Course Identification

Title:

Topics in Geometric and Combinatorial Group Theory

Code:

20214112

Lecturers and Teaching Assistants

Lecturers:

Prof. Tsachik Gelander

TA's:

N/A

Course Schedule and Location

Year:

2021

Semester:

Second Semester

When / Where:

Wednesday, 10:15 - 13:00

First Lecture:

23/03/2021

End date:

31/08/2021

Field of Study, Course Type and Credit Points

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

Comments

N/A

Prerequisites

No

Restrictions

Participants:

60

Language of Instruction

English

Attendance and participation

Expected and Recommended

Grade Type

Pass / Fail

Grade Breakdown (in %)

Assignments:

50%

Final:

50%

Evaluation Type

Final assignment

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

4

Syllabus

The course will focus on the theory of lattices and random subgroups. We will cover the following topics:

1. Basic notions in the theory of lattices.

2. Arithmetic groups.

3. Borel--Harish-Chandra theorem.

5. Invariant Random Subgroups.

6. The results of the 7 samurais.

7. Stationary Random Subgroups.

8. Manifolds of infinite volume.

Learning Outcomes

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

Commutative algebra is a beautiful mathematical theory which form the basic to algebraic number theory as well as algebraic geometry.

Reading List

N/A

Website

N/A