The Algebra & Number Theory Seminar meets Mondays at 3:00 pm during the semester. Talks will be given online via Zoom or in person; please check the specific week's talk. If you would like to give a talk in the seminar please contact Lars Winther Christensen at lars.w.christensen@ttu.edu
Using homological algebra, Serre defined and studied an intersection
multiplicity for finitely generated modules over a regular local
ring. He did this by using the Euler characteristic, and showed that
it satisfied many properties one would expect with an intersection
theory. The goal of this talk is to give an introduction to the
partial Euler characteristics and share a result about an Ext analog
of the partial Euler characteristics.