BPS-invariants from non-archimedean integrals
ALGEBRAIC GEOMETRY & NUMBER THEORY SEMINAR
Date:
Thursday, May 12, 2022 13:00 - 15:00
Speaker:
Dimitri Wyss (EPFL, Switzerland)
Location:
Heinzel Seminar Room (I21.EG.101), Office Building West
Series:
Mathematics and CS Seminar
Host:
Tamas Hausel
Contact:
Birgit Oosthuizen-Noczil
BPS-invariant appear, when one tries to count sheaves on a Calabi-Yau 3-fold in the presence of strictly semi-stable objects as a sort of reduced theory. In is joint work with Francesca Carocci and Giulio Orecchia we consider the special case when the CY3 fold is a (nice) local curve or surface. We conjecturally give a new definition of (refined) BPS-invariants in this case using non-archimedean integration. To support our conjecture, we prove an invariance property of our integrals, which has recently been established for BPS-invariants by Maulik-Shen.