Orateur
Pantev
Description
I will describe a novel formalism for defining and
specifying integral structures on the tt^*-geometries that
parametrize massive vacua in N=2 QFTs. I will focus on non-archimedean
variants of these structures which arise naturally in complex
geometry and mirror symmetry and are known as F-bundles, and on their
basic pieces known as Hodge atoms. I will explain a construction of
the Gamma-corrected integral structure on the A-model non-archimedean
F-bundle and will discuss the special features of the Gamma-conjecture
that are important in this setting. This is a report on a joint work
in progress with Katzarkov, Kontsevich and Yu.