Spring 2020 MATH 215B 001 LEC
| Section | Days/Times | Location | Instructor | Class |
|---|---|---|---|---|
| 001 LEC | TuTh 03:30PM - 04:59PM | Evans 736 | Alexandre Givental | 24023 |
| Units | Enrollment Status | Session |
|---|---|---|
| 4 | Open | 2020 Spring, January 21 - May 08 |
Prerequisites 215A, 214
Description In 215A https://math.berkeley.edu/~giventh/21519.html, we were following the book "Homotopical topology" by Fomenko and Fuchs to cover the essence of Chapters I and II: homotopy theory, followed by (co)homology theory up to intersection theory on manifolds, including classification of principal and vector bundles over cellular bases, and a primer of the theory of characteristic classes. In 215 B, we'll begin with obstruction theory ('Lecture 18' in the book) to lay down more solid foundations for the theory of characteristic classes, then proceed to Chapter III on spectral sequences, perhaps learn something from Chapter IV on cohomological operations, then skip Chapter V on Adams' spectral sequence, and then possibly spend some time on K-theory and complex cobordisms, or maybe deviate from the book toward equivariant cohomology and localization formulas, or will do both if time permits.
Office 701 Evans
Office Hours TBA
Required Text see above
Recommended Reading
Grading Letter grade.
Homework weekly
Course Webpage https://math.berkeley.edu/~giventh/21520.html
