Apr 23, 2026
Shifted quantum groups, cluster algebras and geometric character formulas
Algebra, Geometry and Topology Seminar
Date: April 23, 2026 |
1:15 pm –
3:15 pm
Speaker:
David Hernandez, IMJ-PRG
Location: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Language:
English
Shifted quantum groups emerged from the study of quantized Coulomb branches (which are symplectic duals to quiver varieties). We show that the Grothendieck ring of the category O for the shifted quantum affine algebras has the structure of a cluster algebra (jt work with Geiss and Leclerc). This has several applications, such as geometric character formulas for simple classes corresponding to cluster variables.
