Events

DMS Algebra Seminar

Time: Sep 13, 2022 (02:30 PM)
Location: ZOOM

Details:
 maddox.jpg
 
Speaker: Kyle Maddox (University of Kansas)
 
Title: Geometric properties of nilpotent singularity types
 
Abstract: In prime characteristic commutative algebra, the study of the Frobenius map dominates. In particular, the hierarchy of classical singularity types for prime characteristic local rings are universally given in terms of how "nice" the Frobenius map and other maps induced by Frobenius can be, e.g., F-injective or F-pure rings. Of recent interest have been new singularity types where Frobenius can be particularly "bad," and in this talk we will discuss work which helps explore the broader geometric context for "F-nilpotent" singularities.