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Mini-Lecture Series: Dynamics of horospherical subgroups of groups acting on trees

Mini-Lecture Series: Dynamics of horospherical subgroups of groups acting on trees
Datum:

08./09./10.05.2019

Ort:

08.05.: 1.067 (20.30)
09.05.: -1.011 (UG) (20.30)
10.05.: 2.059 (20.30)

Referent:

Vladimir Finkelshtein

Zeit:

08.05.: 15:45
09.05.: 11:30
10.05.: 09:45

This Mini-Lecture Series will consist of three talks of 50 minutes each.
 

Abstract: In the series of three talks I will discuss unipotent dynamics in a non-linear world. In the first talk, I will review some classical results in linear groups of rank one; the main example being - the action of the unipotent group U < SL(2,R) on the homogeneous space SL(2,R)/SL(2,Z). The second talk will focus on introducing nonlinear analogues of all the players. The role of SL(2,R) will be played by the group of tree automorphisms. I will discuss lattices in it and prove orbit classification. In the third talk, I will explain measure classification and some equidistribution results in the non-linear setting. This is joint work with C.Ciobotaru and C.Sert.