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SUMMARY:Syzygies of the cotangent complex
DTSTART:20230502T151500
DTEND:20230502T170000
DTSTAMP:20260609T215058Z
UID:1c5ca21c6bc364991a7c95cb9eea189d051ca14957f28f12ab82c4bb
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ben Briggs\, University of Copenhagen\nThe cotangent complex i
 s an important but difficult to understand object associated to a map of c
 ommutative rings (or schemes). It is connected with some easier to compute
  invariants: the module of differential forms\, the conormal module\, and 
 Koszul homology can all be seen as syzygies inside the cotangent complex. 
 Quillen conjectured that\, for maps of finite flat dimension\, the cotange
 nt complex can only be bounded for locally complete intersection homomorph
 isms. This was proven by Avramov in 1999. I will explain how to get a new 
 proof by paying attention to these syzygies\, and how to simultaneously pr
 ove a conjecture of Vasconcelos on the conormal module.
LOCATION:MA A3 30 https://plan.epfl.ch/?room==MA%20A3%2030
STATUS:CONFIRMED
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