Beginning2019-12-23 16:00:00
Ending2019-12-23 17:00:00
Event titleColloquium-The power of folding in representation theory
SpeakerDr. Chun-Ju Lai (University of Georgia)
Place4F Lecture Room A, General Building III
DescriptionClick here to read
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In this talk I will explain various new phenomena that arise from folding a Dynkin diagram. Since introduced by Drinfeld-Jimbo, the quantum groups have played a central role in Lie theory. By folding, one produces from the quantum groups a variant called the quantum symmetric pairs that enjoy a similar theory of canonical basis, which is an analog of the Kazhdan-Lusztig basis. On the other hand, folding of a graph induces an automorphism on Nakajima's quiver varieties which contain (type A) Springer fibers. Taking the fixed points in turn produces isomorphisms between (two-row) Springer fibers of classical types, whose structures of irreducible components are found useful in the computation of parabolic Kazhdan-Lusztig polynomials.
Last Update Time2019-12-18 15:50:31
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