Langland's Program Study Group

Welcome to the website for the Langlands Program Study Group being run between Bristol and Warwick in the Spring of 2011.

Talks take place in the TCC rooms at Bristol and Warwick at 1 pm on Tuesday afternoons.

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Talks

17th May
Dave Mendes da Costa (Bristol)
"Why be interested in L-functions?"

26th May
David Holmes (Warwick)
"Analytic Continuation and Functional Equations"

31th May
Jo Dwyer (Bristol)
"Modular and Automorphic Forms"

7th June
Barinder Banwait (Warwick)
"Über eine neue Art von L-Reihen"

14th June/21st June
Jenny Cooley (Warwick) / Mike Swarbrick Jones (Bristol)
"Adeles and Ideles"

5th July
Siu-Lun Alan Lee (Bristol)
"Hecke Größencharakters and their Idèlic Interpretations"

12th July
Eugen Keil (Bristol)
"Fourier analysis on locally compact groups"

26th July
Thomas Bloom (Bristol)
"Harmonic Analysis on Number Fields"

9th August
Mike Swarbrick Jones (Bristol)
"Tate's Thesis I : The Local Case"

16th August
Dave Mendes da Costa (Bristol)
"Tate's Thesis II : The Global Case"

23th August
Jenny Cooley (Bristol)
L-functions on Elliptic Curves and Modularity

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Resources

Artin's L-functions : A historical approach
This is the third year dissertation which throughly covers L-functions from Euler to Artin. A great introduction.

Introduction to L-functions
These are detailed course notes (with exercises) which cover much of the analytic number theory which L-functions are used for. Notably, this includes material and proofs on the Converse Theorems.

An Elementary Introduction to the Langlands Program
A survey paper written by Stephen Gelbart, published in the Bulletin of the AMS.

Harmonic Analysis on Number Fields
This is a masters thesis which covers Tate's thesis. As well as proving the results which Tate shows, it also includes a lot of the prerequisite material. I found this a clear introduction to harmonic analysis.

Automorphic Forms Online References

An Introduction to zeta and L-functions from Arithmetic Geometry and some Applications
Notes written by Marc Hindry.

The work of Robert Langlands : Functorality
A page containing copies of the papers of Robert Langlands relelvant to the Langlands Program. Included are letters from Langlands to Serre and Weil.