Speaker
Jeroen Monnee
Description
Recently, the finiteness of self-dual flux vacua in F-theory has been established using the framework of tame geometry. In this talk, we present an alternative proof using the methods of asymptotic Hodge theory to provide a complementary and more hands-on perspective. This requires a detailed understanding of the nilpotent orbit expansion of the period map for an arbitrary number of complex structure moduli. We provide a concrete algorithm that allows one to compute such expansions in great generality based on the seminal work of Cattani, Kaplan and Schmid. These techniques may also give new insights into the tadpole conjecture.