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arXiv · 1611.02777

Exotic t-structures and actions of quantum affine algebras

Sabin Cautis·Clemens Koppensteiner
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Abstract

We explain how quantum affine algebra actions can be used to systematically construct "exotic" t-structures. The main idea, roughly speaking, is to take advantage of the two different descriptions of quantum affine algebras, the Drinfeld--Jimbo and the Kac--Moody realizations. Our main application is to obtain exotic t-structures on certain convolution varieties defined using the Beilinson--Drinfeld and affine Grassmannians. These varieties play an important role in the geometric Langlands program, knot homology constructions, K-theoretic geometric Satake and the coherent Satake category. As a special case we also recover the exotic t-structures of Bezrukavnikov--Mirkovic on the (Grothendieck--)Springer resolution in type A.

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BibTeXRIS

Sabin Cautis, Clemens Koppensteiner. 2016-11-08. Exotic t-structures and actions of quantum affine algebras. https://arxiv.org/abs/1611.02777

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