Oct 10, 2019
Positivity for quantum canonical bases for cluster algebras
Date: October 10, 2019 |
1:30 pm –
3:30 pm
Speaker:
Ben Davison, University of Edinburgh
Location: Heinzel Seminar Room / Office Bldg West (I21.EG.101)
I will explain how, in recent work with Travis Mandel, we prove that skew-symmetric quantum cluster algebras have positive structure constants. This work combines the language of scattering diagrams arising in the Gross-Siebert approach to mirror symmetry with that of cohomological DT theory, and proceeds by considering the canonical basis constructed from quantum theta functions. I will try to relate this to the canonical bases that are more familiar from geometric representation theory.
