Algebraic Geometry Seminar: Benjamin Young
Topic
The Combinatorial PT-DT correspondence
Speakers
Details
I will discuss a combinatorial problem which comes from algebraic geometry. The problem, loosely, is to show that two theories for "counting" "curves" (Pandharipande-Thomas theory and reduced Donaldson-Thomas theory) give the same answer. I will prove a combinatorial version of this correspondence in a special case (X is toric Calabi-Yau), where the difficult geometry reduces to a study of the "topological vertex'' (a certain generating function) in these two theories. The combinatorial objects in question are plane partitions, perfect matchings on the honeycomb lattice and the double dimer model.
There will be many pictures. This is a combinatorics talk, so no algebraic geometry will be used, except as an oracle for predicting the answer.
There will be many pictures. This is a combinatorics talk, so no algebraic geometry will be used, except as an oracle for predicting the answer.
Additional Information
Location: ESB 2012
Benjamin Young, University of Oregon
Benjamin Young, University of Oregon
This is a Past Event
Event Type
Scientific, Seminar
Date
March 25, 2013
Time
-
Location