remained a small and friendly conference. Those attending range from students to new PhD's to established researchers. For young researchers, the conference has provided support and encouragement. For accomplished researchers, it has provided the opportunity to mentor as well as a forum for exchanging ideas.

The workshop has become internationally recognized for both its high-quality research talks and its supportive atmosphere for junior researchers. Participants present cutting-edge research in all areas related to automorphic forms. These include mock modular forms, Maass wave forms, elliptic curves, Siegel and Jacobi modular forms, special values of L-functions, random matrices, quadratic forms, applications of modular forms, and many other topics.

In addition to research talks, the workshop has, in the past years, featured panel discussion sessions on the topics of grant writing, mentoring and research partnerships, REUs and outreach, and opportunities for international collaborations. Based on the success of these sessions, we plan to have similar panel sessions this year as well.

The Georgia Topology Conference will be held in University of Georgia, May 24-28. The theme of the conference will be spaces of diffeomorphisms, symplectomorphisms and contactomorphisms in dimensions three and four.

Conference dedicated to the memory of Bas Edixhoven

The Richmond Geometry Meeting will focus on emergent research topics while bringing together researchers in algebraic geometry, low-dimensional topology, and mathematical physics. In summer 2023, we will highlight developments in moduli theory together with new perspectives in Floer homology and low-dimensional topology. This year's format will be in-person. This meeting is supported by NSF award DMS-2240741.

Topic: Motivic homotopy theory involves the study of algebraic varieties and schemes using methods not only from algebraic geometry, but also from algebraic topology. A basic idea is to use techniques from homotopy theory, such as the construction of homotopy groups and the use of homotopical invariants, to investigate topological and geometric properties of these varieties. It was developed in the late 20th century as a way to extend classical homotopy theory, which studies topological spaces up to continuous deformations, to the realm of algebraic geometry.

One of the fundamental problems in motivic homotopy theory over F is to calculate the homotopy groups π_t,w(1) of the motivic sphere spectrum 1. Here the integers t, w ∈ Z refer to the topological degree and the weight, respectively. In a precise sense, these groups are the universal motivic invariants because the motivic sphere is the unit for the tensor product on motivic spectra. All the relations witnessed in the graded ring π_*,*1 hold in every other theory representable in the stable motivic homotopy category, such as algebraic cobordism, algebraic and hermitian K-theory, motivic cohomology, and higher Witt theory.

The goal of the workshop is to discuss “Why, what, and how” on specific computations in stable motivic homotopy theory.

Please see the preliminary syllabus for more detailed information and references.

Suggested prerequisites:

Mentors: The 2023 Talbot workshop will be mentored by Prof. Oliver Röndigs of the Osnabrück University and Paul Arne Østvær of University of Milan, Italy and University of Oslo, Norway.

Format: The workshop discussions will have an expository character and a majority of the talks will be given by participants. Breaks will be built into the schedule for informal discussions and collaborations. The workshop will take place in a communal setting, with participants sharing living space and cooking and cleaning responsibilities.

The workshop will be held entirely in-person. Participants should expect to follow mitigation measures such as masking in indoor common spaces and eating meals in a socially distanced/outdoor setting.

Timeline: The 2023 Talbot workshop will take place June 4-10, 2023.

Funding: We cover all local expenses, including lodging and food. We also have limited funding available for participant travel costs.

Who should apply: Talbot is meant to encourage collaboration among young researchers, particularly graduate students. To this end, the workshop aims to gather participants with a diverse array of knowledge and interests, so applicants need not be an expert in the field. In particular, students at all levels of graduate education are encouraged to apply. Our decisions are based not on applicants' credentials but on our assessment of how much they would benefit from the workshop. As we are committed to promoting diversity in mathematics, we also especially encourage women and minorities to apply.

Inclusiveness statement: In accordance with the Statement of Inclusiveness, this workshop will be open to everybody, regardless of race, sex, religion, national origin, sexual orientation, gender identity, disability, age, pregnancy, immigration status, or any other aspect of identity. We are committed to ensuring that the Talbot Workshop is a supportive, inclusive, and safe environment for all participants, and that all participants are treated with dignity and respect.

Contact Information: Please email the organizers at talbotworkshop(at)gmail.com if you have any questions.

