School of Mathematics Colloquium

Arithmetic geometry of toric varieties

by Prof. Patrice Philippon (Institut de Mathématiques de Jussieu, France)

Asia/Kolkata
AG-69 (TIFR, Mumbai)

AG-69

TIFR, Mumbai

Description
Abstract: We will present results obtained in collaboration with J.Burgos and M.Sombra. These extend the well known dictionary between the geometric properties of toric varieties and convex geometry. In particular, we give combinatorial descriptions of classical invariants of arithmetic geometry, such as metric, height, essential minimum, positivity properties and equidistribution.