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Fellowship of the Ring, National Seminar: A toric BGG correspondence November 19, 2020 (12:00 PM PST - 02:00 PM PST)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Michael Brown (Auburn University)
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A Toric BGG Correspondence


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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.

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A Toric BGG Correspondence

H.264 Video 25301_28859_8645_A_Toric_BGG_Correspondence.mp4