Previous Conferences & Workshops

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...

In 1991, Witten proposed a famous conjecture (solved by Kontsevich) related the intersection theory of Deligne-Mumford moduli space to KDV-integrable hierearchy. To generalize his conjecture, Witten proposed a remarkable PDE based any...

This is continuation of the previous seminar in which the formulation of the renormalisation group is given in more detail: a space of statistical mechanical models is defined. The renormalisation group is a map on this space and there is a basic...

We consider the problem of bounding the absolute value of the correlation between parity and low-degree polynomials modulo q, for odd q >= 3. The boolean function corresponding to the polynomial is 0 on an input iff the polynomial evaluates to 0...

A very long random walk, seen from so far away that individual steps cannot be resolved, is the continuous random path called Brownian motion. This is a rough statement of Donsker's theorem and it is an example of how models in statistical mechanics...