Forschungsseminar "Arithmetische Geometrie"

Sommersemester 2008


22.04.2008  Jorge A. Pineiro (City Univ. of New York)
Heights and algebraic dynamics
29.04.2008 Jürg Kramer (HU Berlin)
Spectral expansion of hyperbolic Eisenstein series
06.05.2008 Anna von Pippich (HU Berlin)
Elliptic Eisenstein series for PSL_2(Z)
13.05.2008 Elmar Große-Klönne (HU Berlin)
On the crystalline monodromy-weight conjecture for p-adically uniformized varieties
20.05.2008 Vladimir Berkovich (Weizmann Institute/MPI Bonn)
Analytic geometry over the field of one element
27.05.2008 Bernhard Heim (MPI Bonn)
On the Modularity of the GL_2-twisted Spinor L-function
Abstract: There are famous theorems on the modularity of Dirichlet series with Euler product attached to geometric or arithmetic objects. There is Hecke's converse theorem, Wiles proof of the Taniyama-Shimura conjecture, and Fermat's Last Theorem to name a few. In this talk in the spirit of the Langlands philosophy we raise the question on the modularity of the GL_2-twisted spinor L-function L(s,G \otimes h) related to automorphic forms G, h on the symplectic group with similitues GSp(4) of degree 2 and GL_2. This leads to several promising results and finally culminates into a precise very general conjecture. This gives new insides into the Miyawaki conjecture on spinor L-functions of modular forms. We indicate how this topic is related to Ramakrishnan's work on the modularity of the Rankin-Selberg L-series.
03.06.2008 Tobias Hahn (ETH Zürich)
Arithmetic Riemann Roch theorem for modular curves
04.06.2008 Daniel Garbin (CUNY Graduate Center, New York)
Spectral convergence of elliptically degenerated Riemann surfaces
10.06.2008 Probevorträge für die Sommerschule des GRK
H. Mayer, A. Posingies, D. Skodlerack
01.07.2008 Riccardo Salvati Manni (Universita La Sapienza, Roma I)
The loci of abelian varieties with singular points of order two on the theta divisor
08.07.2008 Laura Hinsch (Univ. Göttingen)
Projective spaces and sheaves of modules on F_1
15.07.2008 Andrea Miller (Harvard Univ.)
Chow-Künneth decompositions for some mixed Shimura varieties