A Conference in Honour of Mike Hopkins

The scientific program (13-15th June) is devoted to lectures given by the participants and invited lectures on various fields of Finsler geometry and applications to mathematical physics, and other fields.
See the Scientific Committee at : https://konferencia.unideb.hu/en/cfga-2023

This conference will be on various aspects of the local Langlands correspondence over p-adic fields and methods from p-adic Hodge theory. Topics will include the usual local Langlands correspondence, the p-adic local Langlands correspondence and the relation to coherent sheaves on spaces of Galois representations, and the geometry and cohomology of local Shimura varieties.

Neuroscience is nowadays one of the most collaborative and active scientific research fields. Differential equations are ubiquitous in the modeling of such phenomena and, consequently, nonlinear dynamics and dynamical systems techniques become fundamental sources of new tools to study neuroscience models. The aim of this Third Workshop on Neurodynamics is to present an overview of successful achievements in this rapidly developing collaborative field by putting together different types of applications of nonlinear dynamics (geometrical tools in dynamical systems, numerical methods, computational schemes, ...) to different problems in neuroscience (mononeuronal dynamics, network activity, cognitive problems,...). The final goal is spreading together mathematical methodology and neuroscience challenges and stimulating future cross-collaborations among participants, being Mathematical Neuroscience the generic topic for NDy'23.

In the early 1920s, Emmy Noether introduced the fundamental concept of a Noetherian ring, a notion that has had a remarkably broad impact on mathematics over the last century. In this conference, we celebrate Noether's legacy with research talks from many areas of algebra, broadly construed, including algebraic geometry, commutative algebra, number theory, and representation theory.

The conference Finite and Residually Finite Groups, celebrating Pavel Shumyatsky's 60th birthday, will be held in Bilbao (Spain), from June 20th to 23rd, 2023. The conference is jointly organised by the University of the Basque Country (Spain), the University of Brasilia (Brazil), and the University of Padova (Italy). The format of the conference will include plenary invited lectures, contributed talks and a poster session. Also, there will be up to 15 accommodation grants for young researchers.

This, the 16th in a series of Workshops in Alpbach, will feature minicourses given by world class researchers and invited talks by younger researchers, covering topics in arithmetic geometry related to Galois representations and heights. The emphasis includes not only deep theoretical developments, but also applications of a more concrete/computational nature. Minicourses presenting a broad overview of these topics, delivered by top international experts, will be complemented by invited talks highlighting recent progress.

Interest in specialization of polynomials and Galois groups goes back at least to the work of Hilbert on the inverse Galois problem. This theory has found an abundance of applications in Algebra, Number Theory, Group Theory, and Arithmetic Geometry. In recent years, the area is blooming and we see striking results that open completely new horizons: The discovery of Hilbert irreducibility properties of algebraic groups, its connection with expanders and random walks, the interrelation with arithmetic-geometric properties of parametrizing varieties, and the exciting progress on the Cohen-Lenstra heuristics. The conference aims to bring together leading experts and young researchers interested in the area. We plan to leave an abundance of free time, dedicated to informal discussions. We believe that this will encourage the transfer of ideas, techniques, and will foster new collaborations and new research directions.

We are going to organize a week long conference during June 26-30, 2023, hosted by the Alfred Renyi Institute of Mathematics in Budapest, Hungary. The topic of the conference will emphasize the rich interactions between complex analysis and complex geometry, within the context of geometric analysis.

In addition, the conference will serve as an opportunity to celebrate the 70+1th birthday of Laszlo Lempert.

It is the second edition of the series of conferences, under the title: Constructive Mathematics as a Bridge Between Classical Mathematics, Mathematical Education, Philosophy of Mathematics and Computer Sciences - An Appealing Intellectual Unification. This year’s conference will be dedicated to the memory of the American mathematician Errett Bishop celebrating the 95th ANNIVERSARY of his birth as well as the 55th anniversary of the publication of his seminal book Foundations of Constructive Analysis. The main aims of the conference are: to provide an opportunity for experts to present and discuss their recent research in seminars that relate to the various aspects and implications of constructive mathematics; to hold a mini-series of lectures, presented by experts in various fields and designed to engage academics from STEM disciplines and Humanities (including graduate students) in the discussions around the recent developments in constructive mathematics and its applications.

Thus, we call for an intriguing intellectual unification of different disciplines. The guiding questions behind the conference include: What happens when we free ourselves from the governing metaphors within our disciplines? Do we see commonalities across the disciplines in how that was/is done? Given this short synopsis of the ideas behind how we envision this conference and its contributions to the multidisciplinary landscape, we hope that the rich discussions during the conference and the publications that will be put out afterwards will constitute a significant contribution to the field and initiate new collaborations CM:FP 2023 conference is a result of collaboration between the following three academic groups/organizations: Center for Applied Mathematics of the Faculty of Mechanical Engineering Niš, CAM-FMEN, University of Niš, Serbia; Cognitive Science Network (Fields Institute for Research in Mathematical Sciences), Canada; International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, University of Abomey-Calavi, Benin.

