![[zegel]](zeglwit.gif)
Local Number Theory Seminar2003
SHIMURA VARIETIES
Shimura varieties play an important role in arithmetic geometry.
Prominent examples are moduli spaces of abelian
varieties. The concept of a Shimura variety enables us to reformulate
CM-theory in a very convenient way.
Talks:
Monday 12/05/2003
Robert Carls - Adelic description of moduli
of abelian varieties I
Monday 19/05/2003
Robert Carls - Adelic description of moduli
of abelian varieties II (Robert's handout)
Monday 26/05/2003
Gabor Wiese - Explicit adelic description of
moduli of elliptic curves and natural Galois action
Monday 02/06/2003
Gabor Wiese - Galois action on moduli of
elliptic curves with complex multiplication and class field theory
(Gabor's handout (1))
Wednesday 11/06/2003
Theo van den Bogaart - Deligne's definition of a
Shimura variety I
Monday 13/10/2003
Theo van den Bogaart - Deligne's definition of a
Shimura variety II (Theo's handout)
Monday 27/10/2003
Gabor Wiese - Open problems: CM-types acting on
class groups (Gabor's handout (2))
Monday 10/11/2003
Robert Carls - Galois action on CM-moduli of
abelian varieties
Literature
- P.Deligne: Variétés de Shimura,
interprétation modulaire, et techniques de construction de
modèles canoniques,
in Automorphic forms, representations and L-functions, Part 2,
pp. 247--289, Proc. Sympos. Pure Math. XXXIII,
Amer. Math. Soc., 1979
- B.Edixhoven: On
the Andre-Oort conjecture for Hilbert modular surfaces, 2000
- J.Milne: Canonical
models of Shimura curves, 2003
Last modified: 30th of September 2004
Maintained by Robert
Carls