Seminar of Algebra

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The Equivariant Minimal Model Program and its Applications to Algebraic and Arithmetic Dynamics

Speaker:
De-Qi Zhang (National University of Singapore)
Email:
matzdq@nus.edu.sg
Location:
Departamento de Álgebra
Date:
Tue, 27 may 2025 11:30
I am a Full Professor of Mathematics, my interests are Algebraic Geometry and Algebraic Dynamics

We report our recent progress on the Equivariant Minimal Model Program (EMMP), the MMP which preserves an endomorphism f of a projective variety with mild singularities.

We apply this EMMP to algebraic and arithmetic dynamics, especially to the Kawaguchi-Silverman conjecture (KSC) about the equality of the dynamical degree and the arithmetic degree of f, and the Zariski Dense Orbit conjecture (ZDO) of f.