During the 2017-18 academic year, the School will have a special program on Locally Symmetric Spaces: Analytical and Topological Aspects. Akshay Venkatesh of Stanford University will be the Distinguished Visiting Professor.

The topology of locally symmetric spaces interacts richly with number theory via the theory of automorphic forms (Langlands program). Many new phenomena seem to appear in the non-Hermitian case (e.g., torsion cohomology classes, relations with mixed motives and algebraic K-theory, derived nature of deformation rings). One focus of the program will be to try to better understand some of these phenomena.

Much of our understanding of this topology comes through analysis ("Hodge theory"). Indeed harmonic analysis on locally symmetric spaces plays a foundational role in the theory of automorphic forms and is of increasing importance in analytic number theory. A great success of such harmonic analysis is the Arthur-Selberg trace formula; on the other hand, the analytic aspects of the trace formula are not fully developed, and variants such as the relative trace formula are not as well understood. Thus analysis on such spaces, interpreted broadly, will be another focus of the program.

The program will feature a dozen one-hour talks, including two introductory workshop talks which will focus on interactions between representation theory and topology.

The workshop will turn around three series of lectures on topics in motivic homotopy theory, with a particular emphasis on some recent applications in enumerative geometry.

The main goal of this workshop will be to provide a (detailed) introduction to some of the main tools and ingredients which go into the development of this theory.

The lectures are intended for graduate students, postdocs and young researchers. The sequence of lectures will be complemented by several research talks by experts in the field.

This four day event centered around the topic of Chromatic Homotopy Theory will consist of a graduate student workshop on May 16-17 and research talks by prominent researchers in the field on May 18-20. Participants who are not part of the graduate student workshop are invited arrive on May 17 and take part in the second day of the workshop.

More information will be posted on our website soon.

Organizers: Faculty of Sciences and Mathematics University of Niš, Serbia and Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Co-organizer: Faculty of Science, University of Kragujevac, Kragujevac Serbia,

Conference Topics: Differential Geometry, Topology, Lie Groups, Mathematical Physics, Discrete Geometry, Integrable Systems, Visualization, as well as other subjects related to the main themes are welcome.

Governmental sponsors: Ministry of Education, Science and Technological Development of the Republic of Serbia

International Advisory Commitee: David Blair (East Lansing, USA), Victor Buchstaber (Moscow, Russia), Bang-Yen Chen, (East Lansing, USA), Ryszard Deszcz (Wroclaw, Poland), Branko Dragovich (Belgrade, Serbia), Anatoly T. Fomenko (Moscow, Russia), Graham Hall (Aberdeen, UK), Louis Kauffman (Chicago, USA), Oldrich Kowalski (Prague, Czech Republic) Miodrag Mateljević (Belgrade, Serbia), Josef Mikes (Olomouc, Czech Republic), Svetislav Minčić (Niš, Serbia), Emil Molnar (Budapest, Hungary), Masafumi Okumura (Japan), Leopold Verstraelen ( Belgium), Andrei Vesnin (Novosibirsk, Russia), Kostadin Trencevski (Macedonia), Luc Vrancken (Vallenciennes, France).

Program Committee: Miroslava Antic, Mirjana Đorić, Stana Nikčević, Miroslava Petrović-Torgašev, Ljiljana Radović, Zoran Rakić, Mića Stanković, Ljubica Velimirović, Srdjan Vukmirovic.

Some financial support will be available for travel and local expenses for both junior and senior participants. Since the venue has a limited capacity, we ask all interested participants to register/apply through the conference website.

Dear Colleague,

We are pleased to invite you to attend the conference 'Algebraic and geometric methods of analysis' which will take place in Odesa city, Ukraine, from 30 May till 4 June 2018.

The conference continues the traditional annual conference 'Geometry in Odesa' holding from 2004.

The purpose of this conference is to bring together researchers in geometry, topology, algebra, analysis and dynamical systems and to provide for them a forum to present their recent work to colleagues from different nationalities. This way we aim to stimulate discussion about the latest findings in geometrical and topological methods in analysis and to increase international collaboration.

