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

IMSA is hosting a conference to honor Solomon Lefschetz, a pioneering mathematician whose work in algebraic topology, algebraic geometry, and differential equations has shaped modern mathematics. Lefschetz, who overcame adversity after losing both hands, made groundbreaking contributions that continue to influence the field. The event will bring together experts to discuss advancements in these areas and celebrate his enduring legacy.

The conference will feature two mini-courses, research talks, and an opportunity for the graduate students to present their work in a poster session, as well as a career panel. Through this conference, we hope that the graduate students and postdocs will see a broader spectrum of mathematics that are not necessarily available to them in their own institution, and we ultimately hope to build a strong community of number theorists and algebraic geometers in the Midwest. We will provide travel and hotel support to as many participants as possible. The registration form is available at magnts.org.

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.

The goal of this workshop is to present a panorama of hot topics, and their recent progress, in arithmetic geometry (incl. p-adic Hodge theory, Shimura varieties and their cohomology, L-functions, Berkovich spaces, homotopy and anabelian geometry, Galois theory, condensed mathematics, vanishing cycles, motivic theory, birational geometry,...). Talks will include introductory presentations for graduate students and for PhD researchers.

Affine Lie Algebras, Quantum Groups, and Their Representations is a workshop supported by the Croatian Science Foundation under the installation research project Quantum Current Algebras and Their Representation Theory. The workshop topics include all areas related to the representation theory of affine Lie algebras and quantum groups, such as combinatorial identities, quantum vertex algebras, etc.

The next installment of URiCA, Upcoming Researchers in Commutative Algebra (previously KUMUNU Jr), will take place on May 3rd and 4th at the University of Nebraska-Lincoln. The goal of this conference is to showcase research done by graduate students and postdocs and promote interaction among junior researchers in commutative algebra. There will be seven 50-minute invited talks as well as a poster session and a call for collaboration/open problem session. Please use the links below to register and note the registration deadline for funding is March 23rd.

List of invited speakers:

Bek Chase (Purdue University)

Caitlin Davis (University of Wisconsin-Madison)

Karthik Ganapathy (University of California, San Diego)

Nawaj KC (University of Nebraska-Lincoln)

Feiyang Lin (University of California, Berkeley)

Anastasia Nathanson (University of Minnesota Twin Cities)

Xianglong Ni (University of Notre Dame)

Please don't hesitate to contact the organizing team with any questions.

We really hope to see you at the conference!

Conference Homepage

Registration Link

09E2IhYGzxDAj5qWgthnnvYiYlTZazt3ZE4w/viewform

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 Conference aims to create a forum for Vietnamese and international researchers to present their newest scientific achievements; to provide opportunities for students and young researchers to be exposed to current research as well as to meet specialists in the field.

The closing conference of ANR JINVARIANT will be held in Bordeaux, at the Institut de Mathématiques de Bordeaux, on June 4–6, 2025. This will also be the opportunity to celebrate our friend and colleague Yuri Bilu and his work on the occasion of his 60th birthday. The conference will center around: the j-invariant function and singular moduli, modular curves, integral points, Diophantine equations.

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.

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.

The 32nd edition of Géométrie Algébrique en Liberté (GAeL) will be hosted by the Institut de Mathématiques de Toulouse from June 16-20, 2025. The deadline for applications is March 2, 2025, and the application form can be found on the website.

The GAeL conferences are a series of annual meetings organised for and by young researchers in algebraic geometry (PhD students and young postdocs). The objective is not only to introduce the participants to subjects that are likely to be of relevance in the forthcoming years, but also to encourage them to actively participate in the mathematical community at an early stage of their career. Each year we invite 3 senior lecturers to give 4 hour mini courses. The rest of the talks are chosen from among the junior participants and are often the first opportunity people get to speak in front of an international audience. We try to keep the atmosphere very friendly and inclusive.

The senior speakers in 2025 will be:

Ada Boralevi (Polytechnic University of Turin)

Talk: Spaces of matrices with rank conditions and more

Tyler Kelly (Queen Mary University of London)

Talk: A guided tour into the mirror

Daniel Loughran (University of Bath)

Talk: Stacks in birational geometry and number theory

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.

In recent years, there has been an explosion of activity surrounding algebraic points on curves, from many different perspectives. These include the study of measures of irrationality, isolated and parametrized points, computational methods to determine algebraic points, and the arithmetic statistics of algebraic points. In this workshop, we aim to bring together researchers from these diverse perspectives, with the particular goal of developing bridges between them. The workshop will include overview talks on the various perspectives, research talks, an open problem session, and structured time for collaboration.

We are pleased to announce the workshop "Geometry over Semirings 2025" on July 7-11 at the Universitat Autònoma de Barcelona.

In this workshop, experts and young researchers will come together to share recent progress and collaborate on open questions related to tropical geometry, geometry over the field of one element, blueprints, and related questions.

There will be talks by

• Ana Maria Botero
• Geffrey Giansiracusa
• Oliver Lorscheid
• Martin Ulirsch
• Xavier Xarles

and young participants.

You can get more information and register for the workshop here: https://mat.uab.cat/~masdeu/geometry-over-semirings/. There is a limited amount of funding for accommodation for early career participants; you can request funding when registering.

The organizers: Joaquim Roé, Marc Masdeu

QTMART is a workshop on algebra and representation theory taken in a broad sense, run by and for queer and trans mathematicians. It aims to showcase the research done in this field by this community and bring together senior researchers, junior researchers, and graduate students to discuss topics of common interest in a non-competitive environment.

Alongside the workshop, an exploratory program on queer mathematics and inclusion will take place. The activities of the program will focus on exploring what it means to do mathematics as a queer or trans mathematician, and if there is such a thing as queer mathematics. It will also address the question of how to make the working culture and environment more welcoming and diverse, and will aim to initiate concrete actions in this regard.

This workshop welcomes talks by early-career researchers. Please indicate on the application form if you would like to give a talk and on what topic.

The event is open to everyone accepting the community agreement (which will be based upon Oberwolfach's Statement of Respect and Collegiality https://www.mfo.de/about-the-institute/guiding-principles/equality-diversity-inclusion/statement-for-respect-and-collegiality, taking suggestions from the participants into account). However, priority in assigning talks will be given to self-identifying queer and trans mathematicians, and some activities in the program will be reserved for this group.

Plenary Speakers:

• Chris Bowman (University of York)
• Ian Musson (University of Wisconsin-Milwaukee)
• J. Daisie Rock (FWO, KU Leuven, UGent)
• Beth Romano (King's College London)
• Dani Tubbenhauer (University of Sydney)

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.

We are hosting two events, each one a week long:

• A summer school on Galois Representations, Relative Langlands Duality, Beyond Endoscopy, and Relative Trace Formulae. 4-9 August 2025.
• A number theory conference. 11-15 August 2025.

The René 25 conference's purpose is to celebrate the research interests of René Schoof.

During the 2025-26 academic year the School will have a special program on Arithmetic Geometry, Hodge Theory, and O-minimality. Jacob Tsimerman, University of Toronto will be the Distinguished Visiting Professor.

The purpose of this special year will focus on recent developments in hodge theory and o-minimality and their applications to arithmetic geometry. There has been much progress over the last 15 years in using transcendental uniformization maps to study arithmetic questions (general shafarevich theorems, results on unlikely intersections, general bounds on rational point counts). It has become increasingly clear that hodge theory (both classical and P-adic) and the resulting period maps form a natural home for these kinds of investigations to arise. In the other direction, O-minimality has been applied with success to make progress on questions in Hodge theory (Griffiths conjecture, definable period maps), and has recently had its own explosion of results (sharply O-minimal sets, the resolution of Wilkie's conjecture).

The goal of this year will be to bring together researchers in these different fields, with the aim of extending the collaboration between areas, share key insights, and investigate how far existing methods can be pushed.

Senior participants: Gal Binaymini, Ben Bakker (to be confirmed), Jonathan Pila and Claire Voisin (STV)

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.

For more information, please consult the conference web page:

Thematic Month on the Langlands program

The Algorithmic Number Theory Symposium (ANTS) is the premier international forum for the presentation of new research in computational number theory and its applications, devoted to algorithmic aspects of number theory and related fields, including elementary number theory, algebraic number theory, analytic number theory, the geometry of numbers, arithmetic geometry, finite fields, cryptography, and coding theory.

See conference website

On the occasion of 40+ years after the seminar paper of Gross--Zagier, we bring together experts to deliver lectures on a broad range of topics connected with the Gross-Zagier formula, its generalizations, related future directions, and other works that it has inspired.