Fachbereich 10 - Mathematik und Informatik
Mathematisches Institut
Prof. Dr. C. Deninger

Arithmetische algebraische Geometrie

Im Vordergrund der Untersuchungen standen dynamische Kohomologien, dynamische Spurformeln, die Bloch-Kato-Vermutung sowie die Theorien der Höhen und der Gebäude.

Drittmittelgeber:

DFG, EG

Beteiligte Wissenschaftler:

Prof. Dr. C. Deninger, Dr. habil. G. Kings, Dipl.-Math. N. Naumann, Dr. habil. A. Werner

Veröffentlichungen:

Deninger, C: On the Gamma-factors of motives II, Doc. Math. 6 (2001), 67-95

Deninger, C., Singhof, W.: A note on dynamical trace formulas. In: M.L. Lapidus, M. Van Frankenhuysen (eds.), Dynamical Spectral and Arithmetic Zerta-Functions. In : AMS Comtemp. Math. 290, 41-55

Deninger, C.: Number theory and dynamical systems on foliated spaces, Jber. d. Dt. Math.-Verein. 103 (2001), 79-100

Deninger, C., Singhof, W.: Real polarizable Hodge structures arising from foliations. Annals of Global Analysis and Geometry 21 (2002), 377-399

Deninger, C.: A note on arithmetical topology and dynamical systems, In: S. Vostokov, Y. Zarhin (eds.), Algebraic Number Theory and Algebraic Geometry, Papers dedicated to A.N. Parshin on the Occasion on his Sixtieth Birthday, contemporary Mathematics 300 (2002), 99-114

Kings, G.: The Tamagawa number conjecture for CM elliptic curves, Invent. Math. 143 (2001), 571-627

Kings, G., Huber, A.: The equivariant Bloch-Kato conjecture and non-abelian Iwasawa main-conjecture, Proceedings of the ICM 2002

Werner, A.: Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank, Documenta Math. 6 (2001), 315-342

Werner, A.: Non-archimedean intersection indices on projective spaces and the Bruhat-Tits building for PGL, Ann. Inst. Fourier 51 (2001), 1483-1505

Werner, A.: Arakelov intersection indices of linear cycles and the geometry of buildings and symmetric spaces, Duke Math. J. 111 (2002), 319-355

Werner, A.: Elliptische Kurven in der Kryptographie, Springer Verlag 2002