Margulis inequalities - first introduced by Eskin-Margulis-Mozes during their work regarding quantitative Oppenheim conjecture, became an indispensable tool in dynamics, in particular regarding non-divergence questions and isolation theorems.
I plan to introduce the inequalities and their proofs, especially the so-called "key lemma" of Margulis, in three main examples - translates of K-orbits, stationary measures generated by random walks of "large subgroups" and translates of horospherical segments.
If time permits, I will describe some more advanced examples such as the Margulis inequality of Eskin-Mirzakhani-Mohammadi in the moduli spaces setting and the isolation theorem of Eskin-Lindenstrauss. Speaker(s): Asaf Katz (U Michigan)
I plan to introduce the inequalities and their proofs, especially the so-called "key lemma" of Margulis, in three main examples - translates of K-orbits, stationary measures generated by random walks of "large subgroups" and translates of horospherical segments.
If time permits, I will describe some more advanced examples such as the Margulis inequality of Eskin-Mirzakhani-Mohammadi in the moduli spaces setting and the isolation theorem of Eskin-Lindenstrauss. Speaker(s): Asaf Katz (U Michigan)
Building: | East Hall |
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Event Type: | Workshop / Seminar |
Tags: | Mathematics |
Source: | Happening @ Michigan from Department of Mathematics |