Algebraic Geometry Seminar

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Date, time & place Tuesday 15:30 - 17:00 Room #122 (Graduate School of Math. Sci. Bldg.)

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15:30-17:00   Room #122 (Graduate School of Math. Sci. Bldg.)
De Qi Zhang (Singapore)
Endomorphisms of normal projective variety and equivariant-MMP (English)
[ Abstract ]
We report some recent joint works on polarized or int-amplified endomorphisms f on a normal projective variety X with mild singularities, and prove the pseudo-effectivity of the anti-canonical divisor of X, and the f-equivariance, after replacing f by its power, for every minimal model program starting from X. Fano varieties and Q-abelian varieties turn out to be building blocks having such symmetries. The ground field is closed and of characteristic 0 or at least 7.