School of Mathematics

Events

Structure and Symmetry Theme Day

September 27th 10:00 - 17:00

Location: Bayes Centre 5.10

Description: Afternoon Schedule:

@14:30

Speaker: Nick Sheridan (University of Edinburgh)

Title: The Gamma and SYZ conjectures: a tropical approach to periods.

Abstract:

I'll start by explaining a new method of computing asymptotics of period integrals using tropical geometry, via some concrete examples. Then I'll use this method to give a geometric explanation for a strange phenomenon in mirror symmetry, called the Gamma Conjecture, which says that mirror symmetry does not respect integral cycles: rather, the integral cycles on a complex manifold correspond to integral cycles on the mirror multiplied by a certain transcendental characteristic class called the Gamma class. We find that the appearance of zeta(k) in the asymptotics of period integrals arises from the codimension-k singular locus of the SYZ fibration.

*

@16:00

Speaker: Roberto Volpato (University of Padova)

Title: Strings on K3: the maths and the physics.

Abstract:

I will give an overview of recent (and less recent) ideas that have been developed in the study of string theory on K3 manifolds, including topics in conformal field theory, moonshine, black hole physics, automorphic forms, hyperkahler geometry.

*