The purpose of this lecture series is to introduce the audience to basic ideas of specific areas of contemporary pure mathematics. Each lecture shall present an area: where it comes from, where it currently is, where it goes. Lectures will be given by prominent mathematicians twice a year: in the Spring and in the Autumn. Before and after each lecture we will organize reading seminars to prepare the audience for the lecture and to dig further into the topic of the lecture. With the lecturer’s consent, lectures will be recorded, slides and/or lecture notes will be provided if available.

The IAS/Park City Mathematics Institute is a three-week residential summer session with a graduate summer school, a research program, an undergraduate summer school, and an undergraduate faculty program. More information can be found on the conference website. PCMI encourages applications from all those with interest in the program, both from the US and internationally. This year it is organized by Benjamin Antieau (Northwestern University), Marc Levine (Universität Duisburg-Essen), Oliver Röndigs (Universität Osnabrück), Alexander Vishik (University of Nottingham), and Kirsten Wickelgren (Duke University).

See conference website

The follow-up to the 2015, 2017, 2019 and 2022 Students' Conference on Tropical and Non-Archimedean Geometry, will take place in Regensburg from July 22, 2024 to July 26, 2024. The goal of the conference is to gather mainly PhD students and young post-docs in tropical, Arakelov or non-archimedean geometry in a friendly setting and foster new collaborations.

The conference will begin with three introductory lectures on tropical, Arakelov and non-archimedean geometry respectively, aimed in particular at new PhD students. Those will then be followed by more traditional research talks. We also encourage participants to apply for giving a talk.

Topology and its Applications, 28.07-1.08 2024, Ohrid, N. Macedonia

The first conference of the series of ICTA conferences was organized in 2000 in Ohrid. In the new millennium, several ICTA conferences were organized at different locations. This year, the conference ICTA2024 will be organized in Ohrid. The conference venue is Congress Center in Ohrid, of Ss. Cyril and Methodius University.

Main Topics: Homotopy and Shape, Topology Dynamics, General Topology, Digital Topology, Graph Theory.

This summer school will explore new developments at the intersection of condensed matter physics, C* algebraic quantum mechanics and algebraic topology. Specifically, the goal is to explore how C* algebras are used to study topological phases of matter in the thermodynamical limit, and how methods from topology and homotopy theory can be applied in this setting to study phases of quantum systems.

Tropical geometry is a piece-wise linear geometry which merges ideas from algebraic, symplectic and non-archimedean geometry with tools from combinatorics and convex geometry. Via the process of tropicalization, classical varieties and geometric problems can be connected to the tropical world and, in some cases, solved there. In non-archimedean geometry, the valuation on the underlying field makes the idea of tropicalization particularly natural and powerful. In recent years, this connection has received much attention and exhibited links to diverse topics such as Hodge theory, mirror symmetry and the study of zeta functions. The main goal of this event is to introduce students and young mathematicians to these exciting topics and to foster and strengthen the connections between local researchers and the international mathematical community.

The school will introduce the participants to tropical and non-archimedean geometry via two minicourses given by Ilia Itenberg (Sorbonne Université) and Marco Maculan (Sorbonne Université). Additionally, in the research talks we will explore the latest developments in the field. We hope that this school can serve as the starting point for a local network of researchers and students and therefore can be continued in the coming years by follow-up events of a similar type.

The aim of this conference is to help narrow the gap between computational mathematicians and mathematical cryptographers, driven by the many new hardness assumptions that are emerging in the context of post-quantum cryptography. The conference will be organized along the four main mathematical themes in post-quantum cryptography: lattices, error-correcting codes, systems of non-linear equations, and isogenies.

The Young Topologists Meeting is an annual international conference aimed at early-career researchers in topology - both pure and applied - covering the whole breadth of the subject. It serves as a platform for graduate, PhD students, and early postdocs to present their research, exchange ideas, and build international connections.

Previous editions of the conference have been organized by the EPFL, Switzerland, the University of Copenhagen, Denmark, and jointly by the University of Stockholm and the Royal Institute of Technology, Sweden. Next up: Münster, Germany.

A celebration of the mathematics of Eric Friedlander on the occasion of his 80th birthday

The Talbot Workshop is an annual mathematical retreat for early career participants — primarily graduate students — to become acquainted with current research in algebraic topology and related fields. The 2024 Talbot Workshop is titled "Topological Cyclic Homology of Ring Spectra" and will be mentored by Jeremy Hahn (MIT) and Allen Yuan (Northwestern/IAS).

