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GKM spaces and the nabla operator
Algebraic Geometry and Number Theory| Speaker: | Erik Carlsson, UC Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~ecarlsson/ |
| Location: | 1147 MSB |
| Start time: | Tue, Nov 16 2021, 11:00AM |
I'll explain some recent results with A. Mellit which show that the matrix elements of the nabla operator, which is diagonal in the modified MacDonald basis of symmetric functions, compute the Frobenius character of the GKM cohomology of the "unramified affine Springer fiber." From this we can see the $q,t$-symmetry, and also a geometric interpretation of a conjecture about the signs of these coefficients.