The school and workshop will be devoted to the most diverse aspects of group theory and geometry in their broadest sense (including algebraic geometry and neighboring fields).

1) The conference "Groups and geometry" between April 6-11, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-workshop

Speakers:

Nir Avni, Gregorio Baldi, Mladen Bestvina, Emmanuel Breuillard, Serge Cantat, Thomas Delzant, Philippe Eyssidieux, Damien Gaboriau, Tsachik Gelander, Thomas Koberda, Julien Marché, Sam Mellick, Beatrice Pozzetti, Andrew Putman, Pierre Py, Nick Salter, Alex Suciu, Slobodan Tanusevski, Tianyi Zheng.

2) The school "Groups and geometry" between March 31 and April 5, 2025.

https://erdoscenter.renyi.hu/events/groups-and-geometry-school

The school will feature four series of lectures by Andrew Putman, Pierre Py, Michael Chapman and Jean Rainbault. The main target audience for the school preceeding the conference are PhD students and postdocs.

Both events are organized at the Erdős Center affiliated with the Rényi Institute of Mathematics and will take place in the main hall of the Rényi Institute in the heart of Budapest.

The school and the conference are supported by the ERC Advanced Grants of Gavril Farkas and Bruno Klingler. For the school support for young participants is available and the application procedure is described on the website above.

The deadline for registration is February 15th.

With our best regards,

Miklós Abért, Gavril Farkas, Bruno Klingler.

Calling all topologists and geometers!

We, the Topologically Allied Conference Organizers of IU Bloomington (TACOs, for short), are pleased to announce that the 2025 meeting of the Graduate Student Topology and Geometry Conference will be held at Indiana University in Bloomington, Indiana! This is the 22nd meeting of GSTGC, and it will be held from Friday, April 11 to Sunday, April 13. If you are unfamiliar, GSTGC is a conference designed by and for graduate students who are interested in topology and geometry. The conference will bring over 120 graduate students from all around the country to Bloomington, and no matter what your interests are, there will surely be both a talk that you’ll find interesting and someone else who shares those interests! There is also an opportunity for graduate students to give talks, either expositional or research (see the registration for details). If you have questions feel free to email us at [email protected]. You can find the conference website here: https://topologyandgeometry.iu.edu/gstgc25/.

Registration for the conference is now open, with a deadline of January 15, 2025. You can register at: https://topologyandgeometry.iu.edu/gstgc25/registration.html

Our plenary speakers are:

1. Sarah Koch (University of Michigan)
2. Mark Powell (University of Glasgow)
3. Inna Zakharevich (Cornell University)

In addition to our plenary speakers, we are also excited to announce the following 6 early-career speakers:

1. Agustina Czenky (University of Southern California)
2. Beibei Liu (Ohio State University)
3. Anibal M. Medina-Maradones (University of Western Ontario)
4. Maggie Miller (The University of Texas at Austin)
5. Carmen Rovi (Loyola University Chicago)
6. Roberta Shapiro (University of Michigan)

Combined, these nine speakers’ research areas cover a wide sweep of mathematics, including: topology of 4-manifolds, Bers-Teichmüller theory, scissor congruence, hyperbolic geometry, hyperbolic manifolds, topological quantum field theories, Kleinian groups, limit sets, links in 3-manifolds, applied and computational topology, homotopy theory, surgery theory, K- and L- theory, manifold theory, quantum algebra, Heegaard Floer homology, geometric group theory, and mapping class groups. There will also be at least 28 short graduate student talks to round out the weekend.

We hope to see you in Bloomington!

TACOs

The 2025 Georgia International Topology Conference https://topology.franklinresearch.uga.edu/2025GITC will take place May 19 - May 30, 2025 at the University of Georgia in Athens, Georgia. This will be the ninth in a series of octennial conferences at the University of Georgia that started in 1961.

We ask all participants to register at the website.

