![School of Mathematics Event](/sites/default/files/styles/two_column_medium/public/2019-09/sm_default.jpg?itok=gMvWynkh)
Computer Science/Discrete Mathematics Seminar II
Whitney numbers via measure concentration in representation varieties
We provide a simple proof of the Rota--Heron--Welsh conjecture for matroids realizable as c-arrangements in the sense of Goresky--MacPherson: we prove that the coefficients of the characteristic polynomial of the associated matroids form log-concave sequences, proving the conjecture for a family of matroids out of reach for all previous methods. To this end, we study the Lévy--Milman measure concentration phenomenon on natural pushforwards of uniform measures on the Grassmannian to realization spaces of arrangements under a certain extension procedure on matroids.
Date & Time
March 03, 2015 | 10:30am – 12:30pm
Location
S-101Speakers
Karim Adiprasito
Affiliation
Member, School of Mathematics