Program
Homotopy Theory and its relation to Differential Topology
Student No.:50
Time:Mon/Wed 13:00-14:50, 2015-03-09~ 2014-06-17(except for public holidays)
Instructor:Thomas Farrell  [Tsinghua University]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2015-3-9
Ending Date:2015-6-17
 
Description:
 
The basics of homotopy theory through Hurewicz, Whitehead and Freudenthal suspension theorem will be covered, Followed by Serre’s generalization of these via his mod e homotopy related to the work of Pontryagin, Thom, Hirzebruch and Milnor.
 
Prerequisite:
 
Covering spaces, homology and cohomology through cup products and universal coefficient formula, Whitney embedding and Thom transversality theorems.
 
Reference:
 
E.H. Spanier, Algebraic Topology
S-T Hu, Homotopy Theory
N. Steenrod, The Topology of Fibre Bundles
J. Milnor and J. Stasheff, Characteristic Classes