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SUMMARY:Özgür Esentepe (University of Connecticut)
DTSTART:20210210T150000Z
DTEND:20210210T160000Z
DTSTAMP:20260422T172225Z
UID:UCGEN/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/26/">A
 nnihilation of cohomology over curve singularities</a>\nby Özgür Esentep
 e (University of Connecticut) as part of UCGEN - Uluslararası Cebirsel GE
 ometri Neşesi\n\n\nAbstract\nHilbert's syzygy theorem implies that the se
 cond syzygy of every module over a polynomial ring S in two variables is p
 rojective. In fancy language\, this means that $Ext_S^3(M\,N)$ vanishes fo
 r every pair of modules $M\,N$. This is no longer true when we consider a 
 quotient $R$ of $S$ by an ideal generated by a single polynomial $f$. In f
 act\, for every $i>0$ there is at least one pair $M\,N$ such that $Ext_R^i
 (M\,N)\\neq 0$. We investigate the ideal consisting of ring elements which
  uniformly annihilate all $Ext_R^i(M\,N)$ for sufficiently large $i$. I am
  dedicating this talk to students and academics of Boğaziçi University w
 ho are protesting against a rector appointed by the 12th president of Turk
 ey and I will try my best to keep it accessible to a broad audience.\n
LOCATION:https://researchseminars.org/talk/UCGEN/26/
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