Math 868

MWF 11:30 AM- 12:18 PM in CH 228
    Course number:  25982

Texts:


1.    Milnor, Morse Theory   
2.    Scorpan, The wild world of 4-manifolds 

Others:  Milnor, Mflds homeo to S7 pdf,    Lee, Smooth Manifolds,  




Speaking schedule for 2nd half of Milnor's book

Speaker Chapter
topics
approx.
dates




Mike Davis
8
Covariant differentiation, geodesics
3/29 - 3/31
Aliska Gibbins
11, 12
Path space, energy of a path
4/2
Marc Carnovale
13
Hessian of E
4/5
Mike Davis
9
Curvature tensor
never
Xiaolei Zhao
14
Jacobi fields
4/7
Jenny George
15
Morse Index Theorem
4/9 - 4/12
Zhenan Sui
16
Finite dim'l approx of path space
4/12 - 4/14
Jose Cervantes
17&18
Topology of the path space
4/16 - 4/21
Yang Liu
19
Topology and curvature
4/21
Tao Yang
20&21
Symmetric spaces and Lie groups
4/26 - 4/28
Yang Liu
22
Mflds of critical points
4/30 - 5/3
Kun Wang
23
Bott Periodicity for the unitary group
5/5 - 5/7
Xiaolei Zhao
24
Bott periodicity for the orthogonal group
5/10