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.

CAIM series provide a forum for the review of the recent trends in applied and industrial mathematics either from a qualitative or from a numerical point of view. Computer science communications are welcome. Since theoretical studies find sooner or later their applicability, the conference has also sections for the theoretical branches of mathematics like algebra, probability theory, mathematical statistics or geometry. A special section of the conference is dedicated to the mathematical teaching.

The conference Moduli and Friends II will take place at the Simion Stoilow Institute of Mathematics of the Romanian Academy (IMAR), Bucharest, during the week 24-28 August 2026.

This conference is focused on topics related to moduli spaces, including configuration spaces, hyperplane arrangements, homological representations and geometric aspects of quantum invariants. The goal is to bring together researchers from different domains under the general umbrella of "moduli spaces" and to encourage the discovery of new connections between these areas. It is a successor to the conference "Moduli and Friends", which took place in September 2023. For more details, see the conference website: https://sites.google.com/view/moduliandfriends2

Registration is open until 10 August 2026 or until the maximal number of participants is reached. We have (limited) funding to cover accommodation costs. If you would like to request funding for accommodation, please register by the earlier deadline of 15 June 2026.

The invited speakers are:

• Takuro Abe (Rikkyo University)
• Enrique Artal Bartolo (Universidad de Zaragoza)
• Karin Baur (Ruhr-Universität Bochum)
• Valentina Beorchia (Università di Trieste)
• José Ignacio Cogolludo Agustín (Universidad de Zaragoza)
• Adrian Diaconu (University of Minnesota)
• Olivia Dumitrescu (University of North Carolina at Chapel Hill)
• Louis Funar (Université Grenoble Alpes)
• Pierre Godfard (University of North Carolina at Chapel Hill)
• Rinat Kashaev (Université de Genève)
• Aaron Landesman (Harvard University)
• Ishan Levy (Institute for Advanced Study)
• Erik Lindell (University of Copenhagen)
• Gwénaël Massuyeau (Université Bourgogne Europe)
• Catherine Meusburger (Universität Erlangen-Nürnberg)
• Rosa Maria Miró-Roig (Universitat de Barcelona)
• Motohico Mulase (University of California, Davis)
• Jun Murakami (Waseda University)
• Sam Nariman (Purdue University)
• Ralf Schiffler (University of Connecticut)
• Andreas Stavrou (University of Chicago)
• Ulrike Tillmann (University of Oxford / Isaac Newton Institute, Cambridge)
• Christine Vespa (Aix-Marseille Université)

Organisers:

• Cristina Anghel (Université Clermont Auvergne, France / IMAR, Romania)
• Anca Măcinic (IMAR, Romania)
• Martin Palmer (IMAR, Romania)
• Arthur Soulié (CNRS - Université Caen Normandie, France)

This summer school aims to train a new generation of young researchers in subjects at the interface of complex differential geometry, geometric analysis, and algebraic and arithmetic geometry.

Mini-course speakers:

• Dan Abramovich, Brown University
• Benoît Claudon (to be confirmed), Université de Rennes
• Hélène Esnault, Freie Universität Berlin
• Philippe Eyssidieux, Université Grenoble-Alpes
• Robert Lazarsfeld, Stony Brook University

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 conference sections: Algebra and Number Theory; Differential and Integral Equations, and Their Applications; Geometry and Topology; Logic, Language, Artificial Intelligence; Mathematical Education and History of Mathematics; Mathematical Logic and Discrete Mathematics; Mathematical Modeling and Numerical Analysis; Theoretical Physics; Probability Theory and Statistics, Financial Mathematics; Real and Complex Analysis.

The aim of the summer school is to bring together early career researchers working in motives (in a broad sense) and neighbouring areas (including but not limited to algebraic geometry and number theory), who want to learn more about the subject and its applications.

The event will consist of four mini-courses. There will be an introductory course:

• Introduction to motives (Alexander Vishik);

and three topic-focused courses on the following themes:

• Motives in algebraic geometry and moduli theory (Victoria Hoskins);
• Applications of motives to number theory and periods (Francis Brown);
• Introduction to (motivic) tensor-triangular geometry (Martin Gallauer).

