The Langlands program and adelic theory
May 15 - June 15, 2013
Euler International Mathematical Institute,
St. Petersburg, Russia
Lecture Shedule
May 15, Wednesday, PDMI, 311
A. Smirnov, 17.00 -18.30, Lecture 1 - The Global and Local Fields, Adeles and Ideles.
S. Gorchinskiy, 19.00 - 20.30, Lecture 1 - Smooth representations of 1-groups.
May 17, Friday, 17.00 -18.30, PDMI, 311
S. Gorchinskiy, Lecture 2 - Irreducible smooth representations.
May 18, Saturday, 11.00 - 12.30, PDMI, 311
S. Gorchinskiy, Lecture 3 - Reductive groups over local fields.
May 21, Tuesday, 18.00 -19.30, PDMI, 311
A. Smirnov, Lecture 2 - The Galois Сohomology.
May 23, Thursday, 17.00 -18.30, PDMI, 311
S. Gorchinskiy, Lecture 4 - Quasicuspidal representations.
May 24, Friday, 17.00 -18.30, PDMI, 311
A. Smirnov, Lecture 3 - The Local Class Field Theory.
May 25, Saturday, PDMI, 311
S. Gorchinskiy, 11.00 - 12.30, Lecture 5 - Bernstein components.
A. Smirnov, 13.00 - 14.30, Lecture 4 - The Global Class Field Theory.
May 28, Tuesday, 18.00 - 19.30, PDMI, 311
A. Smirnov, Lecture 5 - The Weil Groups and the Hecke Characters.
May 30, Thursday, 10.00 - 11.30, Chebyshev Lab, 11
J-P. Labesse, Lecture 1 - From Modular forms to Automorphic representations. Spectral decomposition of the space of automorphic forms.
May 31, Friday, 10 -- 11-30, Chebyshev Lab, 11
J-P. Labesse, Lecture 2 - The Langlands correspondence. Application to Base change and Automorphic induction..
June 1, Saturday, 11.00 - 12.30, PDMI, 311
A. Parshin, Lecture 1 - Adeles and class field theory for algebraic surfaces (unramified case).
June 4, Tuesday, 11.00 - 12.30, PDMI, 311
J-P. Labesse, Lecture 3 - Arthur-Selberg trace formula. The twisted case.
June 5, Wednesday, 17.00 - 18.30, PDMI, 311
J-P. Labesse, Lecture 4 - Particular cases of twisted endoscopy: Transfer of orbital integrals and Fundamental lemma for base change and automorphic induction.
June 6, Thursday, 17.00 - 18.30, PDMI, 311
A. Parshin, Lecture 2 - Direct image conjecture (properties of the automorphic induction) and implications for zeta- and L-functions.
June 7, Friday, 10.00 - 11.30, PDMI, 311
J-P. Labesse, Lecture 5 - Base change and Automorphic induction: Statement of the results. Sketch of the proofs.
June 8, Saturday, 11.00 - 12.30, PDMI, 311
A. Parshin, Lecture 3 - Relation with Lafforgue theorem on the Langlands correspondence on algebraic curves.