Mapping Class Groups

Department: 
Math
Course Number: 
8803-MAR
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Not regularly scheduled

Special topics course on Mapping Class Groups, offered in Fall 2020 by Dan Margalit.

Prerequisites: 

MATH 6121, MATH 6441

Course Text: 

A Primer on Mapping Class Groups, Farb and Margalit
 

Topic Outline: 

-  Curves in surfaces
-  Examples of mapping class groups
-  Dehn twists
-  Presentations
-  Torelli groups
-  Automorphisms of Riemann surfaces
-  Dehn-Nielsen-Baer theorem
-  Teichmuller space and moduli space
-  The Nielsen-Thurston classification theorem