Topological cyclic homology is a rapidly developing subject sitting between homotopy theory and (via the work of Bhatt–Morrow–Scholze) p-adic arithmetic geometry. There are now many excellent introductions to topological cyclic homology that focus on discrete commutative rings and spherical group rings. We aim to give a computationally focused introduction to the topological cyclic homology of finite height ring spectra. The topic is also closely connected to (MU-based) synthetic spectra, and may help familiarize students with their use in computations.

The workshop will proceed by discussing THH and its concomitant structures: the motivic filtration, the circle action, and the Frobenius map. We will follow the discussion of each structure with computations in the examples of THH(Fp), THH(Z), and THH(ku), with the ultimate goal of understanding syntomic cohomology and Lichtenbaum–Quillen theorems. Time permitting, we will conclude with connections to the algebraic K-theory of ring spectra, chromatic redshift, the telescope conjecture, and prismatization.

This summer school aims at providing graduate students and advanced undergraduate students tutorials in various advanced topics in symplectic geometry and introductions to recent developments. This year we focus on, but are not restricted to, the foundational aspects, including the theory of global Kuranishi charts, integer-valued curve-counting invariants, Hamiltonian dynamics, and contact topology.

This is a conference in honour of Ulrike Tillmann's 60th birthday. While celebrating Ulrike's work in, and influence on, the topology of moduli spaces, the event will be a research conference, focused on the latest developments in this subject.

The Journal of Number Theory hosts a number theory conference every two years to publicize recent advances in the field. The JNT also sponsors the David Goss Prize, a 10K USD prize awarded every two years to a young researcher in number theory and presented at the JNT Biennial.

The 9th installment of AGACSE (Applied Geometric Algebras in Computer Science and Engineering) will take place August 26-29 in Amsterdam.

The field of Geometric/Clifford Algebras has seen a recent surge in applied interest, as witnessed on https://bivector.net, its accompanying discord server, and other forums. The unifying nature of the GA framework is prompting company-wide software approaches to geometrical, mechanical and EM solutions. The novel PGA (the GA of 3D Euclidean geometry) has simplified the classical data structures from computer graphics to classical mechanics simulators. And the very recent applications within Geometrically Equivariant Networks have immediately produced successes that draw in new researchers and practitioners, with new software platforms and tutorials appearing monthly.

The AGACSE conference aims to showcase successful examples of such applications from industry, and discuss the new developments now brewing in research labs. We expect a fruitful interaction between practice and theory, in which novel insights inform implementations, and new target domains raise interesting new structural questions.

You may find the conference website here: https://staff.science.uva.nl/l.dorst/AGACSE2024/index.html.

The first important deadline is the submission of a 4-6 page abstract by February 29, 2024.

We hope to see you in Amsterdam in August 2024!

dr ir Leo Dorst, University of Amsterdam prof dr Joan Lasenby, University of Cambridge

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.

The workshop is primarily aimed at researchers on the doctoral and early postdoctoral level. Besides some already announced mini-courses and research talks, we will offer selected participants the opportunity to present their own work.

Our meeting will bring together researchers in various fields of mathematics such as Geometry, Combinatorics and Algebra. Through scientific talks new directions will be given and open problems will be proposed aiming at new collaborations among the participants.

This is a summer school aimed at advanced Masters students and PhD students. There will be three courses,

Class Field Theory (Tamás Szamuely)

Elliptic Curves (TBA)

Cohen-Lenstra Heuristic (Alex Bartel),

with lectures in the morning and exercise sessions in the afternoon. The number of participants will be limited to 50 and we have funds to cover the accommodation costs of about 35 participants. Registration is open until 20 May.

The purpose of the Annual International Conference of the Georgian Mathematical Union is to bring together mathematicians from various fields to present their original research results and provide opportunities to establish new connections within the fields of pure and applied mathematics, as well as science, engineering, and technology. The conference also provides valuable networking opportunities for you to meet great personnel in these fields. Sections: • Algebra and Number Theory • Differential and Integral Equations, and Their Applications • Geometry and Topology • Logic, Language, Artificial Intelligence • Mathematical Education and History • Mathematical Logic and Discrete Mathematics • Mathematical Modeling and Numerical Analysis • Mathematical Physics • Probability Theory and Statistics, Financial Mathematics • Real and Complex Analysis

Automorphic forms are present in almost all areas of modern number theory. Over the past few decades, there has been an explosion of activity and progress in this vast field, leading to exciting new directions of research, new applications, and connections to other fields. The Building Bridges conferences are a central element in this evolution of the subject. The Building Bridges conference is an international biennial event, the 2024 edition will be the sixth. These meetings, which last two weeks, consist of a summer school, followed by a one-week workshop. Each summer school consists of three 2-day mini-courses, taught by teams of internationally renowned researchers. The courses are given by pairs of teachers- made up of a European and an American researcher, giving meaning to the idea of a bridge between the research carried out in the two continents. The workshop is organized in a very dynamic way and is well known and well received by the experts. The format of the conference is special: there are no guest speakers, but the time is shared equally between all speakers, following the advice of the scientific committee. The objective is to promote young researchers by giving them the same time to present their research as experienced scientists in the field. There will also be several awareness round tables on themes of social interest.

