Real Algebraic Geometry With a View Toward Hyperbolic Programming and Free Probability

1-7 March 2020
Mathematisches Forschungsinstitut Oberwolfach (MFO), Germany


This is a workshop organized by Didier Henrion, Salma Kulhmann, Roland Speicher and Victor Vinnikov, as a follow-up of a previous workshop.

Date and venue

The workshop takes place on March 1-7, 2020 at MFO, Oberwolfach, Germany.

Scientific programme

Monday March 2

  • 9.15-10.05. Vicky Powers (Emory Univ Atlanta, USA) - Positive Polynomials and The Moment Problem
  • 10.30-11.20. Daniel Plaumann (Tech Univ Dortmund, Germany) - Geometry of hyperbolic polynomials
  • 11.45-12.25. Markus Schweighofer (Univ Konstanz, Germany) - Spectrahedral relaxations of hyperbolicity cones
  • 16.00-16.50. Andreas Thom (Tech Univ Dresden, Germany) - An Introduction to Non-Commutative Real Algebraic Geometry and Applications
  • 17.00-17.40. Bashir El Khadir (Princeton Univ, USA) - On sum of squares representation of convex forms and generalized Cauchy-Schwarz inequalities
  • 17.50-18.30. David Kimsey (Newcastle Univ, UK) - The moment problem on curves with bumps

    Tuesday March 3

  • 9.15-10.05. Petter Branden (KTH Stockholm, Sweden) - Hyperbolic and Lorentzian polynomials
  • 10.30-11.20. Serban Belinschi (IMT-CNRS Toulouse, France) - Free probability
  • 11.45-12.25. Malte Gerhold (Univ Greifswald, Germany) - Applications of free probability to dilation theory
  • 16.00-16.50. Mohab Safey El Din (Sorbonne Univ, Paris) - Some computational aspects of real algebraic geometry
  • 17.00-17.40. Tobias Kuna (Univ Reading, UK) - Projective limit techniques for the infinite-dimensional moment problem
  • 17.50-18.00. Michael Hartz (Univ Saarland Saarbrucken, Germany) - Inner-outer factorizations using free analysis.
  • 18.05-18.15. Patrick Michalski (Univ Konstanz, Germany) - When Jacobi meets Nussbaum.
  • 18.20-18.30. Khazhgali Koshasov (Tech Univ Braunschweig, Germany) - On morphisms of projective line with only real periodic points

    Wednesday March 4

  • 9.15-10.05. Tobias Mai (Univ Saarland Saarbrucken, Germany) - Free probability: operatory theoretic aspects and regularity properties of noncommutative distributions
  • 10.30-11.20. Monique Laurent (CWI Amsterdam, The Netherlands) - Polynomial optimization with sums of squares and moments
  • 11.40-12.20. Konrad Schmudgen (Univ Leipzig, Germany) - A new approach to the infinite-dimensional moment problem
  • 20.00-20.10. Joe Ball (Virginia Tech, USA) - A decomposition theorem for noncommutative kernels.
  • 20.15-20.25. Christoph Schulze (Univ Konstanz, Germany) - Cones of locally nonnegative polynomials.
  • 20.30-20.40. Sheng Yin (Univ Saarland Saarbrucken, Germany) - Some applications of free probability to noncommutative algebra theory

    Thursday March 5

  • 9.15-10.05. Frank Vallentin (Univ Koln, Germany) - LP and SDP bounds for packing and energy minimization
  • 10.30-11.20. Jurij Vocic (Texas A&M Univ, USA) - Factorization of noncommutative polynomials in free real algebraic geometry
  • 11.45-12.25. David Jekel (Univ California Los Angeles, USA) - Results and questions about entropy and transport for noncommutative laws
  • 16.00-16.50. James Sauderson (Monash Univ, Australia) - Hyperbolic programming and certifying nonnegativity
  • 17.00-17.40. Tim Netzer (Univ Klagenfurt, Austria) - Free convex hulls of quantum permutations
  • 17.50-18.30. Mareike Dressler (Univ California at San Diego, USA) - Global optimization via the dual SONC cone and linear programming

    Friday March 6

  • 9.15-9.55. Ian Charlesworth (Univ California at Berkeley, USA) - Free Stein Irregularity
  • 10.20-11.00. Bruce Reznick (Univ Illinois at Urbana Champaign, USA) - Lattice points in dilated simplices and sums of squares
  • 11.20-12.00. Greg Blekherman (Georgia Tech Atlanta, USA) - What moment inequalities can be learned via sums of squares ?
  • 14.00-14.40. Victor Magron (LAAS-CNRS Toulouse, France) - Sparse Noncommutative Polynomial Optimization
  • 14.50-15.30 Mario Kummer (Tech Univ Berlin, Germany) - Positive Ulrich Sheaves