Date: 9월 6일 (Mon) 14:00 ~ 16:00

Place: Zoom & 129-406 (SNU)

Speaker: 이석주(U. Penn)

Title: The mirror P=W conjecture from homological mirror symmetry of Fano manifolds.

Abstract:

The P=W conjecture, originated from non-abelian Hodge theory, has been recently formulated by A.Harder, L.Katzarkov and V.Przyjalkowski in the context of mirror symmetry of log Calabi-Yau manifolds. In particular, if the log Calabi-Yau manifold admits a Fano compactification (X,D) with smooth anti-canonical divisor D, one can study P=W phenomena from a categorical viewpoint under the Fano/Landau-Ginzburg correspondence. In this talk, we will go over this story and generalize to the case where D has more than one component.