Thursday, March 17, 2016 2:00 pm
-
2:00 pm
EDT (GMT -04:00)
Title: McMullen's proof of the g-theorem for polytonal spheres
Speaker: | Eric Katz |
Affiliation: | University of Waterloo |
Room: | MC 6486 |
Abstract:
The
g-theorem
is
a
powerful
result
that
characterizes
the
face
numbers
of
simplicial
polytopes.
The
hardest
part
of
it
was
proven
by
Stanley
using
ideas
from
algebraic
geometry.
We
review
McMullen's
later,
combinatorial
proof
of
the
g-theorem
for
polytopal
spheres
which
uses
a
synthetic
Hodge
theory
argument.
We
will
situate
this
proof
in
a
broader,
deeper
combinatorial
framework.