Spring 2020 MATH 215B 001 LEC

Algebraic Topology
001 LECTuTh 03:30PM - 04:59PMEvans 736Alexandre Givental24023
UnitsEnrollment StatusSession
4Open2020 Spring, January 21 - May 08
Additional Information: 

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