Dear all,

**Talk Announcement:**

**Title:**An elliptic $A_n$ Selberg integral

**Speaker:**Seamus Albion (Vienna, Austria)

**When:**Thursday, Thursday Oct 26, 2023 - 4:00 PM (IST) (12:30 PM CEST)

**Where**: Zoom: Write to the organisers to get the link

**Abstract.**

all over mathematics: in random matrix theory, analytic number theory, multivariate orthogonal polynomials and conformal field theory. The goal of my talk will be to explain a recent unification of two important generalisations of the Selberg integral, namely the Selberg integral associated with the root system of type A_n due to Warnaar and the elliptic Selberg integral conjectured by van Diejen and Spiridonov and proved by Rains. The key tool in our approach is the ellipticinterpolation kernel, also due to Rains. This is based on joint work with Eric Rains and Ole Warnaar.