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Real Algebraic Geometry With a View Toward Moment Problems and Optimization

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5-11 March 2017

Mathematisches Forschungsinstitut Oberwolfach (MFO),
Germany

## Scope

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

## Date and venue

The workshop takes place from Monday 6 to Friday 10 March 2017
at MFO, Oberwolfach, Germany.

## Discussion about gender equality in mathematics

In celebration of International Women's Day on the 8th of March 2017, we organized an informal discussion about gender equality in mathematics. The results of this discussion are collected in a report.

## Scientific programme

**Monday March 6**

9.15-10.05.
Marie-Françoise Roy (Univ. Rennes, FR). Algebraic representation of positive polynomials.

10:30-11:20.
Sergio Albeverio (Univ. Bonn, DE). Infinite dimensional moment problems in quantum field theory and stochastic analysis.

11:45-12:25.
Antonio Lerario (Univ. Trieste, IT). Convex bodies in real enumerative geometry.

16:00-16:50.
Michael Dritschel (Univ. Newcastle, UK). Relations to operator theory and free positivity.

17:00-17:40.
David de Laat (CWI Amsterdam, NL). High precision computation for energy minimization.

17:50-18:30.
Claus Scheiderer (Univ. Konstanz, DE). Existence of semidefinite representations.
**Tuesday March 7**

9.15-10.05.
Christian Berg (Univ. Copenhagen, DK). Moment problems in one and several dimensions with special emphasis on the indeterminate case.

10:30-11:20.
Levent Tunçel (Univ. Waterloo, CA). Polynomial optimization with a focus on hyperbolic polynomials.

11:45-12:25.
Maria João Oliveira (Univ. Lisboa, PT). An infinite dimensional umbral calculus.

16:00-16:50.
Igor Klep (Univ. Auckland, NZ). Free real algebraic geometry.

17:00-17:40.
Mario Kummer (MIP Leipzig, DE). Hyperbolicity of projective varieties.

17:50-18:30.
Rainer Sinn (Georgia Tech Atlanta, USA). Sums of squares on projective varieties.
**Wednesday March 8**

9:15-10:05.
Raúl Curto (Univ. Iowa, USA). Truncated moment problems: an introductory survey.

10:30-11:20.
Tobias Kuna (Univ. Reading, UK). Infinite dimensional moment problem and its application to dynamic hierarchies in statistical mechanics.

11:45-12:25.
Charu Goel (IISER Mohali, IN). Invariant nonnegative forms as sums of squares.
**Thursday March 9**

9:15-10:05.
Monique Laurent (CWI Amsterdam, NL). Tracial polynomial optimization for bounding matrix factorization rank.

10:30-11:10.
Petter Brändén (KTH Stockholm, SE). van der Waerden and Kadison-Singer conjectures with symmetries.

11:35-12:15.
Jordan Stoyanov (Univ. Ljubljana, SI). Moment determinacy of probability distributions.

16:00-16:40.
Greg Blekherman (Georgia Tech. Atlanta, USA). Core variety of a linear functional and truncated moment problem.

16:55-17:35.
Larry Fialkow (State Univ. New York, USA). Some open questions in the truncated K-moment problem.

17:50-18:30.
Joe Ball (Virgina Tech. Blacksburg, USA). Robust control, structured uncertainty and LMIs.
**Friday March 10**

9:00-9:40.
Cynthia Vinzant (North Carolina State Univ. Raleigh, USA). Reciprocal linear spaces and their Chow forms.

10:00-10:40.
Bruce Reznick (Univ. Illnois Urbana-Champaign, USA). Power sum inequalities, positive polynomials, the moment problem and some of that old time computation.

10:50-11:30.
Jurij Volčič (Univ. Auckland, NZ). Free loci of matrix pencils.

11:45-12:25.
Konrad Schmüdgen (Univ. Leipzig, DE). Truncated moment problem: set of atoms, Caratheodory numbers.

16:00-16:40.
Gregory Knese (Washington Univ. Saint Louis, USA). Moment problems on T2.

16:55-17:35.
Eugene Lytvynov (Swansea Univ., UK). Moments of random discrete measures.

17:45-18:25.
Scott McCullough (Univ. Florida Gainesville, USA). Bianalytic maps between two spectrahedra.

Last updated on April 25, 2017.