University of Connecticut

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Commutative Cluster Algebra Seminar
Title: Geometric q-character formula
Speaker: Ralf Schiffler (University of Connecticut)

Wednesday, September 11, 2019
4:00pm – 5:00pm

Storrs Campus
Monteith 313

Hernandez and Leclerc constructed monoidal categorifications of cluster algebras in terms of modules over quantum affine algebras. They conjectured a geometric q-character formula for these modules. Together with Bing Duan we proved this conjecture in types A and B for a class of simple modules called snake modules introduced by Mukhin and Young. Moreover, we give a combinatorial formula for the F-polynomial of the generic kernel associated to the snake module. As an application, we show that snake modules correspond to cluster monomials with square free denominators.

Contact:

Ralf Schiffler schiffler@math.uconn.edu

Cluster Algebras Seminar (primary), UConn Master Calendar

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