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Back to Algebraic Geometry Seminar: Spring 2017

Algebraic Geometry Seminar


Date: Tuesday, Apr 11, 2017

Time: 3:30PM - 4:30PM

Location: LCB 219


Tyler Kelly

University of Cambridge

Title

A Toric Orlov Theorem via Landau-Ginzburg Models

Abstract

Orlov’s theorem defines and proves that any smooth Fano (resp. general type) hypersurface in projective n-space has a subcategory (resp. supercategory) in its bounded derived category of coherent sheaves that is a Fractional Calabi-Yau category. We prove this is the case for a certain class of toric complete intersections. The method to find this is by studying a Landau-Ginzburg model associated to the toric complete intersection and then using geometric invariant theory. We will try to focus on studying a few motivating examples from previous literature. This work is joint with David Favero (Alberta).

Algebraic Geometry

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