10. Oct 2019

Positivity for quantum canonical bases for cluster algebras

Datum: 10. October 2019 | 13:30 – 15:30
Sprecher: Ben Davison, University of Edinburgh
Veranstaltungsort: 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.