Title: Duality for Toric Landau-Ginzburg Models

Time: Friday December 2, 2011, 15:15-17:15 pm

Speaker: Jiang Qingyuan (Peking University)

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Abstract: We will study the paper of Patrick Clarke, in which he introduces a new method of constructing the mirror of a complete intersection in a toric variety, by using a duality construction for toric Landau-Ginzburg models, via the sigma/Landau-Ginzburg model correspondence. All the other known constructions of Batyrev-Borisov, Berglund-Hubsch, Givental and Hori-Vafa turned out to be special cases of this construction, and it can be done in more general situations and provides partial resotuions when the above constructions give a singular mirror. We will also study an example of elliptic curves in (P^1)^2.