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arXiv · 1809.10774

A quasi-coherent description of the category D-mod(Gr$_{GL(n)}$)

Alexander Braverman·Michael Finkelberg
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Abstract

In arXiv:1807.09038 we formulated a conjecture describing the derived category D-mod(Gr$_{GL(n)}$) of (all) D-modules on the affine Grassmannian of the group $GL(n)$ as the category of quasi-coherent sheaves on a certain stack (it is explained in loc. cit. that this conjecture "follows" naturally from some heuristic arguments involving 3-dimensional quantum field theory). In this paper we prove a weaker version of this conjecture for the case $n=2$.

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Alexander Braverman, Michael Finkelberg. 2022-06-25. A quasi-coherent description of the category D-mod(Gr$_{GL(n)}$). https://doi.org/10.1007/978-3-030-82007-7_5

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