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Kickoff for Linear Spaces of Symmetric Matrices study group (31.07.2020)

Scientists at MiS and other institutes around the globe have just established a collaborative project that aspires to advance the understanding of linear spaces of symmetric matrices (LSSM). These objects appear simple at first, but a closer investigation from many contrasting perspectives prompts a variety of intriguing mathematical questions.

The more than 40 participants of the study group compiled them in a list aspirationally named "3264 Questions about Symmetric Matrices" and they plan to engage these problems in a series of papers. The project is coordinated by Orlando Marigliano, Mateusz Michałek, Kristian Ranestad, Tim Seynnaeve, and Bernd Sturmfels.

Some of the aspects under which LSSM will be scrutinized include

  • combinatorics
  • intersection theory
  • algebraic geometry
  • semidefinite programming
  • algebraic statistics
  • matroid theory
  • non-archimedian analysis
  • optimization
  • likelihood geometry

@mpiMathSci
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Jana Gregor
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Paul Heine
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Jörg Lehnert
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31.07.2020, 11:57