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