Previous Conferences & Workshops

In a recent article, Waldspurger proved that the fundamental lemma for Lie algebras doesn't depend on the characteristic of the base field (among other things...). In this talk, I would like to explain some ideas of the proof of that result.

We will finish the sketch of the proof of existence of a geometrically meaningful compactification of the moduli space of canonically polarized smooth varieties.

All known efficient algorithms for computing the determinant of a matrix rely on commutativity of the matrix entries. How important is this property, and could we make use of an algorithm that computes determinants without assuming commutativity? In...

Characteristic classes of Flat bundles on smooth algebraic varieties are defined in various cohomology theories. We consider the de Rham cohomology, the Deligne cohomology and the rational Chow groups and study the classes. We focus on the special...

Let $G$ be a graph which contains no subgraphs isomorphic to fixed bipartite graph $H$. Using well known results from Extremal Graph theory, one can show that such $G$ has certain expansion properties, i.e., all small subsets of $G$ have large...

I will report on a the following work in progress. Let X be a smooth connected curve over an algebraically closed field. Consider the dual pair H=SO_{2m}, G=Sp_{2n} over X with H split. Let Bun_G and Bun_H be the stacks of G-torsors and H-torsors on...

In combinatorial allocation, m items are to be assigned to n players so that their total utility is maximized. This problem has many variants depending on the utility functions involved and possible additional constraints. We consider two variants...