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Polynomial equations and polyhedra

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

September 05, 2017 (10:45 AM PDT - 11:45 AM PDT)
Speaker(s): Josephine Yu (Georgia Institute of Technology)
Location: MSRI: Simons Auditorium
Tags/Keywords
  • polynomials

  • Newton polyhedra

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

Abstract

I will discuss how Newton polyhedra and their generalizations are used to study solutions of systems of polynomial equations. For polynomials with generic coefficients, we can tell from the Newton polytopes whether the solution set is empty, how many solutions there are if finite, and whether the solution set is irreducible. We will also see tropical varieties, resultants, and polyhedral homotopies.

Supplements No Notes/Supplements Uploaded
Video/Audio Files

2-Yu

H.264 Video 2-Yu.mp4 469 MB video/mp4 rtsp://videos.msri.org/data/000/029/339/original/2-Yu.mp4 Download
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