1/22 parts of Ch 2 and Ch 3 from From polytopes to enumeration
1/27 & 1/29 more of Ch 2 and Ch 3 of From polytopes to enumeration as well as (sketch of ) proof that V-polyhedra and H-polyhedra are the same from Ch 1 of Ziegler's book (on reserve in the library).
2/3 & 2/5 part of Sections 2.1 and 2.2 from Ziegler's book (on reserve in the library), vertex figure and its properties (Prop. 2.4), Thm 2.7 (proof). 2/10 & 2/12 Ch 2.3 from Ziegler's book (on reserve in the library)
2/19 Cyclic polytopes: pages 11-16 in Ziegler's book (on reserve in the library)
2/24 Complexes, subdivisions, and (regular) triangulations Section 5.1 Ziegler's book (on reserve in the library), Catalan numbers: the number of triangulations of an n-gon
2/26 Triangulations of the crosspolytope, Counting lattice points in polytopes; Sections 2.1, 2.2, 2.3 in this ebook (hard copy also on reserve in the library)
3/3 Partition functions, Section 1.5 in this ebook and cones Section 3.1 in this ebook (hard copy also on reserve in the library)
3/5 Cones and generating functions for their integer points. Sections 3.1 & 3.2 in this ebook and Ehrhart polynomials and series of integer polytopes. Sections 3.3, 3.4 in this ebook
3/10 Ehrhart polynomials and series of integer polytopes continued. Sections 3.4 & 3.5 in this ebook (hard copy also on reserve in the library)
3/12 & 3/17 Pick's theorem (2.6) and magic squares (Birkhoff polytope) (Ch 6), Euler relation, h-vectors, f-vectors, Dehn-Sommerville equations, Chapter 5 in this ebook (hard copy also on reserve in the library) as well as volumes of Minkowski sums, mixed volumes.
3/19 The permutahedron as a Minkowski sum of segments.
3/24 Volumes of the permutahedron
3/26 Exam
3/31 & 4/2 Spring Break
4/7 & 4/9 Volumes of the permutahedron and the Stanley-Pitman polytope
4/14 & 4/16 Graphs of polytopes, Ch 3 of Ziegler's book (on reserve in the library).