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Veranstaltung


Equidistribution: number theory and dynamics

Titel der Veranstaltung Equidistribution: number theory and dynamics
Reihe MathematischeGesellschaft
Veranstalter Mathematisches Institut
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
Ort Mathematisches Institut (Bunsenstr 3-5)
Sitzungszimmer oder über Zoom: https://uni-goettingen.zoom.us/j/91336854872
Kontakt 05513927752
annalena.wendehorst@mathematik.uni-goettingen.de
Externer Link https://uni-goettingen.zoom.us/j/91336854872
Dateianhang