Spring 2025
Time & Location: All talks are on Wednesday in _____, at 3:00 PM unless otherwise noted.
Organizers: Kalina Mincheva and Alessandra Costantini
Information on up coming events can be found at unofficial seminar website: Here
January 15
Title: Rings with extremal cohomology annihilator
Speaker: Souvik Dey - Charles University, Prague Host: (Dipendranath Mahato, Tai Ha)
Abstract: The cohomology annihilator of Noetherian algebras was defined by Iyengar and Takahashi in their work on strong generation in the module category. For a commutative Noetherian local ring, it can be observed that the cohomology annihilator ideal is the entire ring if and only if the ring is regular. Motivated by this, I will consider the question: When is the cohomology annihilator ideal of a local ring equal to the maximal ideal? I will discuss various ring-theoretic and category-theoretic conditions towards understanding this question and describe applications for understanding when the test ideal of the module closure operation on cyclic surface quotient singularities is the maximal ideal.
