Monica Vazirani, University of California Davis
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PDL C-401 and via Zoom Link: https://washington.zoom.us/j/91547335974
Abstract:
The \$G\$-skein module for the 3-torus is finite dimensional by a result of Gunningham-Jordan-Safronov. For \$G = GL_N\$ and \$SL_N\$, there is a lovely combinatorial formula for these dimensions in terms of the partitions of \$N\$ and the gcd of their parts. Our formula arises from studying skeins on the 2-torus via the representation theory of the double affine Hecke algebra of type \$A\$ and its connection to quantum \$D\$-modules.
This is joint work with Sam Gunningham and David Jordan.
Note: This talk begins with a pre-seminar (aimed at graduate students) at 3:30–4:00. The main talk starts at 4:10.
Join Zoom Meeting: https://washington.zoom.us/j/
Meeting ID: 915 4733 5974