Wednesday, January 23 and 30, 18:30, room 306
shinymath, · Categories: Без рубрикиAlexander Esterov
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)