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Upcoming Meetings

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December 2022

Knots in Washington 49.875

gt.geometric-topology kt.k-theory-and-homology
2022-12-09 through 2022-12-11
The George Washinton University
Washington, DC; USA

Meeting Type: conference

Contact: Jozef Przytycki, Ali Guo

Description

Every semester, a group of GW topologists and their friends organize an international conference on Knot Theory and its Ramifications in or near Washington, DC. This tradition was started in the fall of 1995 by Jozef H. Przytycki and Yongwu Rong on the heels of a very successful first Knots in Poland conference organized in Warsaw by Joanna Kania-Bartoszynska, Jozef H. Przytycki and Pawel Traczyk.

January 2023

Topological Hochschild Homology and Zeta Values

ag.algebraic-geometry kt.k-theory-and-homology nt.number-theory at.algebraic-topology
2023-01-30 through 2023-02-03
University of Copenhagen
Copenhagen; Denmark

Meeting Type: Masterclass

Contact: Shachar Carmeli, Lars Hesselholt, Ryomei Iwasa, Mikala Jansen

Description

The masterclass will present spectacular recent advances in motivic filtrations and their applications. To briefly put this in context, every cohomology theory, in arithmetic geometry and elsewhere, should arise as the graded pieces of a motivic filtration of some localizing invariant, algebraic K-theory and topological cyclic homology being notable examples. The definition of the appropriate motivic filtrations, however, was long elusive. Voevodsky received the 2002 Fields medal, in part, for his definition of the motivic filtration of algebraic K-theory of schemes smooth over a field. This definition, however, was based on algebraic cycles, which are notoriously difficult to handle. In 2018, Bhatt, Morrow, and Scholze defined a motivic filtration of p-complete topological cyclic homology in an entirely different way, which is much simpler and easier to employ elsewhere, and this breakthrough has led to numerous advances.

Building on work of Antieau, Morin, and, independently, Bhatt-Lurie, have refined the Bhatt-Morrow-Scholze filtration to a filtration of non-completed topological cyclic homology, and Morin discovered that its graded pieces precisely account for an archimedean factor in a conjectural formula for the special values of the Hasse-Weil zeta function of a regular scheme, proper over the integers. It is very exciting to see that such quantative archimedean information can be extracted from topological cyclic homology! More recently, Hahn-Raksit-Wilson introduced the even filtration, and showed that it accounts for both the Bhatt-Morrow-Scholze filtration and the Morin and Bhatt-Lurie refinements thereof. It might also recover and extend Voevodsky's filtration?

February 2023

Learning Workshop on BPS States and 3-Manifolds

gt.geometric-topology mp.mathematical-physics nt.number-theory qa.quantum-algebra
2023-02-27 through 2023-03-03
ICTP
Trieste; Italy

Meeting Type: workshop

Contact: see conference website

Description

The main scientific theme of the workshop is counting BPS states in physical systems associated to 3-manifolds or links, and interpretation of these counts as old or new topological invariants.

Although the ideas behind such relations appeared already in the late 90s, the recent years have seen some dramatic new developments. The goal of this learning workshop is to bring together physicists and mathematicians who are experts in the subject and also those who would like to enter the field. In particular, the talks will be given both by senior scientists and junior ones, including PhD students who only recently began working on the subject. The talks will be supplemented by dedicated discussion sessions where experts can answer questions that will be submitted by participants to the moderator in advance, or asked directly during the session.

Topics:

-- "Z-hat" and F_K invariants counting BPS states in 6d superconformal field theory compactified on 3- manifolds, and their relation to known invariants of 3-manifolds and links

-- Knots-quivers correspondence and its generalization to knot complements

-- Properties of generating functions counting BPS states, including: modularity, relation to characters of (logarithmic) Vertex Operator Algebras, GW/DT invariants

March 2023

Homotopy theory @ Northwestern

at.algebraic-topology
2023-03-20 through 2023-03-24
Northwestern University
Evanston, IL; USA

Meeting Type: conference

Contact: Benjamin Antieau, John Francis

Description

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

June 2023

A Panorama of Homotopy Theory

at.algebraic-topology gt.geometric-topology mp.mathematical-physics
2023-06-05 through 2023-06-09
Oxford University
Oxford; UK

Meeting Type: conference

Contact: Aravind Asok, Dan Freed, Mike Hill, Ulrike Tillmann

Description

A Conference in Honour of Mike Hopkins

Summer School on Scissors Congruence, Algebraic K-theory, and Trace Methods

at.algebraic-topology kt.k-theory-and-homology
2023-06-26 through 2023-06-30
Indiana University, Bloomington
Bloomington, IN; USA

Meeting Type: summer school

Contact: Michael Mandell

Description

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

Scientific Committee:
  • 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

July 2023

2023 International Conference on Topology and its Applications

at.algebraic-topology gn.general-topology gt.geometric-topology ho.history-and-overview
2023-07-03 through 2023-07-07
University of Patras and University of Peloponese
Nafpaktos/Greece; Greece

Meeting Type: conference

Contact: Professor Dimitris Georgiou

Description

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.

Homotopy theory, K-theory, and trace methods

at.algebraic-topology kt.k-theory-and-homology
2023-07-05 through 2023-07-07
Radboud University
Nijmegen; Netherlands

Meeting Type: conference

Contact: see conference website

Description

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.

A Festival Remembering Victor Snaith: Topology, Number Theory and Interactions

at.algebraic-topology kt.k-theory-and-homology nt.number-theory ra.rings-and-algebras
2023-07-10 through 2023-07-14
University of Bristol
Bristol; UK

Meeting Type: conference

Contact: Haluk Sengun

Description

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.

July 2024

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