Join us at the forefront of innovation! The Institute of Mathematics and its Applications is proud to present the AI/ML Congress 2024—an inclusive gathering of academics, industrialists, and AI enthusiasts from diverse fields. Explore the limitless possibilities of Artificial Intelligence and Machine Learning through engaging presentations, panel discussions, and unparalleled networking opportunities. A Symphony of AI Expertise Delve into a rich tapestry of short presentations showcasing cutting-edge research and applied work in AI across diverse fields, encompassing: • Healthcare: Witness the transformative power of AI in revolutionising medical diagnosis, treatment planning, and drug discovery. • Finance: Explore the intricate interplay of AI in financial modelling, risk assessment, and fraud detection. • Environment: Discover AI’s role in fostering sustainable practices, optimising resource utilisation, and combating climate change. • Manufacturing: Witness the seamless integration of AI in streamlining production processes, enhancing product quality, and optimising supply chains. • Retail: Immerse yourself in the personalised shopping experiences powered by AI, from product recommendations to predictive analytics. • Legal: Discover AI’s transformative impact on legal research, contract generation and review, and dispute resolution. • Media: Explore the innovative applications of AI in content creation, speech/audio recognition, and sentiment analysis. Panel Discussions -Unleashing Novel Applications and Emerging Trends Engage in thought-provoking panel discussions led by industry experts and leading AI researchers, delving into: • The Ethical Implications of AI: Explore the ethical considerations surrounding AI development, deployment, and societal impact. • AI and the Future of Work: Unravel the transformative impact of AI on the workforce, automation, and job creation. • AI for Social Good: Discover the potential of AI to address global challenges, from poverty alleviation to disaster management. A Congress for All AI Enthusiasts Whether you’re an academic seeking the latest research breakthroughs, an industrialist eager to harness AI’s power, a researcher pushing the boundaries of innovation, or simply an AI enthusiast fascinated by its potential, the IMA AI/ML Congress welcomes you with open arms. The Congress aims to foster an environment where interdisciplinary collaboration thrives, and all views are welcome.

In 2019, the organizers created a workshop called Number Theory in the Americas, which brought together junior and senior mathematicians from North, Central, and South America, to work together on research projects. The workshop resulted in at least seven publications, and served as a first collaboration experience for many of the junior researchers. The organizers propose to create a follow-up workshop in order to provide collaboration opportunities for the PhD students and postdocs who were too young to participate the last time. The workshop will be held in Spanish in order to erase the additional obstacle of communicating in English. We will welcome native and non-native speakers alike.

Our workshop is modeled after several other workshops that have been successful at fostering mathematical collaboration. Participants will be divided into small project groups (3-5 participants) containing a mix of junior and senior researchers. Each group will be led by one or two senior mathematicians. Project groups will be assigned based on research area, with care taken to ensure that each group contains researchers from both continents who have not previously worked together. Background reading will be sent to project group members several months in advance so that they are prepared to work on their respective problems together when they arrive in Oaxaca. The bulk of the workshop will be devoted to working in the project groups, but there will be introductory talks on the first day and final reports on the last day. There will also be panel discussions on topics of particular interest to junior researchers. The expectation is not that each project group will write a paper by the end of the week. Rather, it is meant to be an opportunity to exchange ideas and a starting point for potential future collaboration.

This workshop is motivated by recent developments in geometric representation theory, related to wild ramification in the geometric Langlands program and non-abelian Hodge theory. The goal is to bring together researchers in these fields and researchers working on irregular singularities (in particular Stokes phenomena), to stimulate future interactions.

It will feature research talks from experts in the field, a poster session for early-career researchers as well as three mini-courses by

Jean-Baptiste Teyssier (Sorbonne Université), Valerio Toledano-Laredo (Northeastern University) and Zhiwei Yun (Massachusetts Institute of Technology).

