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Equidistribution: number theory and dynamics

Titel der Veranstaltung Equidistribution: number theory and dynamics
Reihe MathematischeGesellschaft
Veranstalter Mathematisches Institut
Referent/in Prof. Dr. Valentin Blomer
Einrichtung Referent/in Universität Bonn
Veranstaltungsart Kolloquium
Kategorie Forschung
Anmeldung erforderlich Nein
Beschreibung The modular curve X, i.e. the upper half plane modulo the action of the group of the SL(2, Z), is a Riemannian manifold with a lot of arithmetic structure. A famous theorem of Duke states that so-called Heegner points with growing discriminant become equidistributed on X. Likewise, low-lying horocycles or closed geodesics of growing length become equidistributed. In this talk, I will focus on mixing properties of such equidistribution results. As a protoype I consider two horocycles of different speeds and investigate under which conditions they equidistribute in the product X x X of two modular curves.
Zeit Beginn: 12.01.2023, 16:15 Uhr
Ende: 12.01.2023 , 17:15 Uhr
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