Ruprecht-Karls-Universität Heidelberg
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„Periods and equidistribution in number theory“
Prof. Philippe Michel, Université Lausanne, Schweiz

In this talk we review several classical arithmetic equidistribution problems associated to arithmetic homogeneous spaces (a typical example is the study of the distribution of the projection to the unit sphere of integral vectors of given length, ergodic theory on locally homogeneous spaces, as the length grows). These questions are tightly related to rather different fields including analytic number theory, automorphic representations, their periods and associated $L$-function and to ergodic theory. We will present new results on that topics, especially ones inspired by the "ergodic method" of Linnik. These are joint work with Manfred Einsiedler, Elon Lindenstrauss and Akshay venkatesh.

Donnerstag, den 5. Juli 2012 um 17 c.t. Uhr, in INF 288, HS1 Donnerstag, den 5. Juli 2012 at 17 c.t., in INF 288, HS1

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Kohnen