Salle 5, Site Marcelin Berthelot
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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.

Olivier Shiffmann

Olivier Shiffmann

Recruited by CNRS in 2000, post-doctorate at Yale University, then research fellow at DMA (ENS Paris), IMJ, then research director at LMO (Orsay).

Speaker(s)

Olivier Shiffmann

CNRS Research Director, Laboratoire de Mathématiques de Paris-Saclay