Fri, October 29, 2021
Public Access


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7:00pm [7:30pm] Josh Pollitz, University of Utah, Salt Lake City, UT, USA.
Description:
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