Previous Conferences & Workshops

The study of the Gaussian limit of linear statistics of eigenvalues of random matrices and related processes, like determinantal processes, has been an important theme in random matrix theory. I will review some results starting with the strong...

What is the volume of the set of singular symmetric matrices of norm one? What is the probability that a random plane misses this set? What is the expected "topology" of the intersection of random quadric hypersurfaces? In this talk I will combine...

Birkhoff sections have been invented... by Poincaré in his work on celestial mechanics. Birkhoff made an extensive use of this concept in dynamical systems. Sometimes, one can find surfaces transverse to the trajectories of a vector field in a 3...

In 1772 Euler characterized the surfaces that can be covered with paper, allowing bending but not tretching, cutting or wrinkling. For cloth in place of paper, it would be a different question, as cloth is more flexible, and that was answered by...

We will review some interactions between random matrix theory and distributions of zeroes of \(L\)-functions in families (the Katz-Sarnak philosophy) before presenting some recent results (joint with Dorian Goldfeld) in the higher rank setting. We...

The classical problem of enumerating rational curves in projective spaces is solved using a recursion formula for Gromov-Witten invariants. In this talk, I will describe a similar relation for real Gromov-Witten invariants with conjugate pairs of...

Let \(E/F\) be a quadratic extension of \(p\)-adic fields. Let \(V_n\subset V_{n+1}\) be hermitian spaces of dimension \(n\) and \(n+1\) respectively. For \(\sigma\) and \(\pi\) smooth irreducible representations of \(U(V_n)\) and \(U(V_{n+1})\) set...