We are pleased to announce the fourth installment of the Upstate New York Topology Seminar (UNYTS)! Binghamton University will be hosting UNYTS 2025 from Saturday March 1st - Sunday March 2nd in Binghamton, New York. The conference is open to everyone, you do not need to be from NY to register or to apply for funding.

The registration form is on the website. Please register by 01/31 to be considered for funding. The deadline to register is 02/15.

Our plenary speakers are:

Carolyn Abbott (Brandeis University)

Christy Hazel (Grinnell College)

Thomas Koberda (University of Virginia)

J.D. Quigley (University of Virginia)

We will also have parallel sessions where individuals can give 20 minute talks. Please register if you are interested in giving one!

Please join us to celebrate Stephan Stolz' retirement and topology and geometry in the Midwest! We thank the National Science Foundation (NSF) and the Department of Mathematics, School of Science, and Office of Research at Notre Dame for support.

Registration by March 1 is requested and early funding decisions will be made on February 15 (an additional round of funding decisions will be made on March 1).

Confirmed Speakers:

• Dan Berwick-Evans, UIUC
• Holt Bodish, UIUC
• Owen Gwilliam, UMass (Amherst)
• Michael Joachim, Münster
• Ralph Kaufmann, Purdue
• Martina Rovelli, UMass (Amherst)
• Maru Sarazola, Minnesota
• Laura Schaposnik, UIC

Women In Number theory and Geometry (WINGs) 2025 is the fifth edition of an annual retreat aimed at early-career mathematicians. Our goal is to help cultivate a sense of community among women and other under-represented genders in number theory and geometry, as well as share their research interests. This year, WINGs will be held at the Mercure Haydock Hotel from March 31st to April 3rd 2025. Accommodation and meals will be provided for all participants.

Speakers include: Sara Angela Filippini (Università del Salento) Ailsa Keating (University of Cambridge) Margarida Melo (Università Roma Tre) Eugenia Roșu (Universiteit Leiden) Rosa Winter (UniDistance Suisse) In addition, there will be two talks about opportunities beyond academia, including one by a speaker from Journal of Number Theory. There will also be social activities to encourage interaction between participants, a session of lightning talks, and 20-minute talks given by participants, in the aim of learning about each other’s research interests and practising presentation skills. You can apply here until February 9th 2025. We aim to give you a response by the end of the following week. For updates and further information, please see our website and if you have any questions, don’t hesitate to contact us at [email protected].

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

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.

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 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.

During this one week summer school, Eleonora di Nezza (Paris, Sorbonne) and Siarhei Finski (Paris, CNRS) will give introductory talks on Kahler geometry to a group of non-experts, primarily composed of students and postdocs. Registration to open soon. The event is part of a special semester on complex geometry at the Renyi Insitute.

Eleonora Di Nezza: Pluripotential theory and L∞ estimates for complex Monge-Ampère equations

Abstract: In these lectures, we introduce and explore fundamental concepts in pluripotential theory, which are essential for studying (degenerate) complex Monge-Ampère equations on Kähler manifolds. We then shift our focus to a novel approach for obtaining L∞ a priori estimates for these equations. This method, which has a "local" character and relies solely on the use of envelopes, was recently developed by Guedj and Lu.

Siarhei Finski: Asymptotic study of submultiplicative filtrations

Abstract: It has long been recognized that the study of manifold degenerations plays a crucial role in addressing many questions in geometry, including the search for canonical metrics. Some degenerations can be understood on the algebraic level through the so-called submultiplicative filtrations, which are certain filtrations on rings respecting the algebraic structure. The most basic example is the filtration on the space of homogeneous polynomials given by the order of vanishing along a subvariety in the projective space.

This course is about the geometric quantization approach to these filtrations, which effectively establishes several results at the crossroads of algebraic and differential geometry. We discuss some applications towards the search of canonical metrics and cover the necessary preliminaries including the Ohsawa-Takegoshi extension theorem, Bergman kernels, and the theory of graded normed algebras.

During this one week summer school, Hans-Joachim Hein (Munster) and Daniele Angella (Firenze) will give series of talks on recent advances on Singular Kahler metrics, and Hermitian geometry respectively. We expect that the audience will consist of advanced graduate students, postdocs and junior faculty working in complex geometry. Both speakers will deliver 4 lectures of 50 minutes, with each lecture accompanied by a problem session. Registration to open soon. This event is part of a special semester on complex geometry at the Renyi Insitute

Daniele Angella: Cohomological properties and Hermitian metrics of complex non-Kähler manifolds

Abstract: the first lectures will provide a survey of the cohomological properties and topological aspects of complex manifolds, as well as canonical metrics on complex manifolds. We will then focus on some analytic problems concerning the geometry of the Chern connection on Hermitian manifolds, such as the existence of metrics with constant Chern-scalar curvature, generalizations of the Kähler-Einstein condition to the non-Kähler setting, the convergence of the Chern-Ricci flow on compact complex surfaces, and the asymptotic behavior of Monge-Ampère volumes of Hermitian metrics in the ddc-class.

Hans-Joachim Heins: TBA

The aim of this workshop is to explore recent advances in Kähler geometry, focusing on non-Archimedean aspects of the Strominger--Yau--Zaslow conjecture, potential-theoretic approaches to singular Kähler-Einstein metrics, geometric estimates for solutions to Complex Monge–Ampère equations, connections with the minimal model program, and Calabi-Yau metrics on non-compact manifolds. Registration to open soon. This event is part of a special semester on Complex Geometry at the Renyi Institute

Speakers:

Enrica Mazzon Yueqiao Wu Ye-Won Luke Cho Jian Song Bin Guo Song Sun Antonio Trusiani Christiano Spotti Chung-Ming Pan Jakob Hultgren Yuchen Liu Vincent Guedj Mihai Paun Charlie Cifarelli Yang Li (TBC) Tristan Collins Annamaria Ortu

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 goal of this workshop is to bring together both senior and junior specialists in the fields of almost complex and non-Kähler geometry to present their latest achievements in research. Key topics will include cohomological properties of complex and symplectic manifolds, analytical techniques in non-Kähler geometry, special structures on complex manifolds, deformations of complex objects, topological aspects of complex and symplectic manifolds, and Hodge theory on almost Hermitian manifolds. Registration to open soon. This is event is part of a special semester on complex geometry at the Renyi Institute.

Speakers:

Yakov Eliashberg (TBC) Richard Hind Tom Holt Uros Kuzman Lorenzo Sillary Nicoletta Tardini Scott Wilson Weiyi Zhang Daniele Angella Gueo Grantcharov Nicolina Istrati Slawomir Kolodziej Alexandra Otiman Tat Dat To Valentino Tosatti Misha Verbitsky Vestislav Apostolov Gil Cavalcanti

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.