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SUMMARY:Bernd Sturmfels (UC Berkeley and MPI Leipzig)
DTSTART:20200422T200000Z
DTEND:20200422T210000Z
DTSTAMP:20260423T040328Z
UID:AG-Davis/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/1/"
 >Theta surfaces</a>\nby Bernd Sturmfels (UC Berkeley and MPI Leipzig) as p
 art of UC Davis algebraic geometry seminar\n\n\nAbstract\nA theta surface 
 in affine 3-space is the zero set of a Riemann theta function in genus 3. 
 This includes surfaces arising from special plane quartics that are singul
 ar or reducible. Lie and Poincaré showed that theta surfaces are precisel
 y the surfaces of double translation\, i.e. obtained as the Minkowski sum 
 of two space curves in two different ways. These curves are parametrized b
 y abelian integrals\, so they are usually not algebraic. This paper offers
  a new view on this classical topic through the lens of computation. We pr
 esent practical tools for passing between quartic curves and their theta s
 urfaces\, and we develop the numerical algebraic geometry of degenerations
  of theta functions.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/1/
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