Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, June 01, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Uli Wagner

A combinatorial/geometric proof of the Colored Tverberg Theorem

Several basic theorems in discrete geometry, such as Radon's Theorem and Tverberg's Theorem, concern partions of finite sets in d-space into a prescribed number r of parts in such a way that the convex hulls of the parts have a common point of intersection. One of the most advanced theorems of this type is the so-called Colored Tverberg theorem, whose precise statement we will review in the course of the talk.

This result (originally conjectured by Bárány, Füredi, and Lovász) was first established by Živaljević and Vrećica, with suboptimal bounds or the size of the point set required to achieve a partition into r parts. Recently, Blagojević, Matsche, and Ziegler gave a new proof, which yields sharp bounds for prime r. Shortly afterwards, this was further simplified by Vrećica and Živaljević. All known proofs are topological.

Here, we present a "de-topologized" version of the recent BMZ-VZ proof, in the hope to make it more accessible to a wider audience.

Joint work with J. Matoušek and M. Tancer

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2025  2024  2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login