The Langlands program and conformal field theory

In this (informal) reading group, we will work through the ‘‘Lectures on the Langlands program and conformal field theory’’ by Edward Frenkel.
Confirmed participants

We will meet weekly on Mondays at 14:00, except for the first session which will be on Friday the 25th of October at 15:30.
We will meet in person at the TU Chemnitz in room C46.633, but the sessions will be organized hybridly with online access via Zoom here.
The idea of this informal reading group is to read a section of the lecture notes in each session of 1 hour. Although it will be appreciated if the volunteering speakers read their assigned sections beforehand, we do not expect highly-polished talks, instead preferring a casual discussion of the text during the session.

Please email Peter Spacek (peter.spacekmath.tu-chemnitz.de) to be kept up-to-date with all information, including the passcode to the online meetings.

The confirmed meeting dates are:

• Friday 25.10. at 15:30, Introduction to the Langlands program and conformal field theory (Intro), by Peter Spacek - Notes: PDF
• Monday 28.10. at 14:00, Basics of number theory: Galois groups and abelian class field theory (I.1.1-2), by Peter Spacek - Notes: PDF
• Monday 04.11. at 14:00, Number theory continued: Frobenius automorphisms and rigification of ACFT (I.1.3-4), by Marwan Benyoussef - Notes: PDF
• No session on Monday 11.11. due to absence of planned speaker
• Monday 18.11. at 14:00, Non-abelian generalizations, modular forms and Galois representations (I.1.5-7?), by Henry Dakin - Notes: PDF
• No session on Monday 25.11. due to absence of multiple attendees
• Monday 02.12. at 14:00, Function fields and Galois representations (I.2.1-2), by Emeryck Marie - Notes: PDF
• Monday 09.12. at 14:00, Automorphic representations and the Langlands correspondence (I.2.3-4), by Emeryck Marie - Notes: PDF
• No sessions on Monday 16., 23. and 30.12., as well as 06.01 due to Christmas break
• Monday 13.01. at 14:00, Local systems and vector bundles (II.3.1-2), by Chamir Ngandjia - Notes: PDF
• Monday 27.01. at 14:00, Perverse sheaves, D-modules, Hecke eigensheaves and geometric Langlands (II.3.3-8), by Chamir Ngandjia - Notes: PDF
• Monday 03.02. at 14:00, Geometric abelian class field theory (II.4.1-3?), by Andreas Hohl - Notes: PDF
• No session on Monday 10.01. due to Dupont's lecture series in MPI MIS Leipzig
• Monday 17.02. at 14:00, Connection to the Fourier-Mukai transform (II.4.4-5), by Henry Dakin - Notes: PDF
• Monday 24.02. at 14:00, The Langlands correspondence for arbitrary reductive groups (II.5.1-3), by Emeryck Marie - Notes: PDF; Recording: MP4
• Monday 03.03. at 14:00, The geometric Satake equivalence (II.5.4-6), by Marwan Benyoussef - Notes: PDF
• No session on Monday 10.03. due to inavailability of the speaker
• Monday 17.03. at 14:00, Geometric Langlands for general reductive groups and the non-abelian Fourier-Mukai transform (II.6.1-4), by Peter Spacek - Notes: PDF
• Sessions suspended until the start of the Summer term
• Friday 11.04. at 13:45, Sheaves of conformal blocks (III.1.1-3), by ???
• Friday 18.04. at 13:45, The WZW D-module, by ???
• Continue with Part III The conformal field theory approach in the next semester