Speakers: Mohammed Abouzaid (Stanford), Ian Agol (UC Berkeley), Daniel Alvarez-Gavela (Brandeis), John Baldwin (Boston College), Rachael Boyd* (University of Glasgow), Roger Casals (UC Davis), Julian Chaidez (University of Southern California), Dan Cristofaro-Gardiner (University of Maryland), Oliver Edtmair (ETH Zurich), Tobias Ekholm (Uppsala University), Joshua Greene (Boston College), Pazit Haim-Kislev (IAS), Jonathan Hanselman (Princeton), Kristen Hendricks (Rutgers), Amanda Hirschi (Sorbonne Université), Ko Honda (UCLA), Bruce Kleiner (NYU), Hokuto Konno (University of Tokyo), Danica Kosanović (ETH Zurich), Marc Lackenby (Oxford), Joan Licata (Australian National University), Beibei Liu (Ohio State University), Bruno Martelli (Università di Pisa), Thomas Massoni (MIT), Maggie Miller (UT Austin), Allison Miller (Swarthmore College), Jin Miyazawa (Kyoto University), Lisa Piccirillo (UT Austin), Mark Powell (University of Glasgow), Alan Reid (Rice University), Semon Rezchikov (Princeton), Laura Starkston (UC Davis), Matt Stoffregen (Michigan State University), Luya Wang (IAS), Michael Willis (Texas A&M), Ian Zemke (University of Oregon) * to be confirmed

Scientific Committee: Danny Calegari (University of Chicago), David Gabai (Princeton), Ursula Hamenstädt (University of Bonn), Robert Lipshitz (University of Oregon),Rachel Roberts (Washington University), Paul Seidel (MIT), András Stipsicz (Alfréd Rényi Institute of Mathematics), Ulrike Tillmann (Oxford)

Local Organizers: Akram Alishahi, Eduardo Fernández Fuertes, David Gay, Peter Lambert-Cole, Gordana Matic, Mike Usher

Hello everyone,

We are delighted to announce the Talbot Workshop 2025, mentored by Alexander Kupers and Nathalie Wahl! Please see below for the details of the workshop and a link to the application.

Please share this message with anyone you think would benefit from attending.

Best regards, The Talbot Workshop organizers (Maxine Calle, Alex Karapetyan, and Eunice Sukarto)

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2025 Talbot Workshop: Homological Stability Mentored by: Alexander Kupers and Nathalie Wahl Dates: May 26 - June 1, 2025 Location: TBA, but somewhere in the US

Application link: https://forms.gle/KaStAZurFQ5LDB1z5 Application deadline: Feb 2, 2025 More details can be found on the website: https://sites.google.com/view/talbotworkshop/home

What: The Talbot Workshop is a one week learning workshop for roughly 35 graduate students and a few postdocs. Most of the talks will be given by participants, and will be expository in nature.

Topic description: Many groups and spaces come in families depending on a parameter: configuration spaces depend on the number of points considered, mapping class groups of surfaces on the genus of the surface. For such families, it often happens that the homology stabilizes as this parameter goes to infinity. Moreover, computing the stable homology frequently turns out to be easier because other tools can be used. In recent years, combining homological stability results with stable computations has become a powerful tool in algebraic topology and robust machinery for proving homological stability theorems has been developed. In this workshop we aim to introduce the participants to this circle of ideas.

Outline: This workshop will explain how to prove homological stability results through examples, such as symmetric groups, configuration spaces, mapping class groups, and others, and how to use them in conjunction with stable computations. The homological stability machines that we will cover are Quillen’s classical inductive approach and a more recent approach using Ek-algebras. Both machines have as input connectivity results for simplicial complexes and we will also see how such results are proved.

Background: The workshop will be aimed towards graduate students with a basic understanding of algebraic topology, including spectral sequences and classifying spaces.

Talbot is meant to encourage collaboration among young researchers, with an emphasis on graduate students. We also aim 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. As we are committed to promoting diversity in mathematics, we especially encourage women, minorities, and underrepresented groups in mathematics to apply.

If you have any questions, please do not hesitate to email the organizers at talbotworkshop (at) gmail (dot) com.

