DMS Algebra Seminar

Speaker: Dr. Andrew Soto Levins (Texas Tech University)

Title: Liftings of modules and lifting systems

Abstract: Serre defined and studied an intersection multiplicity for finitely generated modules over a regular local ring by using the Euler characteristic, and showed it satisfies many properties that one would expect from an intersection theory. In this talk we discuss a new notion of lifting modules over a noetherian local ring to a regular local ring, and then show how it can be used to prove a new case of Serre's long standing conjecture on the positivity of the Euler characteristic.

This is joint work with Nawaj KC, and with Benjamin Katz, Nawaj KC, Kesavan Mohana Sundaram, and Ryan Watson.