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Alexey Parshin mini course "Representation theory and arithmetic of two-dimensional schemes"
(November 17–20, 2009, PDMI, St. Petersburg)

1. A survey of adelic theory for two-dimensional schemes. Algebraic surfaces over finite fields and arithmetical surfaces.

2. Discrete nilpotent groups arising from the adelic groups.

3. Representations of discrete Heisenberg groups. Moduli of induced representations. Characters as Jacobi forms on the moduli spaces.

4. Harmonic analysis on discrete groups and complex tori. Poisson formula as a sum of residues. Relation with explicit formulas.

5. Applications to unramified $L$-functions of two-dimensional schemes.



Organisations
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences


Important: the list below includes presentations with video-materials only
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Alexey Parshin mini course "Representation theory and arithmetic of two-dimensional schemes", St. Petersburg, November 17–20, 2009

November 17, 2009 (Tue)
1. Representation theory and arithmetic of two-dimensional schemes. I
A. N. Parshin
November 17, 2009 18:00, St. Petersburg, PDMI
A. N. Parshin
  

November 19, 2009 (Thu)
2. Representation theory and arithmetic of two-dimensional schemes. II
A. N. Parshin
November 19, 2009 15:30, St. Petersburg, PDMI
A. N. Parshin
  

November 20, 2009 (Fri)
3. Representation theory and arithmetic of two-dimensional schemes. III
A. N. Parshin
November 20, 2009 15:30, St. Petersburg, PDMI
A. N. Parshin
  
 
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