Geometry Seminar

University of Tor Vergata, Department of Mathematics

30th of May 2023, 14:30-15:30, room “Dal Passo”

Speaker

Jacopo Stoppa

(SISSA, Trieste)

Title

K-stability and mirror maps

Abstract

In the theory of mirror symmetry, the mirror of a Fano

manifold X endowed with a maximally degenerate anticanonical divisor D

and Kähler class [\omega] is constructed as a special type of affine

fibration W: Y \to \C, called a Landau-Ginzburg model. In this talk I

will show some constraints on the Landau-Ginzburg model (Y, W) which

must be satisfied if the polarised mirror Fano (X, D, [\omega]) is

K-(semi)stable. I will recall all the necessary notions.