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 year 2024 will mark the 30th anniversary of the resolution of Fermat’s Last Theorem, one of the most celebrated applications of the Langlands program. In the three decades since, many seemingly disparate areas of research within the Langlands program have blossomed, some inspired by the ideas introduced in the proof of Fermat, some with a more geometric flavor, made possible in part by the theory of perfectoid spaces, and some with a more representation-theoretic flavor.

The categorical Langlands program is an emerging conceptual framework that encompasses these disparate areas of research: the $p$-adic Langlands program, the geometrization of the local Langlands correspondence, and the cohomology of Shimura varieties in its many incarnations, just to name a few. This workshop brings together architects of the categorical Langlands program in the number field setting as well as emerging experts. The goals are to take stock of the state of the art in the field, and to chart a course for future developments, and to provide mentorship and support to a diverse group of early-career participants.

Due to limited space, in-person attendance at this meeting is by invitation only. However, we welcome applications for virtual participation in the workshop. If you are interested in virtual attendance, please apply at the following link: https://forms.gle/kPz15Cnj8CGKKkJy9.

With this conference we want to celebrate the 12th anniversary of the collaborative research centre (CRC) „Higher Invariants: interactions between arithmetic geometry and global analysis“. The aim of the conference is to highlight the current trends and future prospects of higher invariants and higher categorical methods as studied in our CRC.

The list of speakers is:

Federico Binda
José Burgos Gil
Dustin Clausen
Hélène Esnault
Hokuto Konno
Manuel Krannich
Akhil Mathew
Thomas Nikolaus
Viktoriya Ozornova
Maxime Ramzi
Charanya Ravi
Tomer Schlank
Peter Scholze
Georg Tamme
Inna Zakharevich

This three-day conference celebrates the 60th birthday and influential career of Igor Kriz, whose groundbreaking contributions have shaped modern perspectives in homotopy theory and its interactions with physics. This special event will gather leading researchers and early-career mathematicians from around the world for a series of stimulating lectures, discussions, and collaborations.

The conference will spotlight cutting-edge developments in equivariant and motivic homotopy theory, as well as their deep connections to mathematical physics and symplectic topology. Invited talks by prominent experts will explore recent advances and open problems at the rich interface of these fields, honoring the wide-ranging impact of Kriz’s work.

We warmly invite you to be part of this celebration of mathematics, community, and visionary research. If you plan to attend, please complete the registration form below. We have some funding available for graduate students and junior researcher participants. If you wish to apply for travel funding, you may do so on the registration form.

This 2-day special session will be dedicated to a range of mathematical problems related to motion planning algorithms and their properties. A central role is played by the notion of topological complexity (TC), which is a homotopy invariant depending only on the configuration space of the robot that can be studied using diverse tools from a variety of fields, such as geometry, topology, algebra, combinatorics, etc. This session on theoretical and applied aspects of TC and related sectional category invariants aims to bring together scientists from all over the world working on different aspects of motion planning and TC and foster collaboration among them, expose graduate students and junior colleagues to these rich and fascinating areas of research, and identify directions for future work and interaction in these areas.

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.

Topological Data Analysis (TDA) is a research area at the intersection of Algebra, Topology, Geometry, Statistics and Machine Learning. While methods from TDA have been applied successfully to data from a variety of domains — from financial mathematics, to materials science, climate science, biomedical imaging, or social science —, there has been less work done on studying in a principled way how such methods can be applied to data that changes dynamically over time. The goal of this workshop is to bring together experts in TDA with experts in application domains in which time-varying data is particularly prevalent. Examples include time series in climate modelling and financial mathematics, as well as dynamic networks in epidemiology and social science modelling.

IEEE VIS Workshop on Topological Data Analysis and Visualization (TopoInVis 2025) Co-located with IEEE VIS 2025 - Vienna, Austria, 2-7 November

Call for Contributions

Topological methods have become an established framework for the extraction and analysis of structural patterns in complex data. It has been successfully applied in a variety of application fields, including quantum chemistry, astrophysics, fluid dynamics, combustion, material sciences, biology, and data science. In particular, the genericity, efficiency, and robustness of topological methods have made them particularly well suited for the multi-scale, interactive analysis and visualization of the underlying structural information of data.

Despite their rising mainstream popularity, topological methods still face a number of challenges, including, for instance, efficient computational methods for large-scale time-varying data, the characterization of noise and uncertainty, or the support of emerging data types, such as ensemble data or high-dimensional point clouds.

The IEEE VIS Workshop on Topological Data Analysis and Visualization aims to be an inclusive forum for the fast dissemination of the latest results in theory, algorithms, and applications of topological methods for the interactive and visual analysis of data. This workshop is open to members of the visualization community interested in topological methods and to experts in topological methods from other communities willing to experiment with interactive and visual applications.

The workshop welcomes submissions of both full-length papers and posters. The accepted papers will be presented during the workshop, and the accepted posters will be presented at the main poster event at VIS and give a lightning talk during the workshop.