The conference will cover the following topics: - Algebraic methods in geometry - Differential geometry in the large - Geometry and topology of differentiable manifolds - General and algebraic topology - Dynamical systesm and their applications - Geometric problems in mathematical analysis - Geometric and topological methods in natural sciences - History and methodology of teaching in mathematics

The British and Irish Geometry Meeting 2018 (BI-GeM 2018) will bring together experts in geometry and related areas from Ireland, the UK and all over the world to highlight current research trends in geometry and explore interactions of geometry with other subjects such as topology and group theory. The list of speakers includes:

• Barbara Baumeister, Universität Bielefeld (Germany)
• Jürgen Berndt, University College London (UK)
• Tom Brady, Dublin City University (Ireland)
• John Burns, National University of Ireland in Galway (Ireland)
• Lynn Heller, Universität Hannover (Germany)
• Jarek Kedra, University of Aberdeen (UK)
• Mary Rees, University of Liverpool (UK)

The conference is supported by the London Mathematical Society and the Irish Mathematical Society.

Organisers: Thomas Hüttemann and Brian McMaster.

The International Workshop on Algebraic Topology is a four day event which will take place at the Southern University of Science and Technology in Shenzhen, China from June 6 to June 9, 2018. This is a satellite event for the joint AMS-CMS Special Session on Algebraic and Geometric Topology which will take place at Fudan University in Shanghai, China from June 11 to June 14, 2018.

This meeting will discuss the recent developments in Schubert calculus and representation theory, bringing together scientists working in algebra, geometry and topology and mathematical physics with the aim of building interdisciplinary contacts. The meeting is free to attend; participants just have to cover their accommodation, travel and subsistence.

A school devoted to Topological Data Analysis and Persistent Homology will take place from Monday, June 11 to Friday June 15, 2018, at the Hotel Bellavista in Levico Terme (Trento, Italy), in the framework of the scientific activity of CIRM-FBK (cirm.fbk.eu/).

Topological Data Analysis (TDA) is a new research area that has recently attracted the attention of various scientific communities, both from pure and applied mathematics. The aim of this school is to provide a gentle introduction to TDA, starting from scratch, providing concrete applications and getting to the state of the art. Lectures are given by some of the most recognized specialists in this field and are addressed to a broad audience, mixing PhD students and young Post-Docs with more experienced researchers from different disciplines, among which Algebraic Topology and Algebraic Geometry.

The final program consists of three mini-courses delivered by John Harer (Duke University), Steve Oudot (INRIA Saclay) and Christopher J. Tralie (Duke University).

For details we refer to the updated official webpage of the school, published at the link

http://www.science.unitn.it/cirm/TDAPH2018.html

Some funds to cover living expenses for young participants are available. The deadline for registration and application for financial support is April 30, 2018.

Looking forward to seeing you in Levico,

The organizers

Gilberto Bini and Claudio Fontanari

The next Workshop in Geometric Topology will be held at Calvin College in Grand Rapids, Michigan, June 14 - 16, 2018. The principal speaker will be Professor Andras Stipsicz of the Alfréd Rényi Institute of Mathematics in Budapest. He will give a series of three lectures on the following topics: Lecture 1: Invariants of knots and links Lecture 2: Knot Floer homology Lecture 3: The Upsilon function of knots

In addition to the main lectures, there will be contributed talks by participants as well as ample time for less formal interaction between participants.

NSF funds will allow the workshop to provide travel support for graduate students and researchers without other means of support. The deadline for travel support requests is May 1, 2018.

The Homotopy Theory Summer Berlin 2018 will consist of two workshops with introductory summer schools on algebraic K-theory, equivariant and motivic homotopy theory. It is supported by the Berlin Mathematical School, the DFG Priority Program 1786 "Homotopy theory and algebraic geometry", and the RCN Frontier Research Group "Motivic Hopf equations". The list of confirmed participants includes:

• Stefan Schwede (Summer school lecturer)
• Florian Strunk (Summer school lecturer)
• Georg Tamme (Summer school lecturer)
• Marco Varisco (Summer school lecturer)
• Alexey Ananyevskiy
• Ben Antieau
• Aravind Asok
• Tom Bachmann
• Jean Fasel (tentative)
• Grigory Garkusha
• Bertrand Guillou
• Jeremiah Heller
• Marc Hoyois
• Dan Isaksen
• Akhil Mathew
• Haynes Miller (tentative)
• Fabien Morel (tentative)
• Thomas Nikolaus (tentative)
• Justin Noel
• Kyle Ormsby (tentative)
• Ivan Panin
• Birgit Richter (tentative)
• Christian Schlichtkrull
• Markus Spitzweck
• Vesna Stojanoska
• Kirsten Wickelgren
• Ben Williams
• Glen Wilson
• Inna Zakharevich

We look forward to seeing many of you in Berlin during this event!