CIMPA/AESIM introductory school of number theory for developing countries

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering. The aim of this conference is to bring together the applied mathematics, statistics, machine learning, engineering, physics and industrial communities around the topic of inverse problems to discuss recent developments and open challenges in theory, methodology, computational algorithms, and applications. We welcome industrial representatives, doctoral students, early career and established academics working in this field to attend. Topics of interest include, for example, • Inverse problems in mathematical and computational imaging. • Inverse problems in science, medicine, engineering, and other fields. • Model‐based and data‐driven methods for solving inverse • Optimisation, statistical, and machine learning methods for solving inverse problems. • Mathematical theory for inverse problems. • Deterministic and stochastic computational methods and algorithms.

Call for Presentations/posters Contributions will be accepted for the conference based on a 200 word abstract for oral or poster presentation. We welcome abstracts to be submitted by 15th March 2024.

Inverse problems are widespread in many varied fields such as medical and satellite imaging, biology, astronomy, geophysics, environmental sciences, computer vision, energy, finance, and defence. These problems are inverse in the sense that they arise from seeking to use a mathematical or physical model “backwards” to indirectly determine a quantity of interest from the effect that this quantity causes on some observed data. A main challenge resulting from using models “backwards” to measure causes from their effects is that solutions are often not well posed, i.e., not unique and/or unstable with respect to small perturbations in the data. This difficulty has stimulated an important amount of research and innovation at the interface of applied mathematics, statistics, engineering, physics, and other fields, leading to great social and economic benefit through impact on science, medicine, and engineering. The aim of this conference is to bring together the applied mathematics, statistics, machine learning, engineering, physics and industrial communities around the topic of inverse problems to discuss recent developments and open challenges in theory, methodology, computational algorithms, and applications. We welcome industrial representatives, doctoral students, early career and established academics working in this field to attend. Topics of interest include, for example, • Inverse problems in mathematical and computational imaging. • Inverse problems in science, medicine, engineering, and other fields. • Model‐based and data‐driven methods for solving inverse • Optimisation, statistical, and machine learning methods for solving inverse problems. • Mathematical theory for inverse problems. • Deterministic and stochastic computational methods and algorithms. Call for Presentations/posters Contributions will be accepted for the conference based on a 200 word abstract for oral or poster presentation. We welcome abstracts to be submitted by 15th March 2024. https://my.ima.org.uk Please indicate whether your title is intended for oral “presentation” or “poster” presentation. Note: If you are an IMA Member or you have previously registered for an IMA conference, then you are already on our database. Please “request a new password” using the email address previously used, to log in. Organising Committee Matthias Ehrhardt, Chair Tatiana Bubba Yurky Korolev Silvia Gazzola Programme Committee Marta Betcke Romina Gaburro Jonas Latz Audrey Repetti Paul Ledger Thomas Blumensath Tristan Van Leeuwen Silvia Villa Per Christian Hansen Richard Nickl

