Quantum Frobenii on Morava E-theoretical Hall algebras
Morava E-theoretical Hall algebras of a preprojective algebra are generalized quantum groups, constructed geometrically. In this talk, I will explain how the transchromatic character maps of Hopkins, Kuhn, Ravenal, and Stepleton can be used to construct quantum Frobenius maps between these algebras. This is a geometric construction of generalizations of the quantum Frobenius from Lusztig quantum groups at a root of unity to the enveloping algebras.
Dr Gufang Zhao, Univerisity of Melbourne