Speaker: Josh Pollitz, University of Utah, Salt Lake City, UT, USA.
Date/Time: 29 October 2021, 7:30pm IST/ 2:00pm GMT / 10:00am ET (joining
time 7:15pm IST).
Gmeet link: meet.google.com/iop-sgzk-nko
Title: Symmetries in Bass and Betti sequences over a complete intersection
ring .
Abstract: Despite homological algebra over a complete intersection ring
being unbounded, resolutions enjoy polynomial growth. That is to say, for
a finitely generated module over a complete intersection ring, its
sequence of Bass numbers and its sequence Betti numbers are eventually
given by quasi-polynomials with period two; the leading terms of the
quasi-polynomials are independent of the parity. In this talk, I will
discuss joint worth with Briggs and McCormick where we show the leading
terms of the two quasi-polynomials agree. The main tool is a higher order
support theory which generalizes the well-studied support varieties of a
complete intersection ring.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar