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:
https://umich.zoom.us/j/92127851721?pwd=N2k4d0JTSWsyMzZDelFIemZ0cXhIZz09
Files:
Speaker: Alapan Mukhopadhyay
Institution: University of Michigan, Ann Arbor
Event Organizer:
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