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.

More Information:

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)

Contact:

OOSTHUIZEN-NOCZIL Birgit

Email:
boosthui@ist.ac.at

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