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SUMMARY:Gufang Zhao (University of Melbourne)
DTSTART:20211118T090000Z
DTEND:20211118T110000Z
DTSTAMP:20260423T041525Z
UID:AGNTISTA/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/51/
 ">Frobenii on Morava E-theoretical quantum groups</a>\nby Gufang Zhao (Uni
 versity of Melbourne) as part of Algebraic Geometry and Number Theory semi
 nar - ISTA\n\n\nAbstract\nThis talk is based on joint work with Yaping Yan
 g. We study a family of quantum groups constructed using Morava E-theory o
 f Nakajima quiver varieties. We define the quantum Frobenius homomorphisms
  among these quantum groups. This is a geometric generalization of Lusztig
 's quantum Frobenius from the quantum groups at a root of unity to the env
 eloping algebras. The main ingredient in constructing these Frobenii is th
 e transchromatic character map of Hopkins\, Kuhn\, Ravenal\, and Stapleton
 . In the talk we explain the construction of the Frobenius homomorphism\, 
 as well as an application - a Steinberg type tensor product formula for re
 presentations of the quantum groups.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/51/
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