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:
https://umich.zoom.us/j/92127851721?pwd=N2k4d0JTSWsyMzZDelFIemZ0cXhIZz09 Speaker(s): Alapan Mukhopadhyay (University of Michigan, Ann Arbor)