P=W phenomena in Fano mirror symmetry

Abstract: $P=W$ phenomena, 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 Fano compactification $(X,D)$ with smooth anti-canonical divisor $D$, we can study $P=W$ phenomena from categorical viewpoint under the Fano/LG correspondence. In this talk, we will go over the story and generalize to the case where $D$ has more than one component.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.