Gil Kalai

Mailing address: Institute of Mathematics, Hebrew University, Givat-Ram, Jerusalem 91904, Israel

Telephone numbers: Office (972)2-6584729, Home (972)2-6536301, Fax (972)2-5630702.

Email addresses: kalai@math.huji.ac.il, my home page

Polytopes & Convexity

An Invitation to Tverberg's Theorem We describe Tverberg theorem concerning point-configurations in Euclidean spaces present Sarkria's striking proof and indicate other proofs. We discuss topological generalization and questions related to the dimension of Tverberg points. In particular, we present a 25-years old conjecture on the sum of the dimensions of tverberg points of all orders and speculate about applicability of this and related conjectures to graph coloring and the four color theorem.