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SUMMARY:Claudiu Raicu (University of Notre Dame)
DTSTART:20200521T203000Z
DTEND:20200521T220000Z
DTSTAMP:20260423T035813Z
UID:FOTR/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FOTR/5/">Com
 mutative algebra with $S_n$-invariant monomial ideals</a>\nby Claudiu Raic
 u (University of Notre Dame) as part of Fellowship of the Ring\n\n\nAbstra
 ct\nConsider a polynomial ring in $n$ variables\, together with the action
  of the symmetric group by coordinate permutations. In my talk I will desc
 ribe many familiar notions in Commutative Algebra in the context of monomi
 al ideals that are preserved by the action of the symmetric group. These i
 nclude Castelnuovo-Mumford regularity\, projective dimension\, saturation\
 , symbolic powers\, or the Cohen-Macaulay property. My goal is to explain 
 how changing focus from minimal resolutions to Ext modules can lead to a s
 implified picture of the homological algebra\, and to provide concrete com
 binatorial recipes to determine the relevant homological invariants.\n
LOCATION:https://researchseminars.org/talk/FOTR/5/
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