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SUMMARY:Bernd Sturmfels (MPI-Leipzig)
DTSTART:20201002T140000Z
DTEND:20201002T150000Z
DTSTAMP:20260423T021009Z
UID:LAGARTOS/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/7/"
 >Theta surfaces</a>\nby Bernd Sturmfels (MPI-Leipzig) as part of (LAGARTOS
 ) Latin American Real and Tropical 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 a
 re singular or reducible. Lie and Poincaré showed that theta surfaces are
  precisely the surfaces of double translation\, i.e. obtained as the Minko
 wski sum of two space curves in two different ways. These curves are param
 etrized by abelian integrals\, so they are usually not algebraic. We prese
 nt a new view on this classical topic through the lens of computation. We 
 discuss practical tools for passing between quartic curves and their theta
  surfaces\, and we develop the numerical algebraic geometry of degeneratio
 ns of theta functions. This is joint work with Daniele Agostini\, Turku Ce
 lik and Julia Struwe.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/7/
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