Quantum groups and cohomology theories
- February 15 (Wed) at 14:00 - 16:00, 2023 (JST)
- Yaping Yang (Senior Lecturer, University of Melbourne, Australia)
- Hybrid Format (Common Room 246-248 and Zoom)
- Yalong Cao
In the first half of my talk, I will review quantum groups at roots of unity and their representation theory. In the second half, I will explain a construction of new quantum groups using cohomology theories from topology. The construction uses the so-called cohomological Hall algebra associated to a quiver and an oriented cohomology theory. In examples, we obtain the Yangian, quantum loop algebra and elliptic quantum group, when the cohomology theories are the cohomology, K-theory, and elliptic cohomology respectively.
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