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

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

• Simone Cecchini, Texas A&M University

• Dawei Chen, Boston College

• Anna Fino, Florida International University

• David Fisher, Rice University

• Mohammad Ghomi, Georgia Institute of Technology

• Svetlana Jitomirskaya, Georgia Institute of Technology

• Tracy Payne, Idaho State University

• Craig Sutton, Dartmouth College

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

For more information, please see the conference website:

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

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

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

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

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

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

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

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

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

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

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

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

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

Suggested prerequisites:

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

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

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

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

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

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

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

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

A Conference in Honour of Mike Hopkins

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

The summer school will include mini-courses on:

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

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

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

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

Organizing Committee:

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

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

The 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.

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

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

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

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

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

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

See conference website