Through a community initiative supported by the Institute of Mathematics and its Applications, the Isaac Newton Institute for Mathematical Sciences and the Heads of Departments of Mathematical Sciences (HoDoMS) and endorsed by the Royal Statistical Society, the London Mathematical Society, and the Edinburgh Mathematical Society, we are delighted to announce that in September 2024 the two‐day Induction Course for lecturers new to teaching mathematics and statistics within Higher Education will once again take place. The Induction Course is delivered as an in‐person only activity to maximise the opportunities for informal networking and discussion that have long formed a highly‐valued part of this meeting. The Induction Course for New Lecturers in the Mathematical Sciences has been designed by the mathematics community so that it is ideally suited for anyone who is new to or has limited experience teaching mathematics or statistics within UK higher education. It will be delivered by individuals with significant experience of teaching in the mathematical sciences and will focus upon the specific details and issues that arise in mathematics and statistics teaching and learning within higher education including topics such as: • Lecturing. • Supporting student learning. • Making teaching interactive. • Assessment, examinations and feedback. • Linking teaching & research. • Using technology to enhance teaching and learning. • Using examples and mathematical problem solving. • Teaching statistics and its applications. Additionally, there will be significant opportunities for delegates to discuss their own ideas, challenges and experiences with the session facilitators so that individual queries can be answered. In the past, attendance has been recognised as contributing towards some introductory institutional programmes in learning and teaching for new staff, and for the 2024 Induction Course accreditation will be provided through the Institute of Mathematics and its Applications relative to the UK Professional Standards Framework for Teaching and Supporting Learning in Higher Education. Timing The Induction Course takes place at the Isaac Newton Institute for Mathematical Sciences at the University of Cambridge and commences at 9.30am on the 16 September, and ends at approximately 4pm on the 17 September. Accommodation will be offered at the University of Cambridge on the evening of the 16 September. Session Facilitators Those leading the sessions at the Induction Course are all experienced teachers of mathematics within UK higher education. They include: • Lara Alcock (Loughborough University) • Michael Grove (University of Birmingham) • Rachel Hilliam (Open University) • Kevin Houston (University of Leeds) • Joseph Kyle (University of Birmingham) • Steve Otto (The R&A) • Chris Sangwin (University of Edinburgh) • Louise Walker (University of Manchester) • Rose Wagstaffe (University of Manchester) • Ulrike Tillmann (Isaac Newton Institute for Mathematical Sciences) Induction Course Costs Following generous financial support from the Isaac Newton Institute for Mathematical Sciences, the Institute of Mathematics and its Applications and the Heads of Departments of Mathematical Sciences (HoDoMS) we are able to offer the Induction Course at the following subsidised rates: Full residential delegate rate* (Both days including all lunches, refreshments, Course dinner and accommodation on 16 September) £299 Two‐day delegate rate (Both days including all lunches, refreshments, Course dinner but no accommodation) £240 Day delegate rate (including lunch and refreshments) £95 Induction Course dinner (as a separate purchase) £56 * Please note that accommodation is allocated on a first‐come‐first served basis. Registration Registration is now open via https://my.ima.org.uk/. If you are an IMA Member or you have previously registered for an IMA conference, then you are already on our database. Please “request a new password” using the email address previously used, to log in. Registration closes: 9th September 2024 If you are attending the conference please use the hashtag #IMANewLecturers2024 and tag the IMA on socials! Contacts A full programme for the Induction Course will be released in August 2024, but for questions or queries about the academic content or structure of the Induction Course, please contact Michael Grove: [email protected] For general conference queries, accommodation or timing information please contact: [email protected]

The Early Number Theory Researchers Workshop 2024 (ENTR 24) aims to foster colloborations and interactions among young researchers in number theory, in particular L-functions, Shimura varieties and p-adic Langlands program. The workshop has three plenary talks in these three directions. Participants are strongly encouraged to give a talk within these topics.

The Palmetto Number Theory Series (PANTS) is a series of number theory meetings held at colleges and universities in the Southeast since 2006.

Die Technische Universität Ilmenau lädt alle Studierenden und Absolventen mathematischer Studiengänge vom 7. bis zum 9. Oktober zur StuKon24 ein. Die Studierenden-Konferenz der Deutschen Mathematiker-Vereinigung ist das einzige Forum im deutschsprachigen Raum, in dem sich Studierende und hochqualifizierte Absolventinnen und Absolventen aus ganz Deutschland zusammenfinden, ihre Abschlussarbeiten präsentieren, sich über berufliche Möglichkeiten informieren und untereinander als Nachwuchswissenschaftlerinnen und -wissenschaftler vernetzen können.

Informationen und Programm: www.tu-ilmenau.de/stukon2024

Die StuKon besteht aus drei Bausteinen: Plenarvorträge von international renommierten Mathematikerinnen und Mathematikern zu aktuellen Themen der Mathematik; interaktive Workshops mit namhaften Unternehmen zur beruflichen Orientierung als Mathematikerin und Mathematiker; Vorträge von Absolventinnen und Absolventen über ihre Abschlussarbeiten mit anschließender Auszeichnung der besten Vorträge mit Preisen, zum Beispiel einem einwöchigen Aufenthalt am renommierten Mathematischen Forschungsinstitut Oberwolfach. Eingerahmt wird das Programm durch gemeinsame Pausen- und Abendaktivitäten.

The aim of this workshop is to bring together mathematicians working in integrability, geometry and the mathematical side of quantum field theories with experts in theoretical physics. Physicists and mathematicians are working on naturally intersecting themes, specifically integrability and quantum field theories, but the collaboration between these two worlds is sometimes scarce. This conference aims to be the first of many, bridging these gaps and overcoming the geographical challenges to enhance interaction between the USA and Europe.

Four invited lectures and 20-minute contributed talks on topics in combinatorics and graph theory.

Invited Speakers: Miklos Bona (University of Florida) Edinah Gnang (Johns Hopkins University) Alison Marr (Southwestern University) Jessica McDonald (Auburn University)

The Maple Conference is dedicated to exploring different aspects of the math software Maple, including its impact on education, new symbolic computation algorithms and techniques, the wide range of applications and research Maple enables, and new and upcoming advancements in Maple and related technologies.

