Real Algebraic Geometry With a View Toward Hyperbolic Programming and Free Probability
1-7 March 2020
Mathematisches Forschungsinstitut Oberwolfach (MFO),
Germany
Scope
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