Ma 151c:  Algebraic and Differential Topology (Spring 2016-17)

ANNOUNCEMENTS

Registration for Spring term opens Thursday, February 23, 2016.

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COURSE DESCRIPTION

This is the third course in the first year graduate algebraic topology sequence. We will give an introduction to vector bundles, characteristic classes, and spectral sequences. We will start with some general concