Vorlesung "Geometry of Manifolds"
Sommersemester 2017

Lectures & TA sessions

• Friday 2 - 6 pm in INF 205, SR 3

Contact

• Instuctor: Dr. Gye-Seon Lee

• Teaching assistant: Christoph Karg

Description

In this lecture, I will explain why geometry has an important role to play in the theory of low dimensional manifolds in addition to the use of purely topological methods. In particular, I will introduce some of the amazing works of Thurston and discuss the various geometries which can arise in manifolds.

Prerequisites

Students should ideally have some background in differential geometry and algebraic topology.

Müsli

Please register at MÜSLI.

Office hours

	Time	Place
Dr. Gye-Seon Lee	Wed. 11:00-12:00	INF 205, Room 03.328

Please send a short e-mail to me before your visit.

Homework

03. 05. 2017	Homework 1
23. 05. 2017	Homework 2
13. 06. 2017	Homework 3
05. 07. 2017	Homework 4

Exam info

There will be an oral exam on the 21st of July.

Language

This lecture will be taught in English.

Reference

• Benedetti, Petronio: Lectures on hyperbolic geometry.
• Kapovich: Hyperbolic manifolds and discrete groups.
• Martelli: An introduction to geometric topology.
• Matsuzaki, Taniguchi: Hyperbolic manifolds and Kleinian groups.
• Ratcliffe: Foundations of hyperbolic manifolds.
• Thurston: Three-dimensional geometry and topology; Volume 1.
• Thurston: The geometry and topology of three-manifolds.

Last updated: 05.07.2017