Faisceaux caractères sur les espaces de lacets d'algèbres de Lie
A. Bouthier. (2021)cite arxiv:2108.12663Comment: in French language, updated references.
Аннотация
We establish several foundational results regarding the Grothendieck-Springer
affine fibration. More precisely, we prove some constructibility results on the
affine Grothendieck-Springer sheaf and its coinvariants, enrich it with a group
of symmetries, analog to the situation of Hitchin fibration, prove some
perversity statements once we take some derived coinvariants and construct some
specialization morphisms for the homology of affine Springer fibers. Along the
way, we prove some homotopy result on l-adic complexes that can also be applied
to Hitchin fibration.
Описание
Faisceaux caract\`eres sur les espaces de lacets d'alg\`ebres de Lie
%0 Generic
%1 bouthier2021faisceaux
%A Bouthier, Alexis
%D 2021
%K Springer
%T Faisceaux caractères sur les espaces de lacets d'algèbres de Lie
%U http://arxiv.org/abs/2108.12663
%X We establish several foundational results regarding the Grothendieck-Springer
affine fibration. More precisely, we prove some constructibility results on the
affine Grothendieck-Springer sheaf and its coinvariants, enrich it with a group
of symmetries, analog to the situation of Hitchin fibration, prove some
perversity statements once we take some derived coinvariants and construct some
specialization morphisms for the homology of affine Springer fibers. Along the
way, we prove some homotopy result on l-adic complexes that can also be applied
to Hitchin fibration.
@misc{bouthier2021faisceaux,
abstract = {We establish several foundational results regarding the Grothendieck-Springer
affine fibration. More precisely, we prove some constructibility results on the
affine Grothendieck-Springer sheaf and its coinvariants, enrich it with a group
of symmetries, analog to the situation of Hitchin fibration, prove some
perversity statements once we take some derived coinvariants and construct some
specialization morphisms for the homology of affine Springer fibers. Along the
way, we prove some homotopy result on l-adic complexes that can also be applied
to Hitchin fibration.},
added-at = {2022-09-14T13:57:09.000+0200},
author = {Bouthier, Alexis},
biburl = {https://www.bibsonomy.org/bibtex/2b4e12393940203af9ed8efc0a0a159df/dragosf},
description = {Faisceaux caract\`eres sur les espaces de lacets d'alg\`ebres de Lie},
interhash = {9dc864ba4e095b125b4e46145e9589ca},
intrahash = {b4e12393940203af9ed8efc0a0a159df},
keywords = {Springer},
note = {cite arxiv:2108.12663Comment: in French language, updated references},
timestamp = {2022-09-14T13:57:09.000+0200},
title = {Faisceaux caract\`eres sur les espaces de lacets d'alg\`ebres de Lie},
url = {http://arxiv.org/abs/2108.12663},
year = 2021
}