On topics that surround the Cone Theorem, K-stability and Diophantine Arithmetic Geometry

Abstract: I will survey concepts that are near to the Cone Theorem and MMP (for klt pairs), the question of K-stability for polarized projective varieties and their Diophantine arithmetic consequences. In doing so, I will report on some recent and ongoing work. As one example, I intend to propose a concept of slope stability, for polarized projective varieties, from the viewpoint of the extremal ray theory. The idea is that it should extend the traditional concept of slope stability, which is measured along a subvariety.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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