The 2023 Summer School on Scissors Congruence, Algebraic K-theory, and Trace Methods for graduate students and early career researchers will be held June 26-30 at Indiana University, Bloomington.

The summer school will include mini-courses on:

• Algebraic K-theory - Mona Merling
• Scissors congruence K-theory - Inna Zakharevich
• Trace methods - Teena Gerhardt and Cary Malkiewich

The summer school will also feature problem sessions and student talks on foundational papers in the area.

We expect to provide housing for invited participants as well as (partial) reimbursement for travel expenses. We expect approximately 40-50 participants overall.

For more information, and to apply, please see: https://topology.math.indiana.edu/Summer2023/
Applications are due January 31st, 2023.

Organizing Committee:

• Andrew Blumberg
• Teena Gerhardt
• Michael Hill
• Cary Malkiewich
• Michael Mandell

• Andrew Blumberg, Columbia University
• Anna Marie Bohmann, Vanderbilt University
• Teena Gerhardt, Michigan State University
• Mike Hill, UCLA
• Cary Malkiewich, Binghamton University
• Michael Mandell, Indiana University
• Mona Merling, University of Pennsylvania
• Kate Ponto, University of Kentucky
• Inna Zakharevich, Cornell University

The main aim of the conference is to bring together researchers and scientists in a wide range of areas of Mathematics, Statistics and Data Science, that are topics of active research in Armenia, and also are prospective for research and collaboration.

The conference will cover the following topics:

   - Algebra and Logic
   - Analysis
   - Probability and Statistics
   - Optimization and Optimal Control
   - Data Science

This workshop is organized around the themes of using refined invariants of algebraic varieties to study enumerative questions, with ideas coming from motivic homotopy theory, quadratic enumerative geometry, hermitian K-theory and beyond.

The Department of Mathematics of University of Patras and the Department of Electrical and Computer Engineering of University of Peloponnese with the hospitality of the city of Nafpaktos organize the:

"2023 International Conference on Topology and its Applications, July 3-7, 2023, Nafpaktos, Greece"

Organizing Committee: S. Iliadis - Chairman, D. Georgiou (Department of Mathematics, University of Patras, Patra, Greece), I. Kougias (Department of Electrical and Computer Engineering, University of Peloponnese, Patra, Greece), A. Megaritis (Department of Physics, University of Thessaly, Lamia, Greece), F. Sereti (Department of Mathematics, University of Western Macedonia, Kastoria, Greece), V. Gkizas (Mayor of the Municipality of Nafpaktia)

Host:
University of Patras - University of Peloponnese

Homepage:: http://www.lepantotopology.gr

e-mail: [email protected]

Description: All areas of Topology and its Applications are included: General Topology, Set-Theoretic Topology, Geometric Topology, Algebraic Topology, Applied Topology. In particular: Topological Groups, Dimension Theory, Dynamical Systems and Continua Theory, Computational Topology, History of Topology.

The above conference is the continuation of the following conferences:

(1) 2006 International Conference on Topology and its Applications,_ June 23-26, 2006, Aegion, Greece.

(2) 2010 International Conference on Topology and its Applications,_ June 26-30, 2010, Nafpaktos, Greece.

(3) 2014 International Conference on Topology and its Applications,_ June 3-7, 2014, Nafpaktos, Greece.

(4) 2018 International Conference on Topology and its Applications,_ July 3-7, 2018, Nafpaktos, Greece.

Géométrie Algébrique en Liberté, also known as GAeL, is an annual workshop organized by and for young algebraic geometers. The aim of this workshop is to gather young mathematicians in this field of research and give them an opportunity to discuss freely without having to fear that their questions or viewpoints might be silly: hence the name of the workshop.

The first 13 editions of GAeL were organized at the Centre International des Rencontres Mathématiques in Marseille (France), then GAeL became an itinerant workshop. Recently, GAeL has been held in Trieste (Italy), Leuven (Belgium), Nesin Maths Village (Turkey), Bath (UK), Strasbourg (France), Bucharest (Romania), Loughborough (UK) and Orsay (France).

If you have any questions, please do not hesitate to email any member of the organizing committee.

