Home /  Fellowship of the Ring, National Seminar: A toric BGG correspondence

Seminar

Fellowship of the Ring, National Seminar: A toric BGG correspondence November 19, 2020 (12:00 PM PST - 02:00 PM PST)
Parent Program: --
Location: SLMath: Online/Virtual
Speaker(s) Michael Brown (Auburn University)
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

A Toric BGG Correspondence
Abstract/Media

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Abstract:

Abstract: This is ongoing joint work with David Eisenbud, Daniel Erman, and Frank-Olaf Schreyer. The Bernstein-Gel'fand-Gel'fand (BGG) correspondence is a derived equivalence between a standard graded polynomial ring and its Koszul dual exterior algebra. One of the many important applications of the BGG correspondence is an algorithm, due to Eisenbud-Fløystad-Schreyer, for computing sheaf cohomology on projective space that is, in some cases, the fastest available. The goal of this talk is to discuss a generalization of the BGG correspondence from standard graded to multigraded polynomial rings and how it leads to an Eisenbud-Fløystad-Schreyer-type algorithm for computing sheaf cohomology over certain projective toric varieties.

Asset no preview Notes 6.78 MB application/pdf

A Toric BGG Correspondence

H.264 Video 25301_28859_8645_A_Toric_BGG_Correspondence.mp4
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