Algèbre, géométrie, topologie

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

par De-Qi Zhang (National University of Singapore)

→ Europe/Paris
Description

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 dynamical degree and arithmetic degree of f,
and the Zariski Dense Orbit conjecture (ZDO) of f.