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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.

Belongs to: Stockholm Mathematics Centre
Last changed: Jan 16, 2019