Charu Goel - FB Mathematik und Statistik

Universität Konstanz
Fachbereich
Mathematik und Statistik
Schwerpunkt
Reelle Geometrie und Algebra
Einladung
Im Oberseminar Reelle Geometrie und Algebra hält
Charu Goel
(Indian Institute of Science Education and Research, Mohali)
am Freitag, 08.07.2016, einen Vortrag zum Thema:
Test sets for positivity of invariant forms and
applications to sum of squares
Der Vortrag findet um 13:30 Uhr in F426 statt.
Alle Interessenten sind herzlich eingeladen.
Abstract: In this talk, we first explain test sets for positivity of symmetric quartics
given by Choi-Lam-Reznick in 1980 and review their generalizations to symmetric
and even symmetric polynomials given by Timofte in 2003. We then discuss how
these test sets play an important role in establishing analogues of Hilbert’s characterization from 1888, namely the pairs (n, 2d) for which a positive semidefinite n-ary
2d-ic form can be written as sum of squares of other forms, for symmetric and even
symmetric forms respectively. Finally we discuss our idea to a wider genealization
to analogues of Hilbert’s characterization for forms invariant under the action of
other groups, in particular reflection groups and Lie groups.
Sebastian Gruler
Koordinator Oberseminar

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