GTA Philadelphia 2025 is the 10th annual Graduate Student Conference in Algebra, Geometry, and Topology (GSCAGT), to be held on-campus at Temple University in Philadelphia from Friday, May 30 to Sunday, June 1, 2025. This conference aims to expose graduate students in algebra, geometry, and topology to current research, and provide them with an opportunity to present and discuss their own research. It also intends to provide a forum for graduate students to engage with each other as well as expert faculty members in their areas of research. Most of the talks at the conference will be given by graduate students, with four given by distinguished keynote speakers. This event is sponsored by the Temple University Graduate School, Temple University Department of Mathematics, and the NSF.

Keynote Speakers

• Samit Dasgupta, Duke University
• Marissa Loving, University of Wisconsin
• André Arroja Neves, University of Chicago
• Tian Yang, Texas A&M University

To register and get more information, see: https://cst.temple.edu/department-mathematics/events/gscagt-2024/gcsagt-2025

The summer school is aimed at graduate students in low-dimensional topology. The goal is to make students familiar with the novel techniques in the field that have led to recent advances in our understanding of four-dimensional manifolds.

The program will consist of four mini-courses of 5 lectures each, all accompanied by discussion sessions:

1. Skein lasagna modules (by Mike Willis and Melissa Zhang)
2. Real Seiberg-Witten theory (by Hokuto Konno and Ian Montague)
3. Kontsevich invariants from configuration spaces (by Jianfeng Lin and Danica Kosanovic)
4. Lefschetz fibrations and closed exotic 4-manifolds (by Andras Stipsicz and Zoltan Szabo)

This conference has been organized around the general trend of application of geometrical ideas in mechanics, physics and biology. The emphasis is on concrete applications and modern developments in the respective fields. An overall idea is to provide a forum for an exchange of information, ideas and inspiration and further development of the international collaboration.

This conference is addressed to mathematicians and mathematical physicists interested in contemporary mechanics, physics and biology and associated mathematical questions. The application of differential geometry to find new results on manifolds, relativity, hypersurfaces, N-body problem, gauge fields, geometric quantization, rotational sequences, minimal surfaces, biophysical systems, coherent states, Dirac and Seiberg-Witten monopoles, rigid body dynamics, Toda chains dynamics, geometric algebra, Kähler calculus, thermodynamics, etc. The meeting allows participants coming from different fields to share and to interchange geometrical ideas among them with the leading role of differential geometry. The contributions presented at the conference will be invited to be submitted to the series on Geometry, Integrability and Quantization or to the Journal of Geometry and Symmetry in Physics.

This is a graduate student workshop on discrete groups in topology and algebraic geometry. This includes topics like fundamental groups of varieties and mapping class groups. This is the second week of a three week long thematic program. The conference the following week may also be of interest to graduate students.

Conference Quasiweekend III - Twenty years on collects together experts, from all fields of mathematics, using quasiconformal methods, especially in complex dynamics, geometric function theory, geometric group theory, analysis on metric spaces. Previous conferences in this series, Quasiweekend and Quasiweekend II – Ten years after, took place in 2005 and 2015, respectively, in Helsinki. With Quasiweekend III we celebrate mathematical legacy of Juha Heinonen -- initiator of this conference series -- in the broad field of quasiconformal analysis.

The conference will consist of several research talks on topics of current interest in low dimensional topology, including four-manifolds, knot invariants, categorification, gauge theory, and connections to physics.

Confirmed conference speakers: Mina Aganagić, UC Berkeley Aleksei Andreev, U. Zurich William Ballinger, Harvard Inanc Baykur, U Mass Amherst Valentina Bias, SISSA Trieste Eugene Gorsky, UC Davis Matthew Hogancamp, Northeastern Sungkyung Kang, Oxford Marc Lackenby, Oxford Jiakai Li, Harvard Cristina Palmer-Anghel, U. Leeds Qianhe Qin, Stanford Qiuyu Ren, UC Berkeley Alexander Schmidhuber, MIT Masaki Taniguchi, Kyoto University Laura Wakelin, King's College Paul Wedrich, U. Hamburg

This is a conference on discrete groups in topology and algebraic geometry, which includes topics like fundamental groups of varieties and mapping class groups. This is the third week of a thematic program on the topic.