We will also feature a handful of contributed research talks from participants.

We kindly thank our sponsors for supporting this event:

• Heilbronn Institute for Mathematical Research;
• UKRI/EPSRC Additional Funding Programme for Mathematical Sciences;
• Foundation Compositio Mathematica;
• K-Theory Foundation.

Please share this opportunity with potentially interested students and postdocs.

The application deadline for the Heidelberg Laureate Forum (HLF) 2026 is Feb 11, 2026. See https://www.heidelberg-laureate-forum.org/ for details.

The HLF offers a rare opportunity for students, PhD candidates, and postdocs in mathematics and computer science to spend a week interacting with Abel Prize, Fields Medal, Turing Prize, ACM Prize in Computing, IMU Abacus Medal and Nevanlinna Prize laureates, as well as with other outstanding international early-career mathematicians and computer scientists from around the world, and a variety of distinguished guests. The program includes lectures, workshops, panel discussions, networking events, and more. All local expenses (hotel and meals) are covered and an option to apply for travel funding exists if needed.

Participating in an HLF is a wonderful opportunity in many ways.

Spatial structures appear throughout mathematics, connecting topology, combinatorics, and geometry in surprising and beautiful ways, capturing how objects sit and interact within the spaces around them.

This workshop aims to bring together researchers from a range of backgrounds to strengthen the community and to discuss developments in the theory of spatial structures, with a particular focus on topological graph theory, spatial graphs, braids, and periodic tillings.

It is a pleasure to invite you to Advances in Modern Topology 2026, a conference dedicated to fostering cooperation and collaboration among researchers in Algebraic Topology, Algebraic Geometry, and their interdisciplinary applications.

This year’s edition will be held for the first time in the beautiful city of Podgorica, hosted at the prestigious Main Building of the Montenegrin Academy of Sciences and Arts.

Conference Details:

Location: Podgorica, Montenegro

Venue: Montenegrin Academy of Sciences and Arts

Website: https://tinyurl.com/MoTop2026

Invited Speakers include: Anthony Bahri, Djordje Baralić, Ulrich Bauer, Victor Buchstaber, Vladimir Dragović, Alexandar Gaifullin, Jelena Grbić, Shintaro Kuroki, Mikiya Masuda, Taras Panov, Petar Pavešić, Stephen Theriault, and Rade Živaljević. ( * to be confirmed )

Key Deadlines:

Registration Deadline: Friday, August 01, 2026

Abstract Submission Deadline: Friday, August 31, 2026

How to Register: Please complete your registration and abstract submission via the following form: https://forms.gle/Fk1rVbHeUYNRgwCN9

We look forward to welcoming you to Podgorica for what promises to be a stimulating scientific gathering. Should you have any questions, please feel free to contact the organizing committee at [email protected].

For further information, please visit the website

This workshop is sponsored by AIM, NSF, and the Simons Foundation. This activity, which is a part of the New Structures in Low-dimensional topology collaboration, will be devoted to developing an approach to q-series invariants of 3-manifolds and knots via 2-representation theory. Verma modules play a key role in the construction of an analogue for a generic parameter q of the Reshetikhin-Turaev invariants. The workshop will consider the categorification of Verma modules constructed by Naisse-Vaz, their duals and tensor products, as well as braidings and traces. The goal is to apply these constructions to 3-dimensional topology and relate them to known invariants.

Main topics for the workshop are:

• determination of tensor products of 2-Verma modules, braidings and traces
• relation with the Dupont-Naisse construction
• extension to the case of tensor products of 2-Verma modules and their duals
• construction of homological invariants of particular knots and 3-manifolds

This is the sixth workshop on Computational Persistence (ComPer 2026). Invited Speakers: Erin Chambers, Chao Chen, Dmitriy Morozov, Don Sheehy, and Bei Wang. We invite submissions for contributed talks and poster presentations on all aspects of computational topology and topological data analysis. Submission Deadline: August 7, 2026. Notifications: September 4, 2026.