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Matroids and Tropical Geometry

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

September 05, 2017 (09:15 AM PDT - 10:15 AM PDT)
Speaker(s): Federico Ardila (San Francisco State University)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • Matroids

  • Tropical geometry

  • Polytopes

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

Abstract

Tropical algebraic geometry studies varieties by `tropicalizing' them into polyhedral complexes. The hope, which is realized surprisingly often, is that difficult algebro-geometric questions will reduce to simpler polyhedral questions. The resulting questions are usually not easy, and that’s good news for us: they have led to several new and interesting research directions in geometric combinatorics. Matroids often play a fundamental role because they are equivalent to tropical linear spaces. This talk will survey a few central aspects of the interplay between matroids and tropical geometry, and discuss some recent developments.

Supplements
29477?type=thumb Ardila Notes 2.28 MB application/pdf Download
Video/Audio Files

1-Ardila

H.264 Video 1-Ardila.mp4 190 MB video/mp4 rtsp://videos.msri.org/data/000/029/338/original/1-Ardila.mp4 Download
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