This event is the premier maintenance and reliability modelling conference in the UK and builds upon a very successful series of previous conferences. It is an excellent international forum for disseminating information on the state-of-the-art research, theories and practices in maintenance and reliability modelling and offers a platform for connecting researchers and practitioners from around the world. The scope of the conference includes: • Engineering Economy and Cost Analysis • Life cycle/performance analysis • Maintenance and Reliability Modelling • Prognostics and Health Management • Reliability and Maintenance Engineering • Safety, Security and Risk Management • Spare Parts Supply Chain Management • Warranty Management and Data Analysis • Machine learning for reliability engineering and maintenance optimization

Presentations are encouraged on the theory or application of maintenance and reliability for: • Autonomous Systems • Cyber-physical systems • Data Mining and Machine Learning • Decision Analysis and Methods • Human Factors • Information Processing and Engineering • Manufacturing Systems • Expert Elicitation • Operational Research • Production Planning and Control • Quality Control and Management • Resilience Engineering • Sustainability • Smart Technologies • Systems Modelling and Simulation

Keynote Speakers Prof Phil Scarf, Cardiff University
Prof David Coit, Rutgers school of engineering

This conference is organized around the themes of K-theory, (motivic) homotopy theory, topological Hochschild homology, trace methods, and related topics. It is dedicated to Bjørn Ian Dundas on the occasion of his 60th birthday.

Victor P. Snaith (1944 – 2021) was distinguished not just as an outstanding mathematician who made deep and lasting contributions in algebraic topology and number theory but also as a charismatic leader who enthusiastically developed research communities and generously supported young researchers.

The conference will bring together homotopy theory, cohomology of groups, algebraic K-theory and number theory, the main areas in which Vic worked. The aim is to feature important developments, paying special attention to synergies between these areas, as Vic did in much of his versatile research.

This will be a one week conference broadly focused on the topics of the LMFDB, mathematical databases, computation, number theory, and arithmetic geometry. The conference will include invited talks, presentations by authors of papers submitted to the conference and selected by the scientific committee following peer-review, as well as time set aside for research and collaboration. We plan to publish a proceedings volume that will include all of the accepted papers.

The last few years have witnessed an explosion of progress in algebraic K-theory. Derived algebraic geometry and non-commutative methods have been refined into powerful tools, especially through the theory of localizing invariants. Trace methods have brought K-theory and topological cyclic homology closer together than ever before. Perfectoid techniques mean that K-theory benefits from the recent progress in p-adic cohomology, such as prismatic cohomology. Condensed mathematics provides at long last a uniform approach to the K-theory of topological rings. Geometric foundations for motivic stable homotopy theory have been laid and new motivic filtrations have been unearthed.

The goal of the Summer School will be to help bring the participants up to date on these exciting developments, via research lectures, mini-courses, and an Arbeitsgemeinschaft on the topic of syntomic and étale motivic cohomology.

Following the highly-successful first AGNES Summer School on higher dimensional moduli in 2022, this school will focus on intersection theory on moduli spaces. The past few years have seen spectacular progress in explicit computations of the cohomology and rational/integral Chow rings of moduli spaces of curves and related objects. This school will introduce graduate students to a range of techniques in this active area through four mini-courses. A key component of the school will be afternoon working sessions, where participants will work together in groups on problems, ranging from exercises to open-ended examples and research problems, relating to the topics of the lectures.

This summer school is designed for graduate students who have completed a yearlong course covering the foundations of algebraic geometry (e.g., Hartshorne's Algebraic Geometry) and are working in the field.

The minicourses will be given by Andrea di Lorenzo, Eric Larson, Hannah Larson, and Angelo Vistoli.

ICoMS 2023 is organized to bring together researchers and practitioners interested in advancing the state of the art in Mathematics and Statistics, and for exchanging knowledge that encompasses a broad range of disciplines among various distinct communities. The themes for this conference are focused on "Mathematics of Digital Twins - Analysis, Stochastics and Numerics". Conference Proceedings are published in ACM Digital Library, and there is a special Issue "Selected Papers from the 2023 6th International Conference on Mathematics and Statistics (ICoMS 2023)" in MDPI Mathematics.

This is the ninth Iwasawa conference following conferences in Besancon, Limoges, Irsee, Toronto, Heidelberg, London, Tokyo and Bordeaux. The conference is dedicated to the memory of John Henry Coates.

