An SYZ mirror construction for hypersurfaces in toric varieties -

An SYZ mirror construction for hypersurfaces in toric varieties

Time: 2009-05-20 Published By:

Speaker(s): Prof. Mohammed Abouzaid (MIT, USA)

Time: 00:00-00:00 May 20, 2009

Venue: Room 1328 of Resource Plaza, Peking University

Time: 14:00--16:00pm,Wednesday, 5/20, 2009

I will explain how, starting with a hypersurface embedded in a toric variety, one may construct a Landay Ginzburg whose derived category of singularities contains, conjecturally, the Fukaya category of the hypersurface. We will use a blow up construction, and a corrected version of SYZ duality in order to obtain this mirror. This is joint work with D. Auroux and L. Katzarkov.