58 KAM Mathematical Colloquium

58 KAM Mathematical Colloquium

Prof. Gil Kalai

Hebrew University, Jerusalem

CONVEXITY, CONVEX POLYTOPES AND COMBINATORICS


streda 22. unora 2006 v 10:40, poslucharna S8, prvni patro
KAM MFF UK
Malostranske nam. 25
118 00 Praha 1

Abstract

In the lecture I will describe some combinatorial problems concerning convex sets and convex polytopes. Some such connections are quite old. Examples are: The classification of Platonic solids; Euler's famous formula V-E+F =2; Helly's theorem that asserts that given n convex sets in d-space, if every d+1 of those convex sets share a point then all of them do. And there are splendid new examples and related problems that we will discuss in the lecture. The lecture will be quite elementary and students are welcomed.
 


O přednášejícím

Gil Kalai studoval na Hebrew University v Jeruzaleme (Ph.D. pod vedenim M.A.Perlese), kde je dnes radnym profesorem matematiky (Henry and Manya Noskwith chair). Je rovnez profesorem matematiky a informatiky na Yale University. Hlavni oblasti zajmu profesora Kalaie je kombinatorika a konvexni geometrie v sirokem matematickem a informatickem kontextu: teorie konvexnich mnohostenu, souvislosti kombinatoriky s topologii a Fourierovou analyzou, booleovske funkce, prahove a isoperimetricke problemy. Venuje se rovnez aplikacim kombinatoriky v teoreticke informatice, optimalizaci, pravdepodobnosti a ekonomii. G. Kalai je prednim svetovym odbornikem. Prednesl zvanou prednasku na Svetovem kongresu matematiku v Zurichu a jako jeden z mala matematiku ziskal vsechny mezinarodni ceny udelovane v kombinatorice, diskretni matematice a optimalizaci: Polyovu cenu (1992), Erdosovu cenu (1993) a Fulkersonovu cenu (1994). Prednasky Gila Kalaie jsou proslule. Jeho kolokvium je urceno nejsirsi matematicke a informaticke verejnosti.