Chromatic homotopy theory decomposes stable homotopy theory into an infinite sequence of periodic strata, each of which has the potential to be completely computable. These ideas were made precise by the Ravenel Conjectures, which were famously solved by various combinations of Devinatz, Hopkins, Smith, and Ravenel in the decade which followed, except for one: the Telescope Conjecture. This conjecture eluded resolution until 2023, when it was shown to be false by Burklund-Hahn-Levy-Schlank. The disproof involved the discovery of a new and unexpected interface between algebraic K-theory and chromatic homotopy theory which augmented an existing and growing understanding of relationship between these two subjects as witnessed by the Quillen-Lichtenbaum Conjecture, Thomason's Descent Theorem, and the Rognes Redshift Conjecture.

The aim of this workshop is to address the question "what next?". We aim to explore this question narrowly (what does the failure of the telescope conjecture say about v_n-periodic homotopy groups?) and broadly (what are the next horizons for homotopy theory/algebraic topology/K-theory now that this major problem has been solved?). The goal of the workshop is to bring together researchers in chromatic homotopy theory, algebraic K-theory, and a variety of other neighboring areas to address these questions.

Travel support is available for US based participants thanks to the National Science Foundation.

Application details Deadline for applications: 30 Mar 2025

The goal of this conference is to bring together experts from algebraic and arithmetic geometry on the one hand and étale and stratified homotopy theory on the other. There will be a mini-course on each side to get people up to speed, as well as research talks covering recent developments on étale cohomology, étale homotopy, and related topics.

Join us for a five-day workshop hosted by UT Austin, with support from the NSF. Mornings will be dedicated to talks, and in the afternoons, participants will work in small groups on open problems related to connections between 4-manifold trisections and diffeomorphism groups. The workshop will be preceded by introductory mini-courses on Zoom taking place on June 18 and June 20. Participants may register for either or both workshop components. The workshop will conclude at noon on Friday, 6/27. Participation is by application, and the priority deadline for funding is April 7.

This conference aims to bring together early career researchers in geometric group theory, arithmetic geometry and analysis of PDEs, who will also have the opportunity to present their own results. In mostly parallel sessions, we will provide a stimulating environment for collaboration and scientific interaction between young participants and senior speakers, including:

Caterina Campagnolo (Autonomous University of Madrid), Bianca Marchionna (Heidelberg University), Maria Rosaria Pati (University of Genova), Hanneke Wiersema (University of Cambridge), Camilla Nobili (University of Surrey), Mikaela Iacobelli (ETH Zürich), Lara Gildehaus (University of Klagenfurt).

In addition to the mathematical presentations, we will also feature a lecture on gender equality in academic contexts and a career panel.

Everyone - not only women! - is welcome to participate! You can on our website! Limited fundings for travel and accommodation are available. The deadline for contributed talks and financial support is April 30th 2025.

More info and details on the structure of the conference can be found at our website. If you have any questions, don’t hesitate to contact us at [email protected].

The conference will reflect current developments in motivic homotopy theory and its applications in arithmetic geometry and geometric representation theory. It aims to bring together experts from these fields to facilitate the exchange of ideas in a collaborative and engaging environment.

The Annual International Conference of the Georgian Mathematical Union was established in 2010 and has been held traditionally at Batumi Shota Rustaveli State University. Batumi is the city of Georgia and the capital of the Autonomous Republic of Adjara. It is located along the coast of the Black Sea in the southwest region of Georgia. In accordance with recent developments, the conference has been conducted in a hybrid format since 2021.

The purpose of the conference 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.

The workshop focuses on the interplay between 3-manifold topology and geometry, the study of 3-manifold groups, and character and representation varieties, with connections to computational topology and theoretical computer science. Related topics are also welcome! This two-day event will feature introductory lectures, in-depth research talks, lightning talks, and dedicated discussion sessions. Our goal is to foster a stimulating environment by bringing together participants at various career stages, along with many local researchers.