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A diagrammatic quantization of the geometric Satake equivalence in Type A
Algebra & Discrete Mathematics| Speaker: | Philip Thomas, University of Oregon |
| Related Webpage: | https://cas.uoregon.edu/directory/mathematics/all/pthomas |
| Location: | 1147 MSB |
| Start time: | Mon, Nov 2 2026, 4:10PM |
Description
In joint work with Ben Elias (https://arxiv.org/abs/2609.23253), we provide a categorification of (a reformulated version of) the classical Satake isomorphism for $PGL_n$. This categorification is different from the geometric Satake equivalence, in that we have $Rep(U_q(sl_n))$ replacing $Rep(SL_n)$ on one side of the equivalence, and a category of singular Soergel bimodules (associated to a deformed reflection representation of the affine permutation group) replacing the category of certain perverse sheaves on the affine Grassmannian of $PGL_n$. In this talk, I'll try to provide an overview of this work and explain some of the key ideas involved.