Course Identification

Title:

Analytic group theory

Code:

20224172

Lecturers and Teaching Assistants

Lecturers:

Prof. Tsachik Gelander

TA's:

N/A

Course Schedule and Location

Year:

2022

Semester:

Second Semester

When / Where:

Tuesday, 11:15 - 14:00, Jacob Ziskind Building, Rm 155

First Lecture:

29/03/2022

End date:

19/08/2022

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: Lecture; Elective; Regular; 3.00 points

Comments

N/A

Prerequisites

Group theory, topology, measure theory, modern algebra.

Restrictions

Participants:

30

Language of Instruction

English

Attendance and participation

Obligatory

Grade Type

Numerical (out of 100)

Grade Breakdown (in %)

Attendance

50%

Seminar:

50%

Evaluation Type

Other

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

N/A

Syllabus

The Hausdorff Banach Tarski Paradox

The Ping-Pong Lemma

Amenability

Application of Amenability

Some Group Theory

Actions of Amenable Groups

Topological Groups

Kazhdan’s Property (T)

Property (FH)

SL2 (Qp) and its tree

Actions on Manifolds

Learning Outcomes

Upon successful completion of this course students should be able to:

[1] Get some familiarity with the above mentioned topics.

Reading List

Analytic Group Theory, by T. Gelander

https://www.weizmann.ac.il/math/Gelander/sites/math.Gelander/files/uploads/AGT.pdf

Website

N/A