Course Identification

Title:

Topological complexity of nonpositively curved manifolds.

Code:

20194262

Lecturers and Teaching Assistants

Lecturers:

Prof. Tsachik Gelander

TA's:

N/A

Course Schedule and Location

Year:

2019

Semester:

Second Semester

When / Where:

Tuesday, 10:15 - 12:00, Goldsmith, Rm 208

First Lecture:

02/04/2019

Field of Study, Course Type and Credit Points

Mathematics and Computer Science: Lecture; Elective; Regular; 2.00 points

Comments

N/A

Prerequisites

Some background in Group Theory and Topology.

Restrictions

Participants:

30

Language of Instruction

English

Attendance and participation

Required in at least 80% of the lectures

Grade Type

Pass / Fail

Grade Breakdown (in %)

Assignments:

100%

Evaluation Type

Other

Scheduled date 1

Date / due date

N/A

Location

N/A

Time

-

Remarks

N/A

Estimated Weekly Independent Workload (in hours)

2

Syllabus

Hadamard spaces, Symmetric space, Lattices and locally symmetric manifolds, Arithmetic groups, The Margulis Lemma, Thick-Thin decomposition, Good coverings and the nerve Lemma, Triangulations and simplicial approximations of manifolds, Finiteness statements, Algebraic asymptotic Invariants, Geometric and topological asymptotic invariants, L_2 invariants, Invariant Random Subgroups, Benjamini Schramm convergence

Learning Outcomes

Upon succesfull completion of the course, the students will be able to:

Gain familiarity with with advanced topics concerning locally symmetric spaces, lattices, non-positively curved manifolds and arithmetic groups.

Reading List

N/A

Website

N/A