| Speaker | Chapter |
topics |
approx. dates |
| Aliska Gibbins |
Thm 1.5 - Cor 1.17 |
Inverse Function Thm. |
1/4 |
| Aliska Gibbins |
1.18 - Thm 1.21 |
max rank |
1/8 |
| Zhenan Sui |
1.22 - Cor 1.32 |
Whitney Embedding Thm |
1/11 - 1/13 |
| Marc Carnovale |
rest of Section 1 |
transversality |
1/15 |
| Jenny George |
2.1 - 2.9 |
vector bundle defn's |
1/20 |
| Jose Cervantes |
2.10 - 2.24 |
normal bundles |
1/22 |
| Jose Cervantes |
2.25 - end of Section 2 |
Grassmannians |
1/25 - 1/29 |
| Mike Davis |
Whitney - 1944 |
Whitney Trick |
2/1 -2/3 |
| Yang Liu |
3.1 - 3.7 |
Cobordism |
2/5 - 2/12 |
| Kun Wang |
3.8 - 3.17 |
Pontrjagin-Thom construction |
2/12 - 2/17 |
| Morse Theory |
|||
| Tapopriya Majumdar |
I.1 - I.2 |
Definitions and lemmas |
2/17 - 2/24 |
| Xiaolei Zhao |
I.3 |
Homotopy type and critical values |
2/24 - 3/1 |
| Jenny George |
I.4 -I.5 |
Morse inequalities |
3/3 - 3/5 |
| Tao Yang |
I.6 |
Existence of Morse functions |
|
| Zhenan Sui |
I.7 |
The Lefschetz Theorem |