Back to Algebraic Geometry Seminar: Fall 2015
Algebraic Geometry Seminar
Date: Tuesday, Sep 1, 2015
Time: 3:30PM - 4:30PM
Location: JFB 102
Travis Mandel
University of Utah
Title |
Tropical curve counting and canonical bases |
Abstract |
Gross, Hacking, Keel, and Kontsevich recently constructed certain canonical bases for cluster algebras. The construction is combinatoric, but the bases are conjecturally controlled by the Gromov-Witten theory of the mirror cluster variety. I will discuss a new construction of these bases in terms of certain tropical curve counts which I hope to eventually show agree with the predicted Gromov-Witten counts. I will also discuss a refinement of the tropical counts which produces quantized versions of the canonical bases. |
Algebraic Geometry