ICTP Mathematics Seminar - Monday 23 November at 16:00

[Math Section]

M A T H E M A T I C S   S E M I N A R S   2015


Monday, 23 November, at 16:00 hrs.




Hery Randriamaro (ICTP)



The Varchenko Determinant of Coxeter Arrangement



Abstract:
The Varchenko determinant is defined on hyperplane arrangement. It was a
general formula which can be written in a more explicit way on arrangement
of real reflection group.
We briefly review  the definition and the general expression of this
determinant. Then we mainly present the different aspects of the real
reflection groups (in algebra as finite Coxeter groups, in geometry as
Coxeter arrangements, and in combinatorics as Coxeter complexes), and how
these different aspects interact each other. We finish by talking on the
role played by each aspect for the calculation of the Varchenko
determinant of any Coxeter arrangement.
This research was done in cooperation with Goetz Pfeiffer from the
National University of Ireland, Galway.




VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first
floor)