This workshop aims at bringing together the leading experts in the field, covering a broad spectrum reaching from the more theoretically-oriented over the explicit to the algorithmic aspects. The fundamental problem motivating the workshop asks for a description of the set of rational points X(Q) for a given algebraic variety X defined over Q. When X is a curve, the structure of this set is known, and the most interesting question is how to determine it explicitly for a given curve. When X is higher-dimensional, much less is known about the structure of X(Q), even when X is a surface. So here the open questions are much more basic for our understanding of the situation, and on the algorithmic side, the focus is on trying to decide if a given variety does have any rational point at all.

This is a workshop with about 50 participants. Participation is by invitation. Every participant is expected to contribute actively to the success of the event, by giving talks and/or by taking part in the discussions.

A workshop on Algebraic K-theory of spaces and related topics will be held at the University of Regensburg, during July 24-28, 2023.

The goal of this workshop is to bring together researchers in the field, review aspects of the deep interactions between algebraic K-theory and manifold topology, and discuss various developments in the field, especially, from the perspective of the algebraic K-theory of spaces and its varied connections.

The goal is to produce a collaborative environment for discussions of recent developments about spectral gaps, that bring together groups of researchers with different perspectives and backgrounds. All participants will be given fully catered accommodation at Collingwood College Durham

This conference will be on various aspects of the global Langlands correspondence. Topics will include in particular the geometry and cohomology of Shimura varieties and more general locally symmetric spaces, or moduli spaces of shtukas.

Number theory mixes techniques from various branches of mathematics and reveals unexpected connections between them. The first conference organised by the International Centre for Mathematics in Ukraine aims to overview recent breakthroughs in this field.

The event will take place simultaneously in two grounds with a live connection between the audiences at The Kyiv School of Economics and Stefan Banach International Mathematical Center in Warsaw. Students and young scientists are encouraged to take part. There will be special sessions organised to discuss research and learning problems stated by the speakers.

This will be a workshop in arithmetic and algebraic geometry, similar to the previous iterations (in 2017 and online in 2020). The intended participant is a graduate student, or a postdoc, or even a senior researcher. You will work on a single topic, possibly related to the Stacks project, in a small group together with a mentor for a week. Part of this process will be seeing how one builds new theory from the foundations. There will also be one or two talks per day covering advanced topics in arithmetic or algebraic geometry.

The Stacks project workshop will have some optional activities you won't see at other workshops. Adding references to and finding mistakes in the Stacks Project (and fixing them) as well as activities related to LaTeX use, Git, and GitHub. Overall these will be aimed at helping you contribute efficiently to the Stacks project.

During the 2023-24 academic year the School will have a special program on the p -adic arithmetic geometry, organized by Jacob Lurie and Bhargav Bhatt, who will be the Distinguished Visiting Professor.

The last decade has witnessed some remarkable foundational advances in p-adic arithmetic geometry (e.g., the creation of perfectoid geometry and the ensuing reorganization of p-adic Hodge theory). These advances have already led to breakthroughs in multiple different areas of mathematics (e.g., significant progress in the Langlands program and the resolution of multiple long-standing conjectures in commutative algebra), have uncovered new phenomena that merit further investigation (e.g., the discovery of new structures on algebraic K-theory, new period spaces in p-adic analytic geometry, and new bounds on torsion in singular cohomology), and have made hitherto inaccessible terrains more habitable (e.g., birational geometry in mixed characteristic). This special year intends to bring together a mix of people interested in various facets of the subject, with an eye towards sharing ideas and questions across fields.

Are you curious what the excitement around the proof assistant Lean is all about? Are you intrigued by recent successes in the formalization of deep mathematical theorems, and would like to understand more concretely what this formalization entails? Do you find yourself wondering how far your favorite area of mathematics is still away from being formalized, and what lies ahead?

Then Lean for the Curious Mathematician is for you! The 2023 edition will comprise two consecutive but independent events: an intensive four-day tutorial (listed here), followed by a shorter colloquium for the impatient (listed separatedly).

The conference will be held in a mixed format. Conference sections: 1. Algebra and Number Theory 2. Applied Mathematics, Informatics and Computing in Environmental Sciences 3. Differential Equations and Applications 4. Geometry and Topology 5. Logic, Language, Artificial Intelligence 6. Mathematical Education and History 7. Mathematical Logic and Discrete Mathematics 8. Mathematical Modeling and Numerical Analysis 9. Mathematical Physics 10. Probability Theory and Statistics, Financial Mathematics 11. Real and Complex Analysis Thematic Minisymposia

There is growing demand, for scientific and evidence-based decision-making defence and security at the heart of government and in industry. Mathematics is fundamental to, providing a framework for understanding and solving varied and complex problems, and model system and scenarios. One of the biggest challenges for mathematicians is the ubiquity of the discipline- that the same maths can be used to solve multiple problems. It may not be obvious branch of mathematics best address a particular problem. Furthermore, finding a forum where you can get feedback on the different mathematical techniques that could be applied is not always straightforward.

