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