Previous Conferences & Workshops

Noetherianity is a fundamental property of modules, rings, and topological spaces that underlies much of commutative algebra and algebraic geometry. This talk concerns algebraic structures such as the infinite-dimensional polynomial ring K[x_1,x_2...

In interactive coding, Alice and Bob wish to compute some function f of their private inputs x and y. They do this by engaging in a non-adaptive (fixed speaking order, fixed length) protocol to jointly compute f(x,y). The goal is to do this in an...

In Hamiltonian Floer theory one needs to regularize infinitely many moduli spaces. It is convenient to formalize the discussion using the language of flow categories and bimodules. In this lecture I will explain how to use the notion of "derived...

The XY and the Villain models are models which exhibit the celebrated Kosterlitz-Thouless phase transitions in two dimensions. The spin wave conjecture, originally proposed by Dyson and by Mermin and Wagner, predicts that at low temperature, spin...

Cohen, Lenstra, and Martinet gave conjectural distributions for the class group of a random number field. Since the class group is the Galois group of the maximum abelian unramified extension, a natural generalization would be to give a conjecture...

Let G be a simply-connected complex semisimple algebraic group and let C be a smooth projective curve of any genus. Then, the moduli space of semistable G-bundles on C admits so called determinant line bundles. E. Verlinde conjectured a remarkable...

Suppose you have an approximate homomorphism from an Abelian group A to Hom(V, W); is it close to a genuine homomorphism ?
This question can be asked with various different notions of “close”. I will describe one that arises in the context of higher...

I will discuss how to use mean curvature flow to give nearly optimal lower bounds on the density of topologically non-trivial minimal hypercones in low dimensions. This compliments work of Ilmanen-White who gave analogous bounds for topologically...

In these two talks, I will discuss the structure of certain varieties that depend functorially on the choice of a finite-dimensional vector space. Examples include the variety of d-way tensors of "slice rank" at most k and the variety of degree-d...