Past Events

Lagrangian submanifolds are a central object of study in symplectic topology. Their rigidity properties have been uncovered via Floer theory since the early ’90’s. The talk will briefly review the subject, in particular how triangulated category...

Let Mat n × n ( C ) be the affine space of n × n complex matrices with coordinate ring C [ x n × n ] . We define graded quotients of C [ x n × n ] where each quotient ring carries a group action. These quotient rings are obtained by applying the...

Recently, Sherry et al. (2024) reconsidered the pioneering work of Dahlquist and Jeltsch (1979) on circle-contractivity for the study of neural networks. This theory can be used to analyse and improve the robustness of architectures that are devised...

For many optimization problems, we lack time-efficient algorithms; in many cases this is true even for "average-case" inputs from simple data models. To what extent can tools for complexity theory be adapted to this average-case setting? In this talk...

As in previous years, we will be running three preparation sessions to help you keep your math skills sharp and get you ready for the competition. The first preparation session will take place on Saturday, December 14th from 10am-12pm in Earth...

TBA

The classical McKay correspondence shows that there is a bijection between irreducible representations of finite subgroups GG of S L ( 2 , C )SL(2,C) and the exceptional divisors of the minimal resolution of the singularity C 2 / GC2/G. This is a...

A classical theorem of Birch and Merriman states that, for fixed n the set of integral binary n -ic forms with fixed nonzero discriminant breaks into finitely many G L 2 ( Z ) -orbits. In this talk, I’ll present several extensions of this finiteness...

Denoising Diffusion models have revolutionized generative modeling. Conceptually, these methods define a transport mechanism from a noise distribution to a data distribution. Recent advancements have extended this framework to define transport maps...

Schubert polynomials concretely embody the remarkable connection between the geometry of the flag variety G L ( n ) / B and the combinatorics of the symmetric group. This talk will develop similar story for the forest polynomials recently introduced...