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1
Summer School — Geometry and Dynamics in Higher Rank Lie Groups
14. Jul 2025 - 25. Jul 2025 • UC Berkeley, Vereinigte Staaten
Zusammenfassung:
Lie groups are central objects in modern mathematics; they arise as the automorphism groups of many homogeneous spaces, such as flag manifolds and Riemannian symmetric spaces. Often, one can construct manifolds locally modelled on these homogeneous spaces by taking quotients of their subsets by discrete subgroups of their automorphism groups. Studying such discrete subgroups of Lie groups is an active and growing area of mathematical research. The objective of this summer school is to introduce young researchers to a class of discrete subgroups of Lie groups, called Anosov subgroups. These subgroups are central objects in the study of higher Teichmuller theory, convex projective geometry, and character varieties. In this summer school, there will be an emphasis on discussing some of the dynamical tools that have recently been successfully used to study Anosov subgroups. The required background in dynamics, hyperbolic geometry, and Lie theory will also be discussed. Aside from providing a stimulating academic environment for learning about Anosov subgroups, this summer school also aims to be a relaxed and friendly space for participants to interact with fellow aspiring mathematicians.
Eintrags-ID:
1653997
2
2025 Summer Research Institute in Algebraic Geometry
14. Jul 2025 - 01. Aug 2025 • Colorado State University, Fort Collins, CO, Vereinigte Staaten
Veranstalter:
Organised in partnership with the Clay Mathematics Institute
Eintrags-ID:
1649622
3
Summer School — Topological and Geometric Structures in Low Dimensions
21. Jul 2025 - 01. Aug 2025 • Berkeley, Kalifornien, Vereinigte Staaten
Veranstalter:
Simons Laufer Mathematical Sciences Institute (SLMath)
Zusammenfassung:
This school will serve as an introduction to the SLMath semester “Topological and Geometric Structures in Low-Dimensions”. The school consists of two mini-courses: one on Teichmüller Theory and Hyperbolic 3-Manifolds and the other on Anosov Flows on Geometric 3-Manifolds. Both topics lie at the interface of low-dimensional geometric topology (specifically, surfaces, foliations, and 3-manifolds) and low-dimensional dynamics. The first course will be targeted towards students who have completed the standard first year graduate courses in geometry, topology, and analysis while the second course will geared towards more advanced students who are closer to beginning research. However, we expect that all students will benefit from both courses.
Eintrags-ID:
1653943
4
AIM workshop: Interactions between discrete and large topological groups
04. Aug 2025 - 08. Aug 2025 • Pasadena, California, Vereinigte Staaten
Veranstalter:
American Institute of Mathematics, Pasadena, California (AIM)
Eintrags-ID:
1655645
Verwandte Fachgebiete:
5
AIM Workshop: Homological Mirror Symmetry and Multigraded Commutative Algebra
18. Aug 2025 - 22. Aug 2025 • Pasadena, California, Vereinigte Staaten
Veranstalter:
American Institute of Mathematics, Pasadena, California (AIM)
Zusammenfassung:
This workshop, sponsored by AIM and the NSF, will be devoted to studying a nascent bridge between commutative algebra and symplectic geometry, with an emphasis on developing Macaulay2 software for homological computations at the interface of these two fields. Recent breakthrough work of Hanlon-Hicks-Lazarev and Favero-Huang employs symplectic techniques to build line bundle resolutions over toric varieties, resolving several conjectures in toric geometry and multigraded commutative algebra. These results have illuminated a striking new connection between commutative algebra and symplectic geometry: this workshop will bring together experts in these fields with the goal of increasing our computational power to study the interplay between them.
Eintrags-ID:
1655596
Verwandte Fachgebiete:
6
The Geometric Realization of AATRN (Applied Algebraic Topology Research Network)
18. Aug 2025 - 22. Aug 2025 • Chicago, IL, Vereinigte Staaten
Veranstalter:
The Institute for Mathematical and Statistical Innovation (IMSI)
Zusammenfassung:
This week-long conference is in celebration of the 10-year anniversary of AATRN, the Applied Algebraic Topology Research Network. It will be the first time that AATRN meets in person, bringing together researchers from different backgrounds—mathematics, statistics, computer science, physics, biology, etc. In other words, AATRN will be “geometrically realized” at the Institute for Mathematical and Statistical Innovation in Chicago, USA!
Eintrags-ID:
1655616
Verwandte Fachgebiete:
7
Computational problems about 3-manifolds, associated groups and varieties
04. Okt 2025 - 05. Okt 2025 • Rutgers University, Newark, Vereinigte Staaten
Veranstalter:
Rutgers University, Newark
Zusammenfassung:
The focus of the workshop is the interactions of 3-manifold topology and geometry, and the study of 3-manifold groups and character and representation varieties with computational topology and theoretical computer science. We also welcome related topics! There will be several introductory lectures and longer research talks, and some short (lightning) talks. There also will be ample time for discussions and informal interactions.
Eintrags-ID:
1649378
8
AIM Workshop: Dynamics of multiple maps
03. Nov 2025 - 07. Nov 2025 • Pasadena, California, Vereinigte Staaten
Veranstalter:
American Institute of Mathematics, Pasadena, California (AIM)
Zusammenfassung:
This workshop, sponsored by AIM and the NSF, will be devoted to studying arithmetic dynamics of multiple maps. In classical arithmetic dynamics, we consider the iteration of a single endomorphism of a variety defined over a field of arithmetic interest — typically a number field or the function field of a curve. An exciting new direction in arithmetic dynamics that holds particular promise for striking new results is what we call "dynamics of multiple maps": dynamical behavior arising from the interaction of two or more endomorphisms on the same space. This includes iteratively applying rational functions on P1 chosen at random from a family according to some probability distribution; a correspondence from a variety X to itself; and forming words from a non-commuting family of involutions on a K3-surface.
Eintrags-ID:
1655436
Verwandte Fachgebiete:
9
AIM workshop: Non-Archimedean methods in complex geometry
10. Nov 2025 - 14. Nov 2025 • Pasadena, California, Vereinigte Staaten
Veranstalter:
American Institute of Mathematics, Pasadena, California (AIM)
Zusammenfassung:
This workshop, sponsored by AIM and the NSF, will be devoted to non-Archimedean methods in complex geometry.
Eintrags-ID:
1655393
10
Gross-Zagier formula 40+ years later
03. Aug 2026 - 07. Aug 2026 • Massachusetts Institute of Technology, Cambridge MA, Vereinigte Staaten
Zusammenfassung:
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.
Eintrags-ID:
1649440
Verwandte Fachgebiete:
11
Semester Program — Computations on K3 Surfaces and Related Varieties
09. Sep 2026 - 11. Dez 2026 • ICERM, Providence, RI, Vereinigte Staaten
Zusammenfassung:
The program will unite researchers from a number of areas: algebraic and complex geometry, arithmetic geometry, Hodge theory, and mathematical physics. It will bring theoretically and computationally oriented researchers together, expecting that computations will illuminate conjectures made by the theorists and that theory will enlarge the range of what can be computed. We intend to develop databases of certain types of K3 surfaces for the L-Functions and Modular Forms Database and promote the development of software for computations on K3 surfaces in Magma, SageMath, or other systems for public release.
Eintrags-ID:
1649441


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Stand vom 16. Februar 2025