matthias beck

some of matt's pictures
MATH 890

Polytopes and Varieties:

Enumerative Geometric Combinatorics

Fall 2015


Possible Topics for Student Lectures

  • Birkhoff's theorem (Theorem 2.9 in the text)
  • Minkowski-Weyl theorem (Theorem 3.1)
  • Dehn-Sommerville relations (Theorem 3.20)
  • Brianchon-Gram relation (Section 3.6)
  • Unimodular triangulations (Section 5.5)
  • Zonotopes
  • Brion's theorem
  • Solid angles (Section 5.6)
  • Order and chain polytopes
  • Integer partitions
  • Shi arrangements
  • Inside-out polytopes
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