Positive geometry is an emerging area of applied mathematics with roots in complex and real algebraic geometry and algebraic combinatorics. Its concepts and methods are largely motivated by questions arising in theoretical physics, particularly particle physics and cosmology. At the same time, there is growing evidence that positive geometry has significant potential for applications beyond physics.

This three-day workshop will explore connections between positive geometry and applied real algebraic geometry, with a particular focus on semidefinite programming, the geometry of spectrahedra, and algebraic statistics. One of the main goals of the workshop is to encourage the exchange of ideas and techniques between these areas and to identify new directions for collaboration.

The program will include introductory lectures on positive geometry, providing accessible entry points for participants from related fields. It will also feature research talks by experts in positive geometry, applied real algebraic geometry, and algebraic statistics, as well as informal discussion sessions designed to foster interaction and exchange among participants.

Confirmed speakers:

• Timo de Wolff (TU Braunschweig)
• Elisenda Feliu (University of Copenhagen)
• Johannes Henn (Max Planck Institute for Physics)
• Kaie Kubjas (Aalto University)
• Mario Kummer (TU Dresden)
• Aida Maraj (Max Planck Institute for Molecular Cell Biology and Genetics)
• Chiara Meroni (ETH Zurich)
• Rainer Sinn (University of Göttingen)
• Máté Telek (Budapest University of Technology and Economics)

This activity is financially supported by the ERC Synergy Grant UNIVERSE+ www.positive-geometry.com, funded by the European Union (ERC, UNIVERSE PLUS, 101118787). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council Executive Agency. Neither the European Union nor the granting authority can be held responsible for them.