Brunn-Minkovkii inequality in algebra and geometry

Lundi 18 mai 2009 15:30-00:00 - Khovanskii Askold - Univ. Toronto and Moscow Independent Univ.

Résumé : I will define Newton convex body which is a wide generalization of classical Newton polyhedron. Using this notion and using the elementary planar Brunn-Minkovskii inequality, one can explain many nontrivial results : Alexandrov-Fenkhel inequality in convex geometry and its analogous in algebra, a new version of the Hodge index inequality, a generalization of Fujita approximation theorem from algebraic geometry and so on. My talk will be based on join work with Kiumars Kaveh

Lieu : 425 - 113-115

Brunn-Minkovkii inequality in algebra and geometry  Version PDF