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Benjamin Young: The combinatorial PT-DT conjecture via the double

Time: Mon 2020-01-27 16.00 - 16.50

Location: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Lecturer: Benjamin Young, University of Oregon

Abstract

I'll discuss a joint project with Helen Jenne and Gautham Webb, in which we're proving a combinatorial identity about plane partitions and related objects which arises in enumerative geometry, relating the topological vertices in Donaldson-Thomas (DT) theory and Pandharipande-Thomas (PT) theory. Our proof technique involves translating the "box counting" question in PT theory into the Kenyon-Wilson tripartite double-dimer model, and then applying a powerful new technique developed by Jenne for double-dimer computations.

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Belongs to: Department of Mathematics
Last changed: Jan 22, 2020