Course Identification

Asymptotic invariants of manifolds and groups
20204102

Lecturers and Teaching Assistants

Prof. Tsachik Gelander
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Course Schedule and Location

2020
Second Semester
Thursday, 10:15 - 13:00, Goldsmith, Rm 208
23/04/2020

Field of Study, Course Type and Credit Points

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

Comments

Will be taught via Zoom starting April 19th.

Prerequisites

No

Restrictions

40

Language of Instruction

English

Attendance and participation

Required in at least 80% of the lectures

Grade Type

Pass / Fail

Grade Breakdown (in %)

50%
50%

Evaluation Type

No final exam or assignment

Scheduled date 1

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-
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Estimated Weekly Independent Workload (in hours)

N/A

Syllabus

Margulis Lemma

Gromov's bound on Betti numbers of manifolds

The homotopy type of locally symmetric spaces

Rank Gradient

Morse theory

Invariant Random Subgroups and Benjamini Schramm topology

Manifolds of Large volume

Learning Outcomes

The aim is to study the theory of asymptotic invariants of manifolds of non-positive curvature and their fundamental groups. We will learn many tools that are of independent interest.

Reading List

Manifolds of Nonpositive Curvature, by Ballmann, Gromov and Schroeder.

Homotopy type and volume of locally symmetric manifolds, by Gelander.

 

 

Website

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