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arXiv · 2202.12017

Support singulier et homologie des fibres de Springer affines

Alexis Bouthier
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Abstract

We develop a theory of singular support for various infinite dimensional stacks and establish several functoriality properties. Then we apply this theory to compute the singular support of the Grothendieck-Springer affine Springer sheaf and rely it to the local constancy conjecture of Goresky-Kottwitz-McPherson on the homology of affine Springer fibers along the root valuation stratification.

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Alexis Bouthier. 2022-02-24. Support singulier et homologie des fibres de Springer affines. https://arxiv.org/abs/2202.12017

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