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.


Ralf Schiffler

Cluster Algebras Seminar (primary), UConn Master Calendar

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