Midrasha

Discrete Groups, Expanding Graphs, and Measure Invariants

First meeting: March 24, 2024.

Main Reference
[Lub] Alexander Lubotzky, Discrete Groups, Expanding Graphs and Invariant Measures. With an appendix by Jonathan D. Rogawski. Progress in Mathematics, 125. Birkhäuser Verlag, Basel, 1994.

Topics and Speakers
The topics and speakers of each week are here.

Measured Group Theory

First meeting: November 4, 2024.

Main References
[Fur] Furman, A survey of the measured group. Geometry, rigidity, and group actions, 296–374, 2011.
[Kerr-Li] Kerr and Li, Ergodic Theory: Independence and Dichotomies. Springer Monographs in Mathematics. Springer, Cham, 2016.

Secondary References
[Ioa] Ioana, Orbit equivalence of ergodic group actions (lecture notes).
[Loh] Löh, Ergodic Theory of Groups (lecture notes), 2020.

Expanders, Ramanujan Graphs, Property Testing, Stability, and Group Approximation

First meeting: April 8, 2024.

The Spectrum of Hyperbolic Surfaces

First meeting: December 11, 2023.

Main reference:   Bergeron. The spectrum of hyperbolic surfaces. Translated from the 2011 French original by Brumley. Universitext. Springer, 2016.

Coxeter Groups and Buildings

First meeting: October 30, 2023.

Main reference:   Thomas. Geometric and topological aspects of Coxeter groups and buildings. Lecture Notes, 2016.

Hyperoblic Geometry

Main reference:    Benedetti and Petronio. Lectures on hyperbolic geometry. Universitext. Springer-Verlag, Berlin, 1992

Harmonic Analysis

Main reference:    Folland. A course in abstract harmonic analysis. Second edition. Textbooks in Mathematics. CRC Press, Boca Raton, FL, 2016.