Geometry Seminar

Date: September 22, 2017

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: V. Makam, U. Michicgan

Title: Degree bounds for invariant rings of quivers

Abstract: The ring of polynomial invariants for a rational representation of a reductive group is finitely generated. Nevertheless, it remains a difficult task to find a minimal set of generators, or even a bound on their degrees. Combining ideas originating from Hochster, Roberts and Kempf with the study of various ranks associated to linear matrices, we prove "polynomial" bounds for various invariant rings associated to quivers. The polynomiality of our bounds have strong consequences in algebraic complexity. If time permits, we will discuss these as well as applications to lower bounds for border rank of tensors. This is joint work with Derksen.