23. Apr 2026
Shifted quantum groups, cluster algebras and geometric character formulas
Algebra, Geometry and Topology Seminar
Datum: 23. April 2026 |
13:15 –
15:15
Sprecher:
David Hernandez, IMJ-PRG
Veranstaltungsort: Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Sprache:
Englisch
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.
