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SUMMARY:Kristin DeVleming (University of Massachusetts\, Amherst)
DTSTART:20221020T223000Z
DTEND:20221020T233000Z
DTSTAMP:20260422T053626Z
UID:SFUQNTAG/73
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SFUQNTAG/73/
 ">A question of Mori and families of plane curves</a>\nby Kristin DeVlemin
 g (University of Massachusetts\, Amherst) as part of SFU NT-AG seminar\n\n
 \nAbstract\nConsider a smooth family of hypersurfaces of degree d in P^{n+
 1}.  An old question of Mori is: when is every smooth limit of this family
  also a hypersurface? While it is easy to construct examples where the ans
 wer is "no" when the degree d is composite\, there are no known examples w
 hen d is prime and n>2!  We will pose this as a conjecture (primality of d
 egree is sufficient to ensure every smooth limit is a hypersurface\, for n
  > 2). However\, there are counterexamples when n=1 or 2. In this talk\, w
 e will propose a re-formulation of the conjecture that explains the failur
 e in low dimensions\, provide results in dimension one\, and discuss a gen
 eral approach to the problem using moduli spaces of pairs. This is joint w
 ork with David Stapleton.\n
LOCATION:https://researchseminars.org/talk/SFUQNTAG/73/
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