BonnParis hybrid workgroup on automorphic forms (20212022)
Microlocal methods in automorphic forms

The aim of this workgroup is to understand the recent use of microlocal methods in the theory of automorphic forms, most notably in the works of Nelson and NelsonVenkatesh.
 Stanford course notes by Akshay Venkatesh on geometric quantization
 The following paper of Nelson and Venkatesh
 The following paper of Nelson The idea of this learning group is to go through the Stanford course notes during the first semester, and then tackle the NelsonVenkatesh paper in the second semester.
 October 7 (Farrell Brumley): Introduction, part I (sections 12 of the Stanford notes)
 October 14 (Farrell Brumley): Introduction, part II (sections 12 of the Stanford notes)
 October 21 (Valentin Blomer): Pseudodifferential operators (section 3 of the Stanford notes)
 October 28 (Edgar Assing): The Kirillov paradigm for the Heisenberg group (section 4 of the Stanford notes)
 November 11 (Thibaut Ménès): The Stonevon Neumann theorem (section 5 of the Stanford notes)
 November 18 (Subhajit Jana): The Weil representation I (section 6 of the Stanford notes)
 November 25 (Bart Michels): The Weil representation II (section 6 of the Stanford notes)
 December 2 (Asbjørn Nordentoft): Nilpotent groups (section 7 of the Stanford notes)
 December 9 (Petru Constantinescu) : Background on symplectic geometry (section 8 of the Stanford notes)
 December 16 (Radu Toma) : DuistermaatHeckman localization (section 9 of the Stanford notes)
 January 13 (Edgar Assing) : The Kirillov formula for U(n) (section 10 of the Stanford notes)
 January 20 (Louis Ioos) : Holomorphic quantisation (section 12 of the Stanford notes)
 March 3 (Valentin Blomer): Overview and sketch (Section 28 of NV)
 March 10 (Farrell Brumley): Microlocal analysis I (Part I of NV)
 March 17 (Farrell Brumley): Microlocal analysis II (Part II of NV) Lecture notes
 March 24 (Edgar Assing): Limiting states (Section 26 of NV)
 March 31 (Farrell Brumley and Edgar Assing): Loose ends
 April 7 (Philippe Michel): Equidistribution and Ratner's theorem, I (Section 27 of NV)
 April 14 (Philippe Michel): Equidistribution and Ratner's theorem, II (Section 27 of NV)
 April 21 (Bart Michels): Stability (sections 1314 of NV)
 April 28 (Asbjørn Nordentoft): Satake parameters and Lfunctions (section 15 of NV)
 May 5 (Louis Ioos) : Volume forms, measures and integrals (sections 1617 of NV)
 May 12 (Subhajit Jana) : Inverse branching and asymptotic I (sections 18, 19 and 22 of NV)
 May 19 (Subhajit Jana) : Inverse branching and asymptotic II (sections 18, 19 and 22 of NV)
The relevant sources are
Here is a schedule of the talks for Part I.
All talks are on Thursdays, from 34:30pm Central European time. Email me or Valentin Blomer for the Zoom link.
Here is the schedule for Part II, on the paper of NelsonVenkatesh.
All talks will be from 4:306pm Paris local time. Email me or Valentin Blomer for the Zoom link.