Are you curious what the excitement around the proof assistant Lean is all about? Are you intrigued by recent successes in the formalization of deep mathematical theorems, and would like to understand more concretely what this formalization entails? Do you find yourself wondering how far your favorite area of mathematics is still away from being formalized, and what lies ahead?

Then Lean for the Curious Mathematician is for you! The 2023 edition will comprise two consecutive but independent events: an intensive four-day tutorial (listed separatly), and a shorter colloquium for the impatient (this listing). The colloquium will showcase recent formalization and teaching projects with Lean. It will give an impression of the current developments in computer-assisted theorem proving and invite to reflect on its future role in mathematics.

The aim of the conference is to bring together researchers at the crossroads of algebra and number theory working on dynamic or asymptotic aspects.

The study of rational points on varieties is a field of special interest to arithmetic geometers. Over the past few decades, many techniques have been used to decide whether a variety over a number field has a rational point or not, and even to describe those points completely. In this program, we are mainly interested in the study of rational points on modular curves.

Elliptic curves, modular forms and modular curves are central objects in arithmetic geometry. Modular curves can be thought of as moduli spaces for elliptic curves with extra level structures. The objective of this program is to understand the theoretical and computational aspects of determining K-rational points on modular curves X_H(K) for various fields K and subgroups H of GL_2(ℤ/Nℤ) for any natural number N.

In the mini-courses, we give an advanced introduction to the theory of rational points on modular curves, under both theoretical and computational aspects. These courses would include an introduction to the geometry of modular curves, their ℚ-rational points, classical and non-abelian Chabauty methods, and related computational aspects. We also attempt to strike a balance between the more advanced topics and the down-to-earth examples.

In the discussion meeting, we wish to bring many experts across the world in the area of arithmetic geometry together to share their ideas and the current state of research that will facilitate future research in this direction. We strongly encourage participation of young researchers.

CAIM series provide a forum for the review of the recent trends in applied and industrial mathematics either from a qualitative or from a numerical point of view.

The conference is about recent developments in Arithmetic Algebraic Geometry. Its central theme is the geometry of Shimura varieties and related spaces in all its facets. Topics to be covered include: Integral models of Shimura varieties and the geometry of their reductions, p-adic and perfectoid geometry, special cycles on Shimura varieties, moduli spaces of Galois representations and (φ, Γ)-modules.

This semester-long program in geometric analysis will focus mostly on complex geometry and Kähler geometry, but with the occasional excursion into real geometry. While the inspiration has deep geometrical roots, the tools are to a large degree those of partial differential equations. A lot of the activity will centre on six workshops:

PDEs in Complex Geometry (April 15-19, 2024)

Special Riemannian Metrics in Dimensions 6,7,8 (April 22-26, 2024)

Analysis of Geometric Singularities (May 13-17, 2024)

Moduli Spaces and Singularities (May 20-24, 2024)

Current Trends in Kähler Metrics with Special Curvature Properties (June 17-21, 2024)

Current Trends in Geometric Flows (June 25-29, 2024)

There will be a significant portion of the term and its resources devoted to training. Apart from resources set aside for students to attend the workshops, the semester will coordinate with the Séminaire de Mathématiques Supérieures (SMS). This school, a Montreal tradition, has been providing high-level training for graduate students since 1960, with some of the very top leaders in the field as lecturers.

We think that the 2024 SMS will be no exception. The topic is:

Flows and Variational Methods in Riemannian and Complex Geometry: Classical and Modern Methods (June 3-14, 2024).

The biannual ANTS meetings are the premier international forum for the presentation of new research in computational number theory and its applications, including algorithmic aspects of number theory, including elementary number theory, algebraic number theory, analytic number theory, geometry of numbers, algebraic geometry, finite fields, and cryptography.

See conference website

The aim of this meeting is to bring together people attacking key problems in number theory via techniques involving concrete or computable descriptions. Here, number theory is interpreted broadly, including algebraic and analytic number theory, Galois theory and inverse Galois problems, arithmetic of curves and higher-dimensional varieties, zeta and L-functions and their special values, and modular forms and functions. Considerable attention is paid to computational issues, but the emphasis is on aspects that are of interest to the pure mathematician.

Because of limited space, participation is by invitation only.