The organizers:

Andrew Blumberg, Teena Gerhardt, Mike Hill, Marc Levine, Holger Reich, Oliver Röndigs, Paul Arne Østvær

Materials science has provoked and contributed to the emergence of various Nano materials, biomaterials, electronic, optical, magnetic materials, Surface engineering, Environmental and Green Materials, Biosensor and Bio-electronic Materials, Carbon Nano Structures and Graphene, Energy Harvesting Materials, Metals and Metallurgy and design of complicated structures through the innovation of technology by the advancements in the study of materials science. This meeting is also providing a platform to the companies and/or institutions to present their services, products, innovations and research results. For More Deatails Please visit: https://advancedmaterials.materialsconferences.com/

We are pleased to announce the "first edition" of the International Conference on Algebra and Related Topics (ICART 2018).

ICART 2018 will be held from the 2nd to the 5th of July 2018 at the Faculty of Sciences, Mohammed V University in Rabat, Morocco.

ICART 2018 will cover various research areas presented in the following three sessions:

• Applied and Computational Homology in Topology, Algebra and Geometry (ACHTAG)
• Homological Algebra, Modules, Rings and Categories (HAMRC)
• Linear and Multilinear Algebra and Function Spaces (LMAFS)

Please, see the website* http://www.fsr.ac.ma/icart2018/ to get more information including the list of Plenary Speakers.

Proceedings. http://fsr.um5.ac.ma/icart2018/proceedings.html
The proceedings of ICART2018 will be published in :
• A special issue of "Algebra Colloquium" for the sessions "Homological Algebra, Modules, Rings and Categories" and "Applied and Computational Homology in Topology, Algebra and Geometry".
• A volume in "Contemporary Mathematics" for the session "Linear and Multilinear Algebra and Function Spaces".

Please keep the following dates in mind as you prepare to attend icart2018 :
• Submission of Abstracts: April 20th, 2018.
• Early Registration Fee Payment: April 30th, 2018.
• Late Registration Fee Payment: Mai 31st, 2018.

Part of the Semester Programme "Homotopy Harnessing Higher Structures". This programme will highlight four related themes: the new algebraic topology of differentiable manifolds, derived representation theory and equivariant homotopy theory, the interplay between arithmetic geometry and stable homotopy theory, and the analysis of foundations in these new contexts "the homotopy theory of homotopy theory". This particular workshop will focus on the last of these themes.

This is a four day school at the PhD level. It will consist of lecture series by Mohamed Abouzaid (Columbia), , Joana Cirici (Barcelona), Craig Westerland (University of Minnesota), Hisham Sati (NYU-Abu Dhabi), Paolo Salvatore (Roma Tor Vergata) and a final speaker (tba).

The focus of this research school is on three major advances that have emerged lately in the interface between homotopy theory and arithemic: cohomological methods in intersection theory, with emphasis on motivic sheaves; homotopical obstruction theory for rational points and zero cycles; and arithmetic curve counts using motivic homotopy theory. The emergence of homotopical methods in arithmetic represents one of the most important and exciting trends in number theory, and the lectures will give a gentle introduction to this highly technical area.

The three main lecture course topics are:

Cohomological methods in intersection theory Lecturer: Denis-Charles Cisinski (Regensburg) Assistant: Chris Lazda (Amsterdam)

Homotopical manifestations of rational points and algebraic cycles Lecturer: Tomer Schlank (HUJ) Assistant: Ambrus Pal (Imperial)

Arithmetic enrichments of curve counts Lecturer: Kirsten Wickelgren (Georgia Tech) Assistant: Frank Neumann (Leicester)

The lecture courses will be supplemented by tutorial sessions and guest lectures by Paul Arne Østvær (Oslo), Jon Pridham (Edinburgh) and Vesna Stojanovska (Illinois at Urbana-Champaign)

The Young Topologists Meeting is an annual event that has previously been organised by the EPFL, Switzerland; the University of Copenhagen; and jointly by Stockholm University and the Royal Institute of Technology. The YTM 2018 will take place in Copenhagen July 9–13, 2018. The meeting is intended as an opportunity for graduate students, recent PhDs, and other junior researchers in topology to meet each other and share their work. In addition to short talks by the participants, the program for the meeting will include lectures by Kathryn Mann (Brown University) and Mike Hill (UCLA).

This is to announce that there will be a Summer School on K-theory in La Plata, Argentina during the week of July 16-20. The courses in the school will be targeted to advanced undergrad students, graduate students and postdocs. Funding is available, for US applicants in particular; the funding application forms are now available through our webpage: http://mate.dm.uba.ar/~gtartag/ktheoryconference.html Applicants are encouraged to apply for financial support in March.

The School will be followed by a K-theory Conference in Buenos AIres July 23-27; funding is also available to attend it. The combined events have been accepted as an official ICM2018 Satellite.

The following people have agreed to give courses at the School:

• Arthur Bartels, Münster, Germany.

• Inna Zakharevich, Cornell, USA.

• Andreas Thom, Dresden, Germany.

• Gonçalo Tabuada, MIT, USA.

• Beatriz Abadie, Universidad de la República, Montevideo, Uruguay.

Further information about the conference is available at the web site mate.dm.uba.ar/~gtartag/ktheoryconference.html On behalf of the organizing committee, Chuck Weibel

Young Researchers in Mathematics is an annual conference bringing together communities of PhD students, postdocs, and other young researchers from all areas of mathematics. There will be a mixture of invited speakers, workshops, and contributed talks from a number of different topics within mathematics and related industry, as well as opportunities to meet and socialise with peers. This summer, we look forward to meeting you at the University of Southampton, 23 July-26 July 2018.

The ICM2018 Satellite Conference "Braid groups, configuration spaces and homotopy theory" will take place in Salvador de Bahia, Brazil, at the Federal University of Bahia, from the 23rd to the 27th of July 2018. This meeting will focus on braid groups, configuration spaces and homotopy theory, and the interplay between them. There will be around 20 plenary talks given by invited speakers, as well as shorter talks given by the participants.

More information about the meeting may be found on the website of the conference: https://braids2018.ufba.br

For those participants who wish to present work, the deadline for registration and for submitting their work is the 2nd of March 2018. For other participants, the deadline for registration is the 31st of May 2018.

On behalf of the organisers, Daciberg Gonçalves, John Guaschi and Oscar Ocampo.

When: July 31 - August 3, 2018
Where: The University of Southern California
What: The theme of the summer school is ``Computations in stable motivic homotopy theory." For more precise information see the webpage of the summer school.
Who: The intended audience is graduate students and postdocs interested in the subject. Limited funding is available to support travel to and housing at the summer school. Please register at the webpage for the summer school to request funding. Priority for funding requests will be given to those applications complete before July 1, 2018.
Organizers: Aravind Asok and Oliver Röndigs

Satellite conferences will appear later with their own entries.

Part of the Semester Program "Homotopy Harnessing Higher Structures." This programme will highlight four related themes: the new algebraic topology of differentiable manifolds, derived representation theory and equivariant homotopy theory, the interplay between arithmetic geometry and stable homotopy theory, and the analysis of foundations in these new contexts "the homotopy theory of homotopy theory". This workshop will focus on equivariant homotopy theory and its applications.

Dear All, We are writing to announce the Dragon Applied Topology Conference that will take place in Swansea, UK 11-14 September 2018. The conference webpage (still under construction) can be found here: https://sites.google.com/view/dragon-applied-topology The aim of the conference is to bring together applied and theoretical academic researchers, and industry practitioners, working with topological data analysis. Registration will open in early March. If you have any questions, please let us know, Hope to see you in Swansea, all the best, pawel dlotko

UMI-SIMAI-PTM Mathematical Meeting is a joint initiative of the Polish Mathematical Society (Polskie Towarzystwo Matematyczne), the Italian Mathematical Union (Unione Matematica Italiana) and the Italian Society of Industrial and Applied Mathematics (Società Italiana de Matematica Applicata e Industriale).

The meeting aims at continuation of the tradition of bilateral meetings held in the last years by the Polish Mathematical Society together with other national societies. Mathematicians from other countries are also cordially invited to participate. The meeting will be hosted by the Faculty of Mathematics and Computer Science of the University of Wrocław and the Faculty of Mathematics of Wrocław University of Science and Technology. Its program will cover topics pertaining to mathematical research conducted in Italy and Poland with a special focus on the applications. It will start on Monday morning September 17, 2018 and end its Scientific Program in the afternoon on Thursday, September 20, 2018. Thursday night and two following days (Friday and Saturday) may be devoted to social activities up to a personal choice (excursions, sightseeing, town's cultural events, shopping), as well as for individually organized scientific activities.

Part of the Semester Program "Homotopy Harnessing Higher Structures." This programme will highlight four related themes: the new algebraic topology of differentiable manifolds, derived representation theory and equivariant homotopy theory, the interplay between arithmetic geometry and stable homotopy theory, and the analysis of foundations in these new contexts "the homotopy theory of homotopy theory". This workshop will focus on derived algebraic geometry and the interplay with stable homotopy theory.

Part of the Semester Program "Homotopy Harnessing Higher Structures." This programme will highlight four related themes: the new algebraic topology of differentiable manifolds, derived representation theory and equivariant homotopy theory, the interplay between arithmetic geometry and stable homotopy theory, and the analysis of foundations in these new contexts "the homotopy theory of homotopy theory". This workshop will focus on the algebraic topology of manifolds.

FRG-supported conference on the interaction between symplectic topology and homotopy theory.

Derived algebraic geometry is an extension of algebraic geometry that provides a convenient framework for directly treating non-generic geometric situations (such as non-transverse intersections in intersection theory), in lieu of the more traditional perturbative approaches (such as the “moving” lemma). This direct approach, in addition to being conceptually satisfying, has the distinct advantage of preserving the symmetries of the situation, which makes it much more applicable. In particular, in recent years, such techniques have found applications in diverse areas of mathematics, ranging from arithmetic geometry, mathematical physics, geometric representation theory, and homotopy theory. This semester long program will be dedicated to exploring these directions further, and finding new connections.

Overview

HIL2019 web imageThe purpose of this workshop is to bring focused attention to Hilbert’s 13th problem, and to the broader notion of resolvent degree. While Abel’s 1824 theorem–that the general degree n polynomial is only solvable in radicals for n<4

is well known, less well known is Bring’s 1786 proof that a general quintic is solvable in algebraic functions of only one variable. Hilbert conjectured that for a general sextic, one needs algebraic functions of two variables, and that for a general degree 7 polynomial, one needs algebraic functions of three variables. More generally, it is natural to expect that as n → ∞ , so does the minimal number of variables needed to solve the general degree n polynomial. In a celebrated theorem, Arnol’d and Kolmogorov proved that, at the level of continuous functions, there is no local obstruction to reducing the number of variables to one. Thus, a resolution of Hilbert’s problem must lie deeper. Resolvent degree was introduced by Brauer in order to provide a rigorous statement of these conjectures. While no progress has yet been made on these conjectures, the study of resolvent degree is receiving renewed attention and an influx of ideas from related fields, including:

the theory of essential dimension
uniformization of moduli spaces
braid monodromy
p-adic Hodge theory

This workshop will bring together young and established researchers who work in these fields to explore topics related to Hilbert’s conjectures, to facilitate interaction between subdisciplines, and to lay the groundwork for future progress. The workshop will be organized around mini-courses by experts which will be aimed at 1) conveying the methods that can be brought to bear from each area, and 2) formulating problems concerning resolvent degree that seem particularly tractable using these methods.

Speakers:

• Michael Hopkins
• Jacob Lurie
• Matthew Morrow
• Kirsten Wickelgren

This workshop will bring together researchers at various frontiers, including arithmetic geometry, representation theory, mathematical physics, and homotopy theory, where derived algebraic geometry has had recent impact. The aim will be to explain the ideas and tools behind recent progress and to advertise appealing questions. A focus will be on moduli spaces, for example of principal bundles with decorations as arise in many settings, and their natural structures.

The purpose of the workshop is to support and expand research efforts by female mathematicians in the field of algebraic topology. The workshop will bring senior and junior researchers together with advanced graduate students to cooperate on research projects on topics of common interest. The focus of the workshop will be on active collaboration to advance the projects, rather than on knowledge communication through lectures.