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arXiv · 1904.09217

An analogue of the Grothendieck-Springer resolution for symmetric spaces

Spencer Leslie
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Abstract

Motivated by questions in the study of relative trace formulae, we construct a generalization of Grothendieck's simultaneous resolution over the regular locus of certain symmetric pairs. We use this space to prove a relative version of results of Donagi and Gaitsgory about the automorphism sheaf of regular stabilizers. We also obtain partial results toward applications in Springer theory for symmetric spaces.

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BibTeXRIS

Spencer Leslie. 2020-07-31. An analogue of the Grothendieck-Springer resolution for symmetric spaces. https://doi.org/10.2140/ant.2021.15.69

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