# Michele Ancona: Random sections of line bundles over a real Riemann surface

**Time: **
Mon 2019-01-21 13.15 - 14.15

**Location: **
Room 34, House 5, Kräftriket, Department of Mathematics, Stockholm University

**Participating: **
Michele Ancona (Lyon)

Abstract: The number of real roots of a degree d real polynomial depends on the choice of the coefficients. This raises a natural question.

How many real roots does a degree d real polynomial have, if we pick it at random?

The goal of the talk is to answer this question. More generally, given an ample line bundle L over a real projective curve, we will study the number of real zeros of a random section of L.