Tue, February 17, 2026
3:00 pm - 4:00 pm
Cockins Hall 228
Charlotte Ure
Illinois State University
Title
Generating cohomology in degree one
Abstract
The celebrated Bloch-Kato conjecture implies that the cohomology ring of a field with coefficients in a finite cyclic group is generated in degree one. In this talk, I will present a systematic approach to understanding this phenomenon in finite field extensions. Furthermore, I will explore other groups exhibiting this property and characterize all such groups that are finite. This talk is based on joint work with Sunil Chebolu, Ján Mináč, Cihan Okay, and Andrew Schultz.