Speaker: Ugo Bruzzo (SISSA)
Date: Friday, 15/08/2025 - 14h:00 GMT-3 (Brasilia - Buenos Aires)
Abstract:
The Grassmann bundle associated with a complex vector bundle E is a moduli space which, in a suitable sense, parameterizes the local free quotients (or subbundles) of E; it may be regarded as the space which represents the functor of quotients of E, and is a kind of “relative version” of the Grassmann varieties of quotients (subspaces) of a vector space. If the vector bundle E is equipped with a Higgs field phi (a differential 1-form with values in the endomorphism bundle of E), it is quite natural to consider quotients of E that are compatible with phi, and this gives rise to the notion of “Higgs Grassmannian”. In this talk I will review this notion and will give some results about the structure of this object.
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