3:45PM: Gorenstein rings and Tate ResolutionsDavid EisenbudThe first part of this talk will be an exposition of some basic theory of Gorenstein rings; then I'll talk about some recent work on Tate resolutions and future directions that I am pursuing with Frank Schreyer, Daniel Erman and Michael Brown.
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5:00PM: Biliaison of sheavesMengyuan ZhangWe introduce the notion of biliaison of sheaves as a higher rank generalization of biliaison of subvarieties. We show that there is a lattice structure within the biliaison class of sheaves, and extend some structure theorem from biliaison classes of subvarieties to biliaison classes of sheaves.
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