Come to this free virtual event to:

-Discover the work done by Maple users around the world, as well as new products and initiatives from Maplesoft
-Learn about valuable techniques and features to enhance your use of Maple
-Share experiences and ideas with members of the community and with the Maplesoft product team

The 7th Mediterranean International Conference of Pure & Applied Mathematics and Related Areas (MICOPAM 2024), which is dedicated to Professor Abdelmejid BAYAD on the Occasion of his 61th Anniversary, will be held at Sherwood Dreams Resort Hotel (Ultra All Inclusive) in Antalya, TURKEY on October 26–29, 2024.

The workshop is aimed at young researchers such as PhD students and postdocs, and it features three mini-courses on different aspects of rational points.

Speakers:

• Damaris Schindler (Universität Göttingen)

• Anthony Várilly-Alvarado (Rice University)

• Bianca Viray (University of Washington)

The conference will be held on the occasion of Professor Lusztig's retirement and will review progress in representation theory and related subjects. Speakers: Robert Bedard, University of Quebec at Montreal; Corrado de Concini, Sapienza University of Rome; Pierre Deligne, Institute for Advanced Study; Meinolf Geck, University of Stuttgart; Xuhua He, University of Hong Kong; David Kazhdan, Hebrew University of Jerusalem; Gunter Malle, Technical University of Kaiserslautern; Konstanze Rietsch, King's College London; Raphael Rouquier, University of California at Los Angeles; Eric Sommers, University of Massachusetts at Amherst; Ting Xue, University of Melbourne; David Vogan, Massachusetts Institute of Technology

The International Conference on Mathematics and Artificial Intelligence aims to provide a platform for researchers to present their recent works, share ideas and new methods in various fields of mathematics and artificial intelligence. It also provides an opportunity to improve collaboration between researchers from different countries who share similar research.

The International Conference on Mathematics and Artificial Intelligence aims to provide a platform for researchers to present their recent works, share ideas and new methods in various fields of mathematics and artificial intelligence. It also provides an opportunity to improve collaboration between researchers from different countries who share similar research.

See the website for details on the subject matter of the workshop.

Per MFO rules, participation is generally limited to invited mathematicians. However, we have reserved a small number of places for early-career mathematicians, who may apply to participate by completing a short application.

The goal of the conference is to bring together international experts and young researchers working in foliations theory, diffeomorphism groups, 3-manifold topology, bounded cohomology, and 1-dimensional dynamics to share their insights and expertise and to foster collaborations that will lead to progress on important problems in both areas. Furthermore, to navigate the impact of the recent advances in each of these areas on the others, there will be minicourses to introduce young researchers to some of the major recent advances in these areas and there will be problem sessions and informal learning groups to come up with new problems within the scope of current techniques and long term projects between the subfields.

The research school is an introductory meeting to the thematic program “Representation Theory and Noncommutative Geometry” to be held at IHP from January to March 2025. The trimester is part of an ongoing effort to bridge two fiels of Mathematics : the representation theory of locally compact groups and the theory of operator algebras. These research domains share origins in harmonic analysis, spectral theory and quantum mechanics but grew in separate directions. Recent progress in representation theory, involving especially non-Riemannian symmetric spaces and spherical varieties, and new tools developed in operator algebras, especially those involving K-theory and the other methods of non-commutative geometry, offer exciting prospects for new work at the interface between the two fields.

Mini-course are:

• Erik P. van den Ban (Universiteit Utrecht): Harmonic analysis of non-Riemannian symmetric spaces
• Tyrone Crisp (University of Maine): Tempered representations from the point of view of Langlands, and from the point of view of operator algebras
• Omar Mohsen (Université de Paris-Saclay): Introduction to hypoelliptic operators and their index theory
• Hang Wang (East China Normal University): Groups C*-algebras and their K-theory

Intertwining operators are ubiquitous in representation theory. Their construction typically requires a considerable amount of analysis, and they often assume an interesting form. For instance, they are frequently pseudodifferential operators associated with pseudodifferential calculi of intense current study in noncommutative geometry. Conversely, in all multiplicity-one decompositions of representations (e.g. the theta correspondence), the essentially unique intertwining operator, or its symbol, should encode important information on the representation-theoretic decomposition.

However, those operators have received little attention from within operator algebra theory. This meeting will be the occasion to present classical and recent aspects of the theory of intertwining operators and explore the connections between operator algebras and representation theory.

