We will discuss the derivation of the stable Arthur-Selberg trace formula. In the first lecture we will focus on anisotropic reductive groups, for which the trace formula can be derived easily. We will then discuss the stabilization of this trace formula, which is unconditional on the geometric side, and relies on the Arthur conjectures on the spectral side. In the second lecture we will sketch the case of an arbitrary reductive group, which causes many analytic difficulties. We will briefly describe the various stops on the road to the stable trace formula, including the coarse and fine expansions of the non-invariant trace formula, as well the invariant trace formula. Examples will be given for the group SL_2. Towards the end, we will discuss the application of the stable trace formula to the classification of representations of classical groups.
De Pierre-Henri Chaudouard
De Pierre-Henri Chaudouard
De Lucas Mason-Brown
De Xinwen Zhu
De Xinwen Zhu
De Xinwen Zhu
De Tasho Kaletha
De Bao Chau Ngo
De Bao Chau Ngo
De Tasho Kaletha
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Bao Chau Ngo
De Sam Raskin
De Sam Raskin
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jean-François Dat
De Jessica Fintzen
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jessica Fintzen
De Jean-François Dat
De Peter Scholze , Laurent Fargues
De David Ben-Zvi
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Viviane Pons
De Olivier Benoist
De Viviane Pons
