Vinberg Pairs and Higgs Bundles

Abstract

A finite order automorphism of a complex semisimple Lie group determines a cyclic grading of its Lie algebra. Vinberg's theory is concerned with the geometric invariant theory associated to this grading. Important examples include the case of involutions and representations of cyclic quivers. After reviewing some basic facts about Vinberg's theory, in this talk I will discuss about its relation to the geometry of moduli spaces of Higgs bundles over a compact Riemann surface.

Oscar García-Prada

Oscar García-Prada is a CSIC Research Professor at Instituto de Ciencias Matemáticas- ICMAT, Madrid. He obtained a D.Phil. in Mathematics at the University of Oxford in 1991, and had postdoctoral appointments at Institut des Hautes Études Scientific (Paris), University of California at Berkeley, and University of Paris-Sud, before holding positions at University Autónoma of Madrid and École Polytéchnique (Paris). In 2002 he joined the Spanish National Research Council (CSIC).

Abstract

Oscar García-Prada

Documents and media

Speaker(s)

Oscar García-Prada

Events

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

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Cohomology of affine Springer fibers and small quantum groups

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Mirror Symmetry and Big Algebras

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Vinberg Pairs and Higgs Bundles

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See also