A universal motivic invariant of birational maps
Apparaît dans la collection : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1
(Joint work in progress with E. Shinder).We will introduce Grothendieck groups of pairs and explain their relations with the motivic invariants of birational maps. In particular, our construction provides a motivic perspective on the invariants of birational maps introduced by Genevois,Lonjou, and Urech based on median geometry.