Seminar Event Detail

Student Commutative Algebra

Date:  Tuesday, April 12, 2022
Location:  3088 East Hall (3:00 PM to 4:00 PM)

Title:  Frobenius functor and finite projective dimension

Abstract:   Over a local complete intersection ring in positive characteristic, we shall see that the Frobenius functor, i.e. base change along the Frobenius map detects whether a module has finite projective dimension. This result of S.P. Dutta can be thought of as a partial converse to Peskine-Szpiro's celebrated result: the Frobenius functor applied to the resolution of a module of finite projective dimension produces another resolution.

This will be an online talk, with a watch party in EH3088. One can also join via this link:


Speaker:  Alapan Mukhopadhyay
Institution:  University of Michigan, Ann Arbor

Event Organizer:     


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