Scope

Relevant topics include (but are not limited to): Topological methods for the analysis and visualization of all types of data, including but not limited to: Graph data Scalar, vector, tensor, multi-field data Time-series data High dimensional point cloud data Ensemble data Data with uncertainty Topological methods for data science (dimensionality reduction, clustering, etc.) Topological methods and machine learning Computational methods for topological data analysis and visualization Software systems for topological data analysis and visualization Visual analytic frameworks relying on topological methods Applications of topological data analysis and visualization

Submission

We welcome contributions as regular papers in the IEEE VGTC format (up to 9 pages of content, plus up to 2 pages of references). Paper submissions will be peer-reviewed by an international program committee, including experts in topological methods for scientific data, information visualization, visual analytics, computational geometry, computational topology, and machine learning. Accepted papers will be published in the IEEE Xplore Digital Library.

Poster contributions should adhere to the IEEE VIS Guidelines. While VIS has no specific formatting requirements, posters can be no larger than size A0 (841 x 1189 mm / 33.1 x 46.8 inches) and must be in a portrait orientation. The accepted posters will be presented at the main poster event at VIS.

Important Dates * June 14, 2025: abstract deadline for full papers * June 30, 2025: submission deadline for full papers * July 31, 2025: author notification * August 31, 2025: submission deadline for posters, lightning talks * November 2-7, 2025: IEEE VIS All deadlines are in Anywhere on Earth (AoE) time zone.

Instructions for submission and further details will appear soon on the workshop website: https://topoinvis.org/

Organizing Committee:

Workshop Chairs: Divya Banesh, Los Alamos National Laboratory Federico Iuricich, Clemson University

Paper Chairs: Tobias Günther, Friedrich-Alexander Universität Erlangen-Nürnberg Yue Zhang, Oregon State University

Communications Chair: Lin Yan, Iowa State University Raghavendra Sridharamurthy, International Institute of Information Technology, Hyderabad

Contact: [email protected]

Holomorphic-topological (HT) field theories form a fascinating class of quantum field theories. These theories combine features of topological quantum field theories (TQFT) and conformal field theories (CFT).

Due to the mixed holomorphic-topological nature of such theories, they create interactions between TQFT data (e.g., algbras, monoidal categories, etc) and CFT data (e.g., chiral algebras and chiral categories). This leads to exciting new mathematical structures, and connections to integrable systems, quantum topology and many other areas of mathematics. Recently. much progress has been made on the representation-theoretic aspects of HT theories. Examples include:

1. (Shifted) Poisson vertex algebras and their quantizations are constructed from local operators in HT theories.

2. Dimensional reduction of 4d HT theories lead to integrable systems and solutions of quantum Yang-Baxter equations.

3. 4d N=2 theories are linked to representation theory of K-theoretic Coulomb branches, cluster algebra categorifications, wall crossings and elliptic stable envelops.

4. New examples of chiral algebras and their dualities are derived from boundary conditions and dualities of 3d HT theories.

Moreover, many interesting TQFTs are given by deformations of holomorphic-topological theories. Examples include topological twists of 3d N=4 and 4d N=2 theories. These theories have attracted considerable attention in recent years for their connections to 3d mirror symmetry and the Langlands program. Some of these TQFTs only admit Lagrangian descriptions as HT QFTs, and therefore studying HT theories offers a possible approach for understanding these non-Lagrangian TQFTs.

This conference will focus on the representation-theoretic aspects of HT theories, particularly:

1. Chiral algebras arising from observables of HT QFT.

2. Quantum algebras, including Yangians and quantum affine algebras, and their relation to HT theories.

3. Chiral categories and OPE of line operators in HT theories.

4. Deformation of HT theories and their relation to chiral algebra deformations.

5. Relation between various HT theories under dimensional-reduction.

We aim to bring together leading mathematicians and physicists, to inform each other about the recent progress made in this area.

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Limited funding is available to support travel and lodging of early-career researchers. Due to space constraints, all participants must register and we may not be able to accept all applicants. For fullest consideration for funding and participation, please as soon as possible. For more information, please refer to the In Person Registration option on the Registration page of this website.

The eighteenth Annual Binghamton University Graduate Combinatorics Algebra and Topology Conference (BUGCAT Conference) will meet November 15-16 at SUNY Binghamton. Graduate students at all levels, as well as faculty, are invited to give a 30-minute talk; talks may be expository or on current research. This year, we have three distinguished keynote speakers: Caroline Klivans (Brown University), Kim Ruane (Tufts University) and Matt Zaremsky (University of Albany)

For more information, visit: https://sites.google.com/binghamton.edu/bugcat-website/home

see conference website

The conference honours the work of John F. (Rick) Jardine, a professor at the University of Western Ontario. Over his more than 40 year career, Rick has made foundational contributions to homotopy theory, K-theory, and topological data analysis, in particular shaping the current landscape of homotopical algebra.

Homotopy limits and colimits are a fundamental tool in homotopy theory, with applications to topology, geometry, and algebra. The event is aimed at graduate students, postdocs, and early-career researchers who want to learn more about this topic.

See the website for more details.

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.