Hecke operators on surfaces and Higgs fibers

Abstract

For a smooth complex surface S, we introduce an algebra of Hecke operators acting on the homology of coherent bundle fields on S, by elementary pointwise modifications. This algebra is identified with an algebra of type 'W_{1+\infty}' modeled on the cohomology of S. Applications of this algebra to the geometry of moduli spaces of semistable Higgs fibers on a curve will be given.

Hecke operators on surfaces and Higgs fibers

Abstract

Olivier Shiffmann

Speaker(s)

Olivier Shiffmann

Events

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Action of the braid group on the cohomology of Deligne-Lusztig varieties

Invariant theory and moduli spaces (2)

Cohomology of affine Springer fibers and small quantum groups

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Mirror Symmetry and Big Algebras

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First Steps in Global Lie Theory: wild Riemann surfaces, their charact…

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Hecke operators on surfaces and Higgs fibers

Invariant theory and moduli spaces (6)

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See also