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1
AIM Workshop: Homological Mirror Symmetry and Multigraded Commutative Algebra
18 Aug 2025 - 22 Aug 2025 • Pasadena, California, United States
Organizer:
American Institute of Mathematics, Pasadena, California (AIM)
Abstract:
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.
Event listing ID:
1655563
Related subject(s):
2
The Geometric Realization of AATRN (Applied Algebraic Topology Research Network)
18 Aug 2025 - 22 Aug 2025 • Chicago, IL, United States
Organizer:
The Institute for Mathematical and Statistical Innovation (IMSI)
Abstract:
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!
Event listing ID:
1655583
3
Computational problems about 3-manifolds, associated groups and varieties
04 Oct 2025 - 05 Oct 2025 • Rutgers University, Newark, United States
Organizer:
Rutgers University, Newark
Abstract:
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.
Event listing ID:
1649345
4
AIM Workshop: Dynamics of multiple maps
03 Nov 2025 - 07 Nov 2025 • Pasadena, California, United States
Organizer:
American Institute of Mathematics, Pasadena, California (AIM)
Abstract:
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.
Event listing ID:
1655425
Related subject(s):
5
AIM workshop: Non-Archimedean methods in complex geometry
10 Nov 2025 - 14 Nov 2025 • Pasadena, California, United States
Organizer:
American Institute of Mathematics, Pasadena, California (AIM)
Abstract:
This workshop, sponsored by AIM and the NSF, will be devoted to non-Archimedean methods in complex geometry.
Event listing ID:
1655415
6
Gross-Zagier formula 40+ years later
03 Aug 2026 - 07 Aug 2026 • Massachusetts Institute of Technology, Cambridge MA, United States
Abstract:
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.
Event listing ID:
1649440
Related subject(s):
Event website:
7
Semester Program — Computations on K3 Surfaces and Related Varieties
09 Sep 2026 - 11 Dec 2026 • ICERM, Providence, RI, United States
Abstract:
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.
Event listing ID:
1649518


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Last updated: 16 February 2025