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Daily Overview |
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RAG4: Real Algebraic Geometry Location: M629 Session Chair: Daniel Plaumann Session Chair: Claus Scheiderer | |
| Presentation 2 | |
Tropicalizations in o-minimal geometry MPI CBG, Germany We investigate foundational questions in the study of tropicalizations of semialgebraic sets, and more generally of definable sets in a polynomially bounded o-minimal structure. Our motivations come from the study of the complexity of representations of positive polynomials, from the sudy of bounded ratios for Lorenzian matrices, and from Strassen’s theory of the asymptotic spectrum. We use techniques from model theory and real algebraic geometry to prove the Foundamental Theorem of Tropical O-minimal Geometry. We discuss initial degenerations and initial preorders, and apply our results to study the geometry of (irrational) toric varieties. Based on a joint work with M. Telek. | |



