Alexey Parshin mini course "Representation theory and arithmetic of twodimensional schemes" (November 17–20, 2009, PDMI, St. Petersburg)
1. A survey of adelic theory for twodimensional 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 twodimensional schemes.
Organisations
St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences 



Alexey Parshin mini course "Representation theory and arithmetic of twodimensional schemes", St. Petersburg, November 17–20, 2009 


November 17, 2009 

1. 
Representation theory and arithmetic of twodimensional schemes. I A. N. Parshin November 17, 2009 18:00, St. Petersburg, PDMI






November 19, 2009 

2. 
Representation theory and arithmetic of twodimensional schemes. II A. N. Parshin November 19, 2009 15:30, St. Petersburg, PDMI






November 20, 2009 

3. 
Representation theory and arithmetic of twodimensional schemes. III A. N. Parshin November 20, 2009 15:30, St. Petersburg, PDMI





