Séminaire de Géométrie Tropicale

Institut Mathématiques de Jussieu ,
Université Pierre et Marie Curie, Paris 6
UMR CNRS 7586



Mercredi 18 mai 2016 14h salle 1525-502



Johannes Nicaise (Imperial College, London)

Geometric invariants of non-archimedean semialgebraic sets

Résumé :
Semi-algebraic sets over non-archimedean fields appear naturally in tropical and non-archimedean geometry. I will explain how one can use Hrushovski and Kazhdan's theory of motivic integration to attach geometric invariants to these semi-algebraic sets. In a joint project with Sam Payne and Franziska Schroeter, we use this construction to find geometric interpretations for the refined curve counting invariants of Göttsche and Shende and the corresponding refined tropical multiplicities of Block and Göttsche.