WHEN: 08.01.15 at 14:15
WHERE: Seminar Room, Arnimallee 2, FU Berlin

Speaker: Victor M.Buchstaber (Steklov Mathematical Institute, Moscow)

Соmbinatorial 2-truncated cubes and applications

The talk is based on the results of Victor Buchstaber, Vadim Volodin,
Mikhail Gorsky and Nikolai Erochovets. In the first part of the talk we
will discuss the family of combinatorial polytopes that can be obtained
from a cube by sequence of truncations of codimension 2 faces (2 -
truncated cubes). Every 2-truncated cube is flag simple polytope. These
polytopes have remarkable properties and this family contains classes of
polytopes playing important roles in different areas of mathematics. The
second part will be devoted to the results of the flag simple polytopes,
which turns the operation of 2-truncation of the remarkable simple flag
polytopes (dodecahedron ,fullerenes and their multidimensional analogues)
that are not 2-truncated cubes.