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2 mai 2018: 1 événement

2 mai 2018: 1 événement

  • Séminaires Math-Physique

    Mercredi 2 mai 16:15-17:15 - Ehud Meir - University of Hamburg

    Séminaire Math-Phys : Hopf algebras via geometric invariant theory

    Résumé : Hopf algebras are an algebraic structure which appears in many areas of mathematics (such as representation theory, algebraic topology and operator algebras, to name a few).
    They can be considered as a generalization of a group to the non-commutative geometry setting.
    Their classification, however, even in group theoretical terms, is at present out of our reach.
    In this talk I will describe an alternative approach for studying Hopf algebras, by using tools from geometric invariant theory.
    By applying some classical results, I will show why the study of finite dimensional semisimple Hopf algebras can be reduced into studying some scalar invariants.
    I will then describe how these invariants relate to questions in Hopf algebra theory, and will describe an application to Hopf orders.
    If time permits, I will also describe other applications of geometric invariant theory to cocycle deformations of Hopf algebras.

    Lieu : Salle A318

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