The combinatorial PT-DT conjecture via the double

Algebraic and Enumerative Combinatorics

27 January 16:00 - 16:50

Benjamin Young - University of Oregon

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.
Sara Billey
University of Washington
Petter Brändén
KTH Royal Institute of Technology
Sylvie Corteel
Université Paris Diderot, Paris 7
Svante Linusson
KTH Royal Institute of Technology


Svante Linusson


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