Topics of special interest will include:

• Symmetry breaking operators: special families of intertwining operators between representations of a group and a subgroup. These operators, for Lie groups and algebraic groups over local fields, are the subject of intense study in various settings via analytic, algebraic and geometric methods.
• Concrete study of the intertwining operators appearing in the theta-correspondence over local fields, including interpretations coming from operator algebras and noncommutative geometry.
• Applications of intertwining operators in equivariant index theory and noncommutative geometry, such as K-theoretic constructions based on the BGG complex.

This Thematic Month aims to cover topics related to singularity theory of algebraic or analytic spaces, algebraic study of differential equations, and their applications to questions of transcendence. This 5-week program covers different themes that are often not closely related. One of the main objectives is to make them interact. To encourage participants (especially the youngest ones) to attend the entire month and foster interactions outside each one’s expertise zone, the scientific program of each week of the month will consist of courses accessible to non-experts, as well as more specialized presentations. This month will consist of five successive weeks: – Logarithmic and non-archimedean methods in Singularity Theory. The first week will focus on recent results based on methods in logarithmic geometry and non-archimedean geometry in singularity theory. – Foliations, birational geometry and applications. The second week will cover topics in birational geometry, including singularity resolution, MMP (Minimal Model Program), algebraic foliation theory, and local holomorphic dynamics. – Tame Geometry. The third week will address tame geometry in various forms: o-minimality, transseries, Hardy fields, non-archimedean analogs of tame geometry, and their applications to number theory. – Galois differential Theories and transcendence. The fourth week is devoted to differential Galois theory and its applications to questions of functional transcendence and number theory, as well as the study of periods and E and G-functions. – Enumerative combinatorics and effective aspects of differential equations. The last week is dedicated to enumerative combinatorics and certain effective aspects of differential equations, especially applications in enumerative combinatorics of techniques presented in the previous week, or as effective results on topics covered in the preceding weeks.

The classification of tempered irreducible representations for real reductive groups was completed in the 1970s by Knapp and Zuckerman, following Harish-Chandra's work on the Plancherel formula. But some aspects of the subject are now undergoing a re-examination, following the discovery of new perspectives. C*-algebras and K-theory are valuable tools in Representation Theory, as shown, for instance, by the Mackey bijection. Indeed, it was the Connes-Kasparov isomorphism in K-theory that motivated the search for a natural bijection between the tempered dual of a real reductive group and the unitary dual of its Cartan motion group, as initially suggested by Mackey in the 1970s.

The meeting will focus on recent developments in which K-theoretic ideas have offered new perspectives on the tempered dual for reductive groups or symmetric spaces, and conversely on new approaches to operator-algebraic problems using contemporary tools in representation theory.

Topics will include:

• New approaches to the Mackey bijection through pseudodifferential operator theory, which has itself undergone an extensive conceptual redesign in the past decade, thanks again to C*-algebra and K-theory connections;
• New perspectives on the the Connes-Kasparov isomorphism using Dirac cohomology and cohomological induction;
• Higher orbital intergrals, which make it possible to go beyond the "noncommutative topology of the tempered dual'', hinting at something like the "differential geometry'' of this noncommutative space;
• Study of the Casselman-Schwartz algebras and their K-theory via Paley-Wiener theorems, and connections with the Connes-Kasparov isomorphism;
• C*-algebraic analysis of the tempered dual from the point of view of G as a symmetric space for GxG, and more generally of the tempered spectrum of symmetric spaces.

Speakers:

 Charlotte Chan
 Jessica Fintzen
 Florian Herzig
 Tasho Kaletha 

Harmonic analysis on homogeneous spaces is a fundamental area of research that simultaneously generalizes classical harmonic analysis on groups and on Riemannian symmetric spaces. It naturally relates to many areas of mathematics, playing a central role in representation theory and the theory of automorphic forms.

This workshop will be an occasion to introduce recent developments in some of these areas. It will also aim to explore new connections between them and extend the fruitful interactions between C*-algebras, harmonic analysis and representation theory beyond the classical setting of groups to the general setting of homogeneous spaces.

