We introduce quivers, path algebras and their representations. Then, in the case when our ground field is algebraically closed, we discuss a particular Morita invariant of path algebras arising from finite quivers, the Ext quiver of the category. Through examples we see how to compute the Ext quiver using quiver representations and techniques from linear algebra. We aim to keep the talk accessible to undergraduate and graduate students alike.
Ryan Bianconi UI Mathematics PhD student
SH 176 and Online (See url)
Praneel Samanta & Nitesh Mathur (UI Mathematics)
GAUSS will meet Tuesdays at 3:30-4:20 PM in Fall 2021.