MathematischeGesellschaft Equidistribution: number theory and dynamics |  |  |
Speaker:Prof. Dr. Valentin Blomer, Universität Bonn
Location:Mathematisches Institut, Bunsenstr 3-5Sitzungszimmer oder über Zoom: https://uni-goettingen.zoom.us/j/91336854872
Organizer:Mathematisches Institut
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.
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Type:Colloquium
Language:English
Category:Research
External link:https://uni-goettingen.zoom.us/j/91336854872
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Direct link to event:https://events.goettingen-campus.de/event?eventId=844676
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