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SUMMARY:Khazhgali Kozhasov (Technical University Braunschweig)
DTSTART:20200430T162000Z
DTEND:20200430T165000Z
DTSTAMP:20260423T005702Z
UID:NASO/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NASO/20/">On
  Minimality of Determinantal Varieties</a>\nby Khazhgali Kozhasov (Technic
 al University Braunschweig) as part of Max Planck Institute nonlinear alge
 bra seminar online\n\n\nAbstract\nMinimal submanifolds are mathematical ab
 stractions of soap films: they minimize the Riemannian volume locally arou
 nd every point. Finding minimal algebraic hypersurfaces in 𝑅𝑛 for ea
 ch n is a long-standing open problem posed by Hsiang. In 2010 Tkachev gave
  a partial solution to this problem showing that the hypersurface of n x n
  real matrices of corank one is minimal. I will discuss the following gene
 ralization of this fact to all determinantal matrix varieties: for any m\,
  n and r<m\,n the (open) variety of m x n real matrices of rank r is minim
 al.\n
LOCATION:https://researchseminars.org/talk/NASO/20/
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