Talks
Fall 2014

# Fano Schemes of Determinants and Permanents

Thursday, September 18th, 2014 11:40 am12:20 pm

Simple questions in linear algebra often give rise to interesting objects in algebraic geometry. For example, the space of singular $n \times n$ matrices is the classical hypersurface given by the vanishing of the $n\times n$ determinant. This hypersurface has interesting geometric properties. In particular, it contains many linear subspaces, whose study is related to (among other things) geometric complexity theory.