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DTSTART;TZID=Europe/Paris:20211207T133000
DTEND;TZID=Europe/Paris:20211207T143000
DTSTAMP:20211210T082434Z
CREATED:20211102T120623Z
LAST-MODIFIED:20211210T082434Z
UID:9666-1638883800-1638887400@lmv.math.cnrs.fr
SUMMARY:AG : Khang Nguyen Duc (Magdeburg University) : "A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type"
DESCRIPTION:Abstract: We consider the Grothendieck polynomials appearing in the K-theory of Grassmannians\, which are analogs of Schur polynomials. We extend the classical Murnaghan-Nakayama rule for Grothendieck polynomials of the Grassmannian type. Namely\, we describe the decomposition of the product of a Grothendieck polynomial with a power sum symmetric polynomial into Grothendieck polynomials.
URL:https://lmv.math.cnrs.fr/evenenement/khang-nguyen-duc-magdeburg-university-a-murnaghan-nakayama-rule-for-grothendieck-polynomials-of-grassmannian-type/
CATEGORIES:Séminaire AG
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DTSTART;TZID=Europe/Paris:20211214T133000
DTEND;TZID=Europe/Paris:20211214T143000
DTSTAMP:20211217T091549Z
CREATED:20211102T120808Z
LAST-MODIFIED:20211217T091549Z
UID:9668-1639488600-1639492200@lmv.math.cnrs.fr
SUMMARY:AG : Thomas Hudson (Wuppertal Univ.) : Towards an equivariant Bezout's theorem
DESCRIPTION:Abstract: Bezout’s theorem is a fundamental result in enumerative  geometry which can be used to compute the degree of the  intersection of a finite number of varieties in general position.  In its simplest formulation it predicts the number of points of  intersection of n hypersurfaces in $\mathbb{P}^n$\, which\, when  counted appropriately\, is given by the product of the degrees of  the defining polynomials. The goal of this talk\, based on a joint  work with S. Costenoble and S. Tilson\, is to illustrate how to  generalise this classical result and its proof to the case of  varieties endowed with an action of $\mathbb{Z}/2$. The solution to  this problem crucially relies on the computation for projective  spaces of a generalisation of Bredon equivariant cohomology due to  Costenoble-Waner.
URL:https://lmv.math.cnrs.fr/evenenement/thomas-hudson-wuppertal-univ/
CATEGORIES:Séminaire AG
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