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SUMMARY:Josh Pollitz (University of Utah)
DTSTART:20211029T130000Z
DTEND:20211029T140000Z
DTSTAMP:20260423T021054Z
UID:VCAS/106
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VCAS/106/">S
 ymmetries in Bass and Betti sequences over a complete intersection ring</a
 >\nby Josh Pollitz (University of Utah) as part of IIT Bombay Virtual Comm
 utative Algebra Seminar\n\n\nAbstract\nDespite 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 i
 ntersection ring\, its sequence of Bass numbers and its sequence Betti num
 bers are eventually given by quasi-polynomials with period two\; the leadi
 ng terms of the quasi-polynomials are independent of the parity. In this t
 alk\, I will discuss joint worth with Briggs and McCormick where we show t
 he leading terms of the two quasi-polynomials agree. The main tool is a hi
 gher order support theory which generalizes the well-studied support varie
 ties of a complete intersection ring.\n
LOCATION:https://researchseminars.org/talk/VCAS/106/
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