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SUMMARY:Bianca Viray (University of Washington)
DTSTART:20201103T170000Z
DTEND:20201103T180000Z
DTSTAMP:20260423T021216Z
UID:ZAG/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/65/">On 
 quadratic points on intersections of two quadrics</a>\nby Bianca Viray (Un
 iversity of Washington) as part of ZAG (Zoom Algebraic Geometry) seminar\n
 \n\nAbstract\nSpringer's theorem and the Amer-Brumer theorem together impl
 y that intersections of two quadrics have a rational point if and only if 
 they have a 0-cycle of degree 1.  In this talk\, we consider whether this 
 statement can be strengthened in the case when there is no rational point\
 , namely when 1) the least degree of a 0-cycle can be 2\, and 2) when this
  occurs\, whether there is an effective 0-cycle of degree 2.  We report on
  results in this direction\, paying particular attention to the case of lo
 cal and global fields.  This is joint work with Brendan Creutz.\n
LOCATION:https://researchseminars.org/talk/ZAG/65/
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