Topics will include:

• C*-algebraic approaches to the tempered dual of non-Riemannian symmetric spaces;
• Harmonic analysis and Plancherel theory for spherical spaces;
• Connections with the Langlands program and periods of automorphic forms;
• Recent approaches to the theta correspondence via C*-algebras

Building on the success of the four previous conferences (held in 2017, 2019, 2021 and 2023) this biennial event will aim to draw together the considerable community of researchers and practitioners who use and / or develop innovative mathematics and data driven approaches, relevant to the applications and theory of Operational Research (OR). The conference will be held at the beautiful and easily accessible Conference Centre Aston in Birmingham and will showcase activities from across all areas of OR. We welcome contributions that are empirically motivated and with a focus on application, as well as those that are theoretically driven. The conference will host plenaries from leading international experts, sessions of themed talks, as well as poster sessions, and will provide plenty of opportunities for networking. We look forward to seeing you in Birmingham in April 2025 for a terrific event and to celebrate together the successes of OR! EDI The IMA, the OR Society, and the conference committee strongly support diversity and inclusion. It is our intention to host a conference that is welcoming and inclusive for all, and we will be making active efforts to support the participation of individuals and groups who are under-represented at such academic events and in our discipline more broadly. As part of improving understanding amongst the OR community of the different barriers individuals face, we would like to invite session leaders and individual speakers to include as part of their presentation(s) their own experiences of achievement, inclusion, and exclusion. This will be complemented with a number of focused sessions with key speakers on the particular challenges faced by different groups.

This meeting will take place on the occasion of the 60th birthday of Francesco Pappalardi. This event honours his outstanding contributions to number theory, and will also be a recognition of his exceptional activity in promoting mathematics in countries which need it the most. In particular, Francesco is a driving force for mathematical cooperation between Kurdistan Iraq and other countries, including Italy. This conference will be an opportunity to feature outstanding international mathematicians in Erbil and showcase the scientific potential of Kurdistan Iraq.

The conference "Number Theory, Quantum Chaos and their Interfaces” aims at gathering distinguished researchers working in either of the disciplines to discuss recent research advances in these fields, and serve as a playground for the exchange of ideas between these, rather diverse, research communities. Another purpose of our conference is to provide a solid educational platform for more junior researchers who aspire to conduct research in the relevant fields and expose them to some of the outstanding results and open problems.

This is the 37th annual Shanks Conference, focusing on all aspects of constructive function theory and related areas, including orthogonal polynomials, special functions, potential theory, energy optimization, and various problems related to optimization and efficiency.

Flows involving solid particulates are ubiquitous in nature and industry alike. Such flows are found in pharmaceutical production, the chemical industry, the food and agricultural industries, energy production and the environment. Many unsolved problems remain, however. In order to be able to solve problems, granular flows need to be understood so that their behaviour can be controlled and predicted. We are able to describe rapid granular flows, where the particles are highly agitated and there has been some success describing static systems. The intermediate regime, where these two phases meet and coexist, is not as well understood and yet is the most commonly observed behaviour of granular flow. The objective of this meeting will be to interface the two ends of the particulate flow spectrum – those working to understand the fundamentals of granular flows and those attempting to control particulate flows in an industrial setting – to develop solutions to the complex problems presented by dense granular flows. Themes will include dense granular flow, biological systems, self-propelled particles and geological flows, exploring new developments in theoretical analysis and experimental techniques. All attendees will be provided with an opportunity to present recent work and there will be substantial time for discussion, both during the workshop and during the evening! Postgraduate and PhD students are particularly welcomed and oral presentations will reflect the breadth of the field.

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

The 1st IMA Mathematics Anxiety International Conference will take place at the Centre for Mathematical Sciences, the University of Cambridge, in the heart of the historical city. It aims to bring together researchers, academics, teachers, publishers, policy makers and all interested in the conference theme from all over the world. We particularly welcome submissions from researchers (at any stage) in interdisciplinary fields such as education, psychological and behavioural science, and sociology and envisage a number of themes including: 1. Mathematics anxiety reported by non-specialists i.e., students studying disciplines other than mathematics 2. Gender and other dimensions to mathematics anxiety 3. Concepts linked to mathematics anxiety such as negative emotions, unfavourable attitudes, motivation, communication, self-efficacy, mathematical self-concept, resilience to failure, and autonomy 4. Precursors and impacts of mathematics anxiety 5. Communicating and teaching quantitative courses such as mathematics, statistics, research methods and operational research 6. Pedagogical interventions to support mathematics anxiety sufferers such as blended learning, mindset interventions, those designed to enhance self-efficacy, student-led education, and student-voice 7. Interventions such as brain stimulation 8. Promoting equity, inclusion and diversity (EDI), in mathematics education Proposals for Mini Symposium A mini symposium is a session on a specialist topic, consisting of three to four 20-minute relevant talks. You would be responsible for organising deadlines and contributions. If you are interested in holding a mini symposium then please fill out this form with a proposed title and abstract of less than 300 words. https://forms.gle/ZeqEyfK3FENutPHs5

SUBMISSION DEADLINE 1 August 2024

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)