%0 Generic %1 bouthier2020perverse %A Bouthier, Alexis %A Kazhdan, David %A Varshavsky, Yakov %D 2020 %K perverse %T Perverse sheaves on infinite-dimensional stacks, and affine Springer theory %U http://arxiv.org/abs/2003.01428 %X The goal of this work is to construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the loop Lie algebra Lg and to show that the affine Grothendieck-Springer sheaf S is perverse. Moreover, S is an intermediate extension of its restriction to the locus of "compact" elements with regular semi-simple reduction. Note that classical methods do not apply in our situation because LG and Lg are infinite-dimensional ind-schemes.

@misc{bouthier2020perverse, abstract = {The goal of this work is to construct a perverse t-structure on the infinity-category of l-adic LG-equivariant sheaves on the loop Lie algebra Lg and to show that the affine Grothendieck-Springer sheaf S is perverse. Moreover, S is an intermediate extension of its restriction to the locus of "compact" elements with regular semi-simple reduction. Note that classical methods do not apply in our situation because LG and Lg are infinite-dimensional ind-schemes.}, added-at = {2020-06-03T08:55:00.000+0200}, author = {Bouthier, Alexis and Kazhdan, David and Varshavsky, Yakov}, biburl = {https://www.bibsonomy.org/bibtex/2356070bb53637aec920c460aff8aeba3/simonechiarello}, description = {Perverse sheaves on infinite-dimensional stacks, and affine Springer theory}, interhash = {fea0af6cb8e189922e9e70e651257501}, intrahash = {356070bb53637aec920c460aff8aeba3}, keywords = {perverse}, note = {cite arxiv:2003.01428Comment: 137 pages, comments are welcome, v.2,3: references corrected, v 4, minor revision}, timestamp = {2020-06-03T08:55:00.000+0200}, title = {Perverse sheaves on infinite-dimensional stacks, and affine Springer theory}, url = {http://arxiv.org/abs/2003.01428}, year = 2020 }