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Automorphism groups of Schubert varieties and some toric varieties in $G/B.$

S.S. Kannan (CMI, India)
Onsdag, 27 september, 2017, at 16:30-17:30, in Aud. D3 (1531-215)
In an earlier work, we prove that if $G$ is simple simply laced algebraic group of adjoint type, then the neutral component of the automorphism group of a smooth Schubert variety $X(w)$ is a quotient of the stabiliser of $X(w)$ in $G.$ In the recent we show that given any parabolic subgroup $P$ of $G$ ( $G$-simply laced ) there is a Schubert variety $X(w)$ in $G/B$ such that $P=Aut^{0}(X(w))$. We also explain the automorphism groups of some toric varieties in $G/B$.
Organiseret af: QGM
Kontaktperson: Jørgen Ellegaard Andersen