Real algebraic geometry with a view toward Koopman operator methods. Abstracts from the workshop held March 12–17, 2023. (English) Zbl 1525.00020
Summary: This workshop was dedicated to the newest developments in real algebraic geometry and their interaction with convex optimization and operator theory. A particular effort was invested in exploring the interrelations with the Koopman operator methods in dynamical systems and their applications. The presence of researchers from different scientific communities enabled an interesting dialogue leading to new exciting and promising synergies.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 14-06 | Proceedings, conferences, collections, etc. pertaining to algebraic geometry |
| 14Pxx | Real algebraic and real-analytic geometry |
| 12D15 | Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) |
| 13J30 | Real algebra |
| 14M12 | Determinantal varieties |
| 14Q30 | Computational real algebraic geometry |
| 37M25 | Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) |
| 44A60 | Moment problems |
| 46N10 | Applications of functional analysis in optimization, convex analysis, mathematical programming, economics |
| 47A57 | Linear operator methods in interpolation, moment and extension problems |
| 49M29 | Numerical methods involving duality |
| 49N35 | Optimal feedback synthesis |
| 52A20 | Convex sets in \(n\) dimensions (including convex hypersurfaces) |
| 52A27 | Approximation by convex sets |
| 52A41 | Convex functions and convex programs in convex geometry |
| 90C22 | Semidefinite programming |
| 90C25 | Convex programming |
| 90C26 | Nonconvex programming, global optimization |
| 93B28 | Operator-theoretic methods |
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