|Date: Tuesday, June 21, 2022
Location: You will need to pre-register for the defense. Zoom: 928 0026 1523 Passcode: 0010 Virtual (10:30 AM to 12:30 PM)
Title: Non-commutative Rank, Quivers, and Tensors
Abstract: Fortin and Reutenauer defined the non-commutative rank for a matrix with entries
that are linear functions. We will generalize this non-commutative rank to both the representation theory of quivers, and to tensor spaces. In particular, we will relate non-commutative rank to King’s criterion for sigma-stability of quiver representations, general Hom and Ext spaces studied by Schofield, and several notions of tensor rank.
Alana's advisor is Harm Derksen.
Speaker: Alana Huszar