Algebraic Geometry and Commutative Algebra: Fan Qin - Beijing Normal University

-

Location: 125 Hayes-Healy Bldg

Speaker: Fan Qin
Beijing Normal University

Will give a Algebraic Geometry and Commutative Algebra Seminar entitled:
Analogs of dual canonical bases for cluster algebras from Lie theory

Abstract: The (quantized) coordinate rings of many interesting varieties from Lie theory are (quantum) cluster algebras. We construct the common triangular bases for these algebras. Such bases provide analogs of the dual canonical bases, whose existence has been long expected in cluster theory. For symmetric Cartan matrices, they are positive and admit monoidal categorification after base change.

Date: 04-16-2024
Time: 3:30 pm
Location: 258 Hurley Bldg

Download Poster [PDF, 162k]

Originally published at math.nd.edu.