The next meeting of the seminar of the International Center for Mathematical Sciences will be held on Tuesday, February 28, 2023, at 2:00 pm, in Room 403 of IMI – BAS.

Speaker: Dr. Dimitar Kodjabachev, IMI – BAS.

Title: Gorenstein rings in stable homotopy theory

Abstract. I will discuss a generalization, due to Dwyer, Greenlees and Iyengar, of the notion of a Gorenstein ring from commutative algebra to the algebra of ring spectra. I will illustrate the concept with classical examples from stable homotopy theory as well as more exotic ones coming from derived algebraic geometry, namely the ring spectra of topological modular forms with level structure. Time permitting, I will discuss how things generalize equivariantly in the presence of a group action.