Cours de l'IHÉS­­ 2014-2015

Singular support of coherent sheaves (4/4)

by Prof. Dennis Gaitsgory (Harvard)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Singular support is an invariant that can be attached to a coherent sheaf
on a derived scheme which is quasi-smooth (a.k.a. derived locally complete
intersection). This invariant measures how far a given coherent sheaf is
from being perfect. We will explain how the subtle difference between
"coherent" and "perfect" is responsible for the appearance of  Arthur 
parameters in the context of geometric Langlands correspondence.

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