Symmetric and quasi-symmetric functions associated to polymatroids
Harm Derksen
University of Michigan
April 23, 4:00pm
Padelford C-401
refreshments at 3:30pm
Pre-Seminar at 2:30pm in Padelford C-401
ABSTRACT
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Billera, Jia and Reiner defined a quasi-symmetric function invariant
for matroids. Although powerful, this invariant does not specialize
to the Tutte polynomial. In my talk I will define a quasi-symmetric
function for every matroid, or more generally, polymatroid.
This invariant will specialize to the Billera-Jia-Reiner quasi-symmetric
function, as well as the Tutte polynomial. Like the Billera-Jia-Reiner
quasi-symmetric function it has the valuative property for
(poly)matroid base decompositions. In fact, I conjecture that my
invariant is universal with this property.
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Speaker's Contact Info:
http://www.math.lsa.umich.edu/~hderksen/
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