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SUMMARY:Alexander Polishchuk (University of Oregon)
DTSTART:20200623T170000Z
DTEND:20200623T180000Z
DTSTAMP:20260423T021451Z
UID:ZAG/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/25/">Hyp
 erelliptic limits of quadrics through canonical curves and the super-Schot
 tky locus</a>\nby Alexander Polishchuk (University of Oregon) as part of Z
 AG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nI will describe joint 
 works with Eric Rains and with Giovanni Felder and David Kazhdan. The firs
 t part will be about a classical topic of quadrics through canonically emb
 edded curves. We study limiting quadrics as canonical curves approach a hy
 perelliptic limit. There is a surprizingly simple description of all such 
 limits. I will also discuss the connection to ribbon curves (which are thi
 ckenings of rational normal curves) and to the blow up of the moduli space
  of curves at the hyperelliptic locus. In the second part I will talk abou
 t the super-period map for supercurves and the calculation of its infinite
 simal variation. This variation is given by a natural Massey product that 
 can be defined for any curve with a theta-characteristic. Combining this w
 ith the result of part 1 we get some information about the super-Schottky 
 locus.\n
LOCATION:https://researchseminars.org/talk/ZAG/25/
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