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Upcoming Meetings

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July 2024

Algebraic K-Theory and Arithmetic

ag.algebraic-geometry kt.k-theory-and-homology nt.number-theory rt.representation-theory
2024-07-07 through 2024-07-13
Institute of Mathematics, Polish Academy of Science, Będlewo Conference Center
Będlewo, Greater Poland; Poland

Meeting Type: conference

Contact: see conference website

Description

none

PCMI 2024 Research Topic: Motivic Homotopy

ag.algebraic-geometry at.algebraic-topology kt.k-theory-and-homology
2024-07-07 through 2024-07-27
Institute for Advanced Study/Parc City Mathematics Institute
Park City, Utah; USA

Meeting Type: meeting with several components

Contact: Oliver Röndigs

Description

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).

Topologie

at.algebraic-topology gt.geometric-topology
2024-07-21 through 2024-07-27
MFO
Oberwolfach; Germany

Meeting Type: workshop

Contact: Mark Behrens, Ruth Charney, Oscar Randal-Williams, Andras Stipsicz

Description

See conference website

International Conference on Topology and its Applications

at.algebraic-topology ds.dynamical-systems gn.general-topology gt.geometric-topology
2024-07-28 through 2024-08-01
Ss. Cyril and Methodius University, Institute of Mathemaics
Ohrid; Macedonia

Meeting Type: conference

Contact: Nikita Shekutkovski, Beti Andonovikj,Tatjana Atanasova Pachemska, Zoran Misajleski

Description

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.

August 2024

Young Topologists Meeting 2024

ag.algebraic-geometry at.algebraic-topology ct.category-theory gn.general-topology gt.geometric-topology kt.k-theory-and-homology
2024-08-05 through 2024-08-09
University of Münster
Münster; Germany

Meeting Type: conference

Contact: Konrad Bals

Description

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.

Motivic homotopy, K-theory, and Modular Representations

ag.algebraic-geometry at.algebraic-topology rt.representation-theory
2024-08-09 through 2024-08-11
University of Southern California
Los Angeles, CA; USA

Meeting Type: conference

Contact: Aravind Asok, Christopher Bendel, Christian Haesemeyer, Julia Pevtsova, Paul Sobaje, Jared Warner

Description

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

2024 Talbot Workshop

at.algebraic-topology kt.k-theory-and-homology
2024-08-11 through 2024-08-17
Nacogdoches, TX; USA

Meeting Type: summer school

Contact: see conference website

Description

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.

Topology of moduli spaces

at.algebraic-topology gt.geometric-topology
2024-08-19 through 2024-08-23
Copenhagen Centre for Geometry and Topology
Copenhagen; Denmark

Meeting Type: conference

Contact: Oscar Randal-Williams

Description

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.

September 2024

Representations of p-adic Groups and the Langlands Correspondence, in honor of Colin Bushnell

nt.number-theory rt.representation-theory
2024-09-02 through 2024-09-04
King's College London
London; UK

Meeting Type: conference

Contact: see conference website

Description

none

Ramification in geometric Langlands and non-abelian Hodge theory

ag.algebraic-geometry nt.number-theory rt.representation-theory
2024-09-09 through 2024-09-13
Heidelberg University
Heidelberg, Baden-Württemberg; Germany

Meeting Type: workshop

Contact: Andreas Hohl, Johannes Horn, Konstantin Jakob, Judith Ludwig, Timo Richarz

Description

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).

November 2024

Representation Theory Days

rt.representation-theory
2024-11-09 through 2024-11-11
Massachusetts Institute of Technology
Cambridge, MA; USA

Meeting Type: conference

Contact: Pavel Etingof

Description

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

December 2024

Representations of p-adic Groups - application form for early career researchers

rt.representation-theory nt.number-theory
2024-12-01 through 2024-12-06
Mathematisches Forschungsinstitut Oberwolfach
Oberwolfach; Germany

Meeting Type: conference

Contact: Jessica Fintzen, David Schwein, Maarten Solleveld

Description

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.

Foliations and Diffeomorphism Groups

at.algebraic-topology dg.differential-geometry ds.dynamical-systems gr.group-theory gt.geometric-topology
2024-12-09 through 2024-12-13
Center International Recountre Mathematice (CIRM)
Luminy, Mareseille ; France

Meeting Type: conference

Contact: Mehdi Yazdi

Description

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.

January 2025

Introductory School: Methods in Representation Theory and Operator Algebras

kt.k-theory-and-homology oa.operator-algebras rt.representation-theory
2025-01-06 through 2025-01-10
CIRM
Marseille; UK

Meeting Type: winter school

Contact: Haluk Sengun

Description

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 and geometry

oa.operator-algebras rt.representation-theory
2025-01-20 through 2025-01-24
Institut Henri Poincare
Paris; UK

Meeting Type: conference

Contact: Haluk Sengun

Description

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.

February 2025

Tempered representations and K-theory

kt.k-theory-and-homology oa.operator-algebras rt.representation-theory
2025-02-24 through 2025-02-28
Institut Henri Poincare
Paris; UK

Meeting Type: conference

Contact: Haluk Sengun

Description

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.

March 2025

Arizona Winter School 2025: p-adic groups

ag.algebraic-geometry nt.number-theory rt.representation-theory
2025-03-08 through 2025-03-12
University of Arizona
Tucson, AZ; USA

Meeting Type: graduate instructional conference

Contact: see conference website

Description

Speakers:

 Charlotte Chan
 Jessica Fintzen
 Florian Herzig
 Tasho Kaletha 

Analysis on homogeneous spaces and operator algebras

kt.k-theory-and-homology nt.number-theory oa.operator-algebras rt.representation-theory
2025-03-24 through 2025-03-28
Institut Henri Poincare
Paris; France

Meeting Type: conference

Contact: Haluk Sengun

Description

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