Speaker: Sergey Galkin

Title: Inequalities and their extremes

Date: Dec 5, 2011, 16:15 - 17:45

Place: Seminar Algebraische Geometrie, Freie Universitaet, Berlin

Abstract:

I'll demonstrate a few interrelated (some famous and some new) incarnations
of the following meta-mathematical principle:
objects that saturate a natural inequality
have distinguished discrete, arithmetic and combinatorial nature.
First example is Mason-Stothers inequality and Belyi functions.
Second example is Szpiro(-Beauville-Miranda-Persson-Shioda-Tate) inequality and extremal elliptic surfaces.
Third example is a natural linearization-generalization of the second one:
Golyshev's inequality and extremal local systems.
If time permits I'll show some other incarnations
or explain why mirror reflections of Fano varieties
is a generalizations of the inequality of arithmetic and geometric means.