BGU Probability and Ergodic Theory (PET) seminar Ical Atom

The seminar meets on Thursdays, 11:10-12:00, in -101

This Week

Ido Grayevsky (BGU)

Sublinear Distortion and QI Classification of Solvable Lie Groups.

Cornulier conjectured that two completely solvable Lie groups are quasiisometric if and only if they are isomorphic. This is a very difficult and very open problem. In this talk I will present some of the structure theory of solvable Lie groups and focus on the importance of sublinear distortions to this theory. I will review some of the important work of Cornulier and Tessera on Dehn functions of these groups. Finally, I will present recent results that contribute to their QI classification, which are interesting (also) because they are based on a (sublinear) weak form of QI.

Based on joint work with Gabriel Pallier.

2024–25–A meetings

Date
Title
Speaker
Abstract
Nov 7 Sublinear Distortion and QI Classification of Solvable Lie Groups. Ido Grayevsky (BGU)

Cornulier conjectured that two completely solvable Lie groups are quasiisometric if and only if they are isomorphic. This is a very difficult and very open problem. In this talk I will present some of the structure theory of solvable Lie groups and focus on the importance of sublinear distortions to this theory. I will review some of the important work of Cornulier and Tessera on Dehn functions of these groups. Finally, I will present recent results that contribute to their QI classification, which are interesting (also) because they are based on a (sublinear) weak form of QI.

Based on joint work with Gabriel Pallier.

Seminar run by Dr. Ido Grayevsky and Tomer Zimhoni