论文标题

支持Singulier et hologie des fibers d de Springer offines

Support singulier et homologie des fibres de Springer affines

论文作者

Bouthier, Alexis

论文摘要

我们为各种无限尺寸堆栈提供了单一支持的理论,并建立了多种功能性能。然后,我们应用该理论来计算Grothendieck-Springer Aggine Springer捆的奇异支持,并将其依赖于Goresky-Kottwitz-McPherson的局部构造,沿根估值沿根估值沿根估值的同源性。

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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