Study group on the Langlands program

Study group on the Langlands program
Spring term 2007

The first half of the spring term was devoted to some aspects of algebraic number theory relevant for the classical Langlands program.

We will now continue with an introduction to some topics from physics.

The aim is to prepare the ground for a reading of the papers from last year by Witten and collaborators on the connection between S-duality of topologically twisted, Euclidean quantum field theory and the geometric Langlands program.

All interested mathematicians and physicists are most welcome to participate.
Nobody is expected to have a strong background in everything.

Some useful references

E. Frenkel, "Lectures on the Langlands Program and Conformal Field Theory ".
A. Kapustin and E. Witten, "Electric-Magnetic Duality and the Geometric Langlands Program".
S. Gukov and E. Witten, "Gauge Theory, Ramification, and the Geometric Langlands Program".
J.-P. Serre, "A Course in Arithmetic", (Springer 1973).
J. W. S. Cassels and A. Fröhlich, "Algebraic Number Theory", (Academic Press 1967).
A. W. Knapp, "Introduction to the Langlands Program".
J. S. Milne, "Class Field Theory".
J.J. Duistermaat, "Principal Fiber Bundles".

Some related workshops and conferences at other institutions

Lecture schedule (subject to change)

day time place speaker title
12/1 11.00 O6103A planning
18/1 10.00 O6115 Oscar Marmon Galois theory
23/1 13.15 MV:F32 Alexander Stolin Local fields
26/1 13.15 O6115 Alexander Stolin Questions and examples
31/1 10.00 O6115 Alexander Stolin Local fields, cont.
7/2 10.00 O6115 Alexander Stolin Local class field theory
14/2 10.00 O6115 Alexander Stolin Local class field theory, cont.
28/2 10.00 O6115 Alexander Stolin Local class field theory, cont.
14/3 10.00 O6115 Måns Henningson Path integrals
16/3 13.00 MV:L14 Måns Henningson Questions and Answers
20/3 10.00 MV:F23 Måns Henningson Principal and associated bundles, connections
27/3 10.00 MV:F23 Måns Henningson Yang-Mills theory
17/4 10.00 MV:F23 Måns Henningson Spin geometry
24/4 10.00 MV:F23 Måns Henningson Supersymmetry
8/5 10.00 MV:F23 Måns Henningson Topological twisting
15/5 10.00 MV:F23 Måns Henningson S-duality

day	time	place	speaker	title
12/1	11.00	O6103A		planning
18/1	10.00	O6115	Oscar Marmon	Galois theory
23/1	13.15	MV:F32	Alexander Stolin	Local fields
26/1	13.15	O6115	Alexander Stolin	Questions and examples
31/1	10.00	O6115	Alexander Stolin	Local fields, cont.
7/2	10.00	O6115	Alexander Stolin	Local class field theory
14/2	10.00	O6115	Alexander Stolin	Local class field theory, cont.
28/2	10.00	O6115	Alexander Stolin	Local class field theory, cont.
14/3	10.00	O6115	Måns Henningson	Path integrals
16/3	13.00	MV:L14	Måns Henningson	Questions and Answers
20/3	10.00	MV:F23	Måns Henningson	Principal and associated bundles, connections
27/3	10.00	MV:F23	Måns Henningson	Yang-Mills theory
17/4	10.00	MV:F23	Måns Henningson	Spin geometry
24/4	10.00	MV:F23	Måns Henningson	Supersymmetry
8/5	10.00	MV:F23	Måns Henningson	Topological twisting
15/5	10.00	MV:F23	Måns Henningson	S-duality

This page is maintained by Måns Henningson, mans@fy.chalmers.se. Last revised on May 16, 2007.