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f-vectors of simplicial complexes and polytopes, part II: methods

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

September 06, 2017 (11:30 AM PDT - 12:30 PM PDT)
Speaker(s): Martina Juhnke-Kubitzke (Universität Osnabrück)
Location: MSRI: Simons Auditorium
  • face numbers

  • Polytopes

  • Simplicial Complexes

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


This talk builds on Eran Nevo's talk, where he presented results and problems on f-vectors of simplicial complexes and polytopes. We will provide an overview of some of the most important tools used to prove this kind of results. This includes combinatorial methods such as shellings, as well as algebraic and geometric methods such as Stanley-Reisner rings, sigma modules, toric varieties, Lefschetz properties and rigidity of frameworks. We will also hint at specific examples, where those techniques have been applied successfully.

Video/Audio Files


H.264 Video 7-Kubitzke.mp4 366 MB video/mp4 rtsp://videos.msri.org/data/000/029/352/original/7-Kubitzke.mp4 Download
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