Wednesday, January 23 and 30, 18:30, room 306shinymath, · Categories: Без рубрики
Geometry and algebra of lattice polytopes
We shall overview geometry of lattice polytopes and its applications, and discuss the seminar topics for this term. At the same time, I will recall some facts and notions that will be used in the subsequent talks by Anatoly Kouchnirenko (see below).
This includes: classification and statistics of lattice polytopes, Ehrhart polynomials of lattice polytopes and Hilbert series of graded algebras, multiplicities of roots and length of local algebras, shellable complexes and f-vectors of polytopes
Upcoming talks: February 6&13: Anatoly Kouchnirenko Arnold filtrations, Stanley–Reisner rings, and simplicial Newton polytopes (in Russian)