Previous Conferences & Workshops

In this talk I will discuss a joint work with Lupercio, Nevins and Uribe, in which we use motivic integration to give a theory of Chern classes for singular algebraic varieties that is birationally well-behaved (i.e., with a "stringy" flavor). The...

I will discuss the following two results. I will assume no prior knowledge of quantum information or the PCP theorem. 1) The membership of $x$ in $SAT$ (for $x$ of length $n$) can be proved by a logarithmic-size quantum state $\Psi$, together with a...

The van der Waerden conjecture states that the permanent of N by N doubly stochastic matrix A satisfies the inequality Per(A) >= n! / n^n (VDW bound) and was finally proven (independently) by D.I. Falikman and G.P. Egorychev in 1981. It was for more...

I will explain a conjectural generalisation of Ihara's lemma in the theory of modular forms to higher dimensional automorphic forms and sketch how this conjecture implies the Sato-Tate conjecture for rational elliptic curves with somewhere...

In this talk, I will explain a new result on the distribution of rational points of bounded height on "wonderful" compactifications of semi-simple groups of adjoint type. A special case of the result is the conjecture of Manin on the distribution of...