SonstigeVeranstaltungenMI On unipotent flows and their applications in number theory |  |
Vortragende Person:Vladimir Finkelshtein
Veranstalter:Mathematisches Institut
Beschreibung:
One the many beautiful applications of ergodic theory in number theory was discovered by Margulis who famously proved the Oppenheim conjecture, which studies the values that a real quadratic form can take (for example: are there integers x,y,z such that x^2 + \pi y^2 - z^2 is arbitrarily close to 0?). The main tool that he used was proved later in greater generality by Ratner. Her theorems concerned orbit closures of unipotent flows on homogeneous spaces and measures invariant under those flows. I will present Ratner’s results and the Oppenheim conjecture and discuss the connection between the two. No knowledge in ergodic or number theory is assumed.
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Veranstaltungsart:Vortrag
Veranstaltungssprache:Englisch
Kategorie:Forschung
Name der einladenden Person:Henry Bradford
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Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=11251
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