Past Events

Homology and cohomology are powerful invariants: while easy to compute, they contain rich information about spaces, the geometry of manifolds, vector bundles, and more. (Co)homology satisfies a list of axioms which are easy to generalize. The best...

In this talk we study interacting fermions on a discrete finite lattice subject to a homogeneous magnetic field at positive temperature. One prime example of such systems is the Hofstadter-Hubbard model. We show that the magnetization is equal to the...

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...

Abstract Artificial intelligence and machine learning are transforming numerous fields—including engineering, business, science, and healthcare—by enabling more accurate, data-driven decision-making. These techniques help us gain deeper insights from...

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...