WHEN: 23.04.15 at 14:15
WHERE: Seminar Room, Arnimallee 2, FU Berlin

Speaker: Tobias Friedl (FU Berlin)

Zero Sets of Polynomials Invariant under Finite Reflection Groups

The degree principle states that the non-emptiness of the zero set of a symmetric polynomial of degree at most d can be tested on a set of dimension d, independent of the dimension of the ambient space (Timofte, 2003, Riener, 2012).
In this talk we generalize this to the case of arbitrary reflection groups. We show that the non-emptiness of the zero set of an invariant polynomial can be tested on the union of certain flats in the corresponding reflection arrangement. This is joint work with Cordian Riener and Raman Sanyal.