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Equidistribution: number theory and dynamics

Title of the event Equidistribution: number theory and dynamics
Series MathematischeGesellschaft
Organizer Mathematisches Institut
Speaker Prof. Dr. Valentin Blomer
Speaker institution Universität Bonn
Type of event Kolloquium
Category Forschung
Registration required Nein
Details 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.
Date Start: 12.01.2023, 16:15 Uhr
Ende: 12.01.2023 , 17:15 Uhr
Location Mathematisches Institut (Bunsenstr 3-5)
Sitzungszimmer oder über Zoom:
Contact 05513927752
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