Zeta functionsDecember 15, 2008, Moscow, Russia 

Michel L. Lapidus University of California Riverside, USA lapidus (at) math.ucr.edu Fractal Geometry and Number Theory: Zeta Functions and Complex DimensionsIn this talk, we will give an overview of aspects of the theory of complex fractal dimensions, geometric zeta functions, and fractal strings, as developed in the recent (joint) monograph [1] (and in a number of earlier and later research papers). If time permits, we will also discuss aspects of the theory developed in the author’s recent book [2], in which is proposed a new approach to the Riemann hypothesis, based in part on the moduli space of fractal membranes and the expected properties of the associated (but still conjectural) modular flow. References:
Go to the Laboratoire Poncelet home page. 

