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Noncommutative geometry on Q-spaces of Q-lattices

Tuesday 1st August 2006 - 10:00 to 11:00
INI Seminar Room 1

This is joint work, in progress, with A. Connes on the complex geometry of the quotient space of rank 2 Q-lattices modulo commensurability. It builds on our prior work on modular Hecke algebras and their Hopf symmetry, and on the Connes-Marcolli C*-algebraic framework for Q-lattice spaces.

The emerging spectral-geometric picture, modeled on the transverse geometry of a generic codimension 1 foliation, has notable arithmetic overtones.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons