Seminar Event Detail


Geometry

Date:  Friday, October 01, 2021
Location:  3866 East Hall (4:00 PM to 5:30 PM)

Title:  Disjointness between horospherical flows and nilflows.

Abstract:   In his seminal paper from 1967, H. Furstenberg introduced the concept of disjointness of dynamical systems and proved that weakly mixing systems are disjoint from Kronecker systems. A. Venkatesh later showed that in the case of the horocyclic flow over a Riemann surface, this disjointness result can be effectivized.

I will discuss a result of mine generalizing Venkatesh's result showing quantitative disjointness between horospherical flows and flows over nilmanifolds, by combining techniques from higher Fourier analysis, as developed by Green-Tao-Ziegler. No prior acquaintance with the definitions is assumed, I plan to introduce all the major concepts during the talk.

Files:


Speaker:  Asaf Katz
Institution:  U M Michigan

Event Organizer:   spatzier    asaf.katz@gmail.com

 

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