Calabi-Yau Manifolds, Modularity and Arithmetic Geometry

Date: 2022-07-27

Time: 16:00 - 17:00


Albrecht Klemm


Using Mirror symmetry and Dworks p-adic deformation of the
Gauss Manin connections we construct  the Hasse Weil Zeta function of $zeta(X/mathbb{Q},s)$ for families of  Calabi-Yau
threefolds $X$ and explore the consequences of its modularity in
special fibres at algebraic extension of $mathbb{Q}$ on the physics  of string compactifications on $X$  as well as on enumerative  geometry on $X$.