qsms.math.snu.ac.kr - [QSMS 기하/위상 세미나 2021.09.06] The mirror P=W conjecture from homological mirror symmetry of Fano manifolds

Extra Form
일정시작	2021-09-06
일정종료	2021-09-06
배경색상	#7164D0

일정시작

2021-09-06

일정종료

2021-09-06

배경색상

#7164D0

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.

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