Davide Dal Martello, University of Birmingham. Quantum cluster varieties, quiver seizures, and GDAHA
This talk will take place on Zoom only.
Generalized double affine Hecke algebras (GDAHA) are flat deformations of the group algebras of special planar crystallographic groups.
Borrowing the higher Teichmüller toolkit, I will construct the first explicit representation of the E6-type GDAHA by outlining a machinery that links geometry with quantum algebra.
Moreover, I will show that the (graph-theoretical) quiver seizure operation connects this new representation with another deep construction we introduced as the “GDAHA functor”.
NCG&T Prague 