François Loeser - Geometry on arc spaces
Channel: Institut des Hautes Études Scientifiques (IHÉS)
Date: 16/06/2017

Abstract:
Arc spaces play a central place in recent developments in singularity theory and birational geometry, most notably  through  motivic  integration.   The  aim  of  this  talk  is  to  present  an  overview  of  some  recent  results  about  the structure of arc spaces of singular varieties.  Taking as a guiding thread a geometric lemma of Denef and myself going back to the early days of motivic integration, I will present some recent work of Reguera, Bouthier - Kazhdan and de Fernex - Docampo.