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Equivariant Methods in Discrete Geometry: Problems and Progress

Introductory Workshop: Geometric and Topological Combinatorics September 05, 2017 - September 08, 2017

September 07, 2017 (09:00 AM PDT - 10:00 AM PDT)
Speaker(s): G√ľnter Ziegler (Freie Universit√§t Berlin)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • discrete geometry

  • Borsuk-Ulam

  • equivariant problems

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Abstract

In this lecture, I will discuss three different problems from Discrete Geometry,

  • the Topological Tverberg Problem,
  •  the Colored Tverberg Problem, and
  • the Grünbaum Hyperplane Problem.

These problems have many things in common:

  • They are easy to state, and may look harmless,
  • They have very nice and classical configuration spaces,
  • they may be attacked by ``Equivariant Obstruction Theory'',
  • this solves the problems --- but only partially,
  • which leads us to ask more questions, look for new tools ...
  • and this yields surprising new results.

(Joint work with Pavle Blagojevic, Florian Frick, Albert Haase, and Benjamin Matschke)

Supplements No Notes/Supplements Uploaded
Video/Audio Files

10-Ziegler

H.264 Video 10-Ziegler.mp4 189 MB video/mp4 rtsp://videos.msri.org/data/000/029/360/original/10-Ziegler.mp4 Download
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