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SUMMARY:Gavril Farkas (Humboldt-Universität zu Berlin)
DTSTART:20210226T180000Z
DTEND:20210226T193000Z
DTSTAMP:20260423T024656Z
UID:CAGS/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAGS/6/">Gre
 en's Conjecture via Koszul modules</a>\nby Gavril Farkas (Humboldt-Univers
 ität zu Berlin) as part of Columbia algebraic geometry seminar\n\n\nAbstr
 act\nUsing ideas from geometric group theory we provide a novel\napproach 
 to Green's Conjecture on syzygies of canonical curves. Via a\nstrong vanis
 hing result for Koszul modules we deduce that a general\ncanonical curve o
 f genus g satisfies Green's Conjecture when the\ncharacteristic is zero or
  at least (g+2)/2. Our results are new in\npositive characteristic (and an
 swer positively the Eisenbud-Schreyer Conjecture)\, whereas in characteris
 tic zero they provide a different\nproof for theorems first obtained by Vo
 isin. Joint work with Aprodu\, Papadima\, Raicu and Weyman.\n
LOCATION:https://researchseminars.org/talk/CAGS/6/
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