3–7 Jul 2023
Institute for Basic Science, Daejeon
Asia/Seoul timezone

Finiteness of flux vacua and the tadpole conjecture

6 Jul 2023, 17:15
15m
Institute for Basic Science, Daejeon

Institute for Basic Science, Daejeon

Science and Culture Center, Institute for Basic Science Daejeon, Korea

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.

Presentation materials