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On the wave representation of hyperbolic and elliptic Eisenstein series

Fri 01 March 2013, 14:00

Lejla Smajlovic
University of Sarajevo

Mathematical Physics

Organiser: Nina Snaith

ABSTRACT
We present our results on representation of scalar valued
hyperbolic and elliptic Eisenstein series as an integral transform in
the time variable of the kernel of the wave operator on finite volume
hyperbolic Riemann surface. An approach to QUE by means of
representation of parabolic Eisenstein series in terms of an integral
transform of an L^2 automorphic kernel is indicated.

We also indicate the method of constructing elliptic and hyperbolic
Eisenstein series in more general settings (e.g. symmetric spaces).

The work presented is joint with Jay Jorgenson from the City College
of New York and Anna-Maria von Pippich from the Humboldt University
Berlin.