## Commutative Algebra Seminar

Sarasij Maitra

University of Virginia

Partial Trace Ideals and Berger's Conjecture

**Abstract:**We shall define an invariant that helps in obtaining information regarding the torsion submodule of a finitely generated rank one module over a one-dimensional Noetherian local domain. We shall briefly go through some properties of this and see how this can be applied to a long-standing conjecture of R. Berger concerning the module of differentials over an analytic $k$-algebra. If time permits, then we shall also state and prove an explicit computation of the invariant in this case.

Wednesday January 26, 2022 at 3:00 PM in Zoom