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

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

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.

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.

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.

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)

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.

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.

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.

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

This workshop, sponsored by AIM and the NSF, will be devoted to recent advances in computing the stable homotopy groups of spheres. The last 10 years have seen significant progress in this area, driven first by applications of motivic homotopy theory and then more recently by the invention of synthetic/filtered spectra, which generalizes motivic techniques. Last year, Weinan Lin, Guozhen Wang, and Zhouli Xu significantly extended the known range of stable homotopy groups and used these computations to resolve the remaining case of the Kervaire Invariant One problem, which has remained open for about 60 years. This workshop will focus on the advances that made these computations possible, especially those involving machine computations and synthetic techniques, and look for applications of these new techniques, for example to the equivariant slice spectral sequence.

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.