University of Kentucky Discrete CATS and WILDCATS Seminars
U N I V E R S I T Y
O F
K E N T U C K Y
DISCRETE
CATS
SEMINAR
WHERE CATS =
COMBINATORICS,
ALGEBRA,
TOPOLOGY
&
STATISTICS!
and
UK
WILDCATS
Seminar
845 PATTERSON OFFICE TOWER
2011 -- 2012
Special seminar:
"Zonotopal algebra and Mason's conjecture"
Matthias Lenz
TU Berlin
Monday, February 6, 2012
4:00 pm
347 Classroom Building
(Note change in location)
Abstract:
Zonotopal algebra is the study of a family of pairs of dual
vector spaces of multivariate polynomials that can be associated with a
list of vectors. It connects objects from combinatorics (e.g. matroids),
discrete geometry (hyperplane arrangements, zonotopes), approximation
theory (box splines) and algebra.
Mason conjectured in 1972 that the f-vector of a matroid complex is
log-concave.
In this talk I will give an introduction to zonotopal algebra, explain
its connections to matroid theory and prove Mason's conjecture for
realizable matroids.
Coming Attractions
Seminar Archive
We would like to thank
Benjamin Braun (NSF DMS-0758321),
Richard Ehrenborg (NSF DMS-0902063)
and
Margaret Readdy (Simons Foundation Collaboration Grant 2011--2016)
who continue to generously
support our speakers
with their grants.
The Discrete CATS seminar is also partially supported
by the University of Kentucky Department of Mathematics.
If you wish to be added to the seminar list, please
e-mail Margaret Readdy at readdy (at) ms.uky.edu