Mareike Massow (TU Berlin)

2009/02/06, 13:00

Before the BMS Friday Colloquium by Prof. Gil Kalai

Before the BMS Friday Colloquium by Prof. Gil Kalai

Urania Berlin, at the BMS Loft

Helly's Theorem is one of the most famous results of a combinatorial nature about convex sets. It states that if we have $n$ convex sets in $\mathbb R^d$, where $n>d$, and the intersection of every $d+1$ of these sets is nonempty, then the intersection of all sets is nonempty. In preparation of Gil Kalai's BMS talk, we will see a basic proof of this theorem using (a basic proof of) Radon's Lemma. Hopefully we will also have a look at some application(s).