Syracuse Algebra Seminar

Spring 2026 Schedule:

Next Talk

• February 13: Dorian Kalir (Syracuse University), TBA

  • Abstract: TBA

Upcoming Talks

• February 20: Kory Pollicove (Syracuse University), TBA

  • Abstract: TBA

• February 27: Uli Walther (Purdue University), TBA

  • Abstract: TBA

• March 6:  No talk

• March 13:  No Talk (Spring Break)

• March 20: TBA

  • Abstract: TBA

• March 27: Steven Diaz (Syracuse University)

  • Abstract: TBA

• April: 3: No talk

• April 10: TBA

  • Abstract: TBA

• April 17: TBA

  • Abstract: TBA

Past Talks: 

• January 23: Josh Pollitz (Syracuse University), Embedded deformations and the homotopy Lie algebra

  • Abstract: A classical question of Avramov asks whether embedded deformations of a local ring correspond exactly to central elements in the homotopy Lie algebra of the ring. In this talk, I will discuss the question and some recent advancements. This is joint work with Briggs, Grifo, and Walker.

• January 30: Zachary Nason (University of Nebraska-Lincoln), Level Inequalities for Complexes

  • Abstract: Let R be a commutative noetherian ring. In the derived category of R, the level of a bounded R-complex M with respect to a collection of objects C (often referred to as the C-level of M) is the fewest number of mapping cones involving objects in C needed to obtain M. When C is a nice collection of objects in D(R) (such as the projective modules), the C-level of a complex can give a wealth of information about that complex and the ring itself. For example, if R is local, then R is regular if and only if the projective level of all bounded complexes is finite. Recently, Christensen, Kekkou, Lyle, and Soto Levins have found optimal upper bounds for the Gorenstein projective level of bounded complexes with finitely generated homology. In my talk, I'll show how to improve their result to find optimal upper bounds for the projective, injective, flat, Gorenstein projective, Gorenstein injective, and Gorenstein flat levels of all bounded R-complexes. As an application of my results, I'll prove a version of the Bass Formula for injective levels and for Gorenstein injective levels.