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SUMMARY:Yilong Zhang (Ohio State University)
DTSTART:20210611T220000Z
DTEND:20210611T230000Z
DTSTAMP:20260423T024720Z
UID:UCSBsga/27
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSBsga/27/"
 >Hilbert schemes of skew lines on cubic threefolds</a>\nby Yilong Zhang (O
 hio State University) as part of UCSB Seminar on Geometry and Arithmetic\n
 \n\nAbstract\nOn a smooth cubic threefold Y\, a pairs of skew lines determ
 ines an irreducible component H of the Hilbert scheme of Y. We will show t
 hat the component H is smooth and is isomorphic to the blow-up of the 2nd 
 symmetric product of Fano surface of lines on Y along the diagonal. This w
 ork is based on the work on Hilbert schemes of skew lines on projective sp
 aces by Chen-Coskun-Nollet in 2011. Moreover\, I'll explain the relation o
 f the component H to the compactification of locus of vanishing cycles on 
 hyperplane sections of Y and the stable moduli space considered by Altavil
 la-Petkovic-Rota.\n
LOCATION:https://researchseminars.org/talk/UCSBsga/27/
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