BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Gunnar Fløystad (University of Bergen)
DTSTART:20210924T130000Z
DTEND:20210924T140000Z
DTSTAMP:20260423T004548Z
UID:ACPMS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ACPMS/8/">Sh
 ift modules\, strongly stable ideals\, and their dualities</a>\nby Gunnar 
 Fløystad (University of Bergen) as part of Algebraic and Combinatorial Pe
 rspectives in the Mathematical Sciences\n\n\nAbstract\nPolynomial rings ov
 er a field $k$ are the prime objects in algebra. Ideals in polynomial ring
 s are the prime objects relating algebra and geometry via the zero set of 
 the ideal.\n\nTo understand ideals in a polynomial ring\, a common approac
 h is to see what simpler ideals they degenerate to\, for instance what mon
 omial ideals. But what are the most degenerate ideals you can find? Those 
 that cannot be degenerated any further? These are the so-called Borel-fixe
 d ideals\, or\, when the field k has characteristic zero\, the strongly st
 able ideals. This class is for instance the essential tool for understandi
 ng numerical invariants of ideals in polynomial rings.\n\nWe enrich the se
 tting of strongly stable ideals by:\n\n1. Extending them to a category of 
 modules\n\n2. Investigating the recently discovered duality on these ideal
 s\n\n3. Getting a new type of projective resolution of such ideals\n\n4. L
 etting the ambient polynomial ring be infinite dimensional\n
LOCATION:https://researchseminars.org/talk/ACPMS/8/
END:VEVENT
END:VCALENDAR