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Lecture 3 : The Donagi-Markman cubic for the Hitchin system

Le : 30/09/2014 11h00
Par : Peter Dalakov (Academie des Sciences, Sophia, Bulgarie)
Lieu : I 001
Lien web :
Résumé : We recall a result of Donagi and Markman, identifying the infinitesimal period map of an algebraic completely integrable system with a section of 3-rd symmetric power of the tangent bundle to the base of the system. We also relate this to a certain complex variation of Hodge structures on the base. In the main part of the talk we discuss a concrete formula for the cubic for the Hitchin system (due to Balduzzi and Pantev), and its generalisation for the "ramified Hitchin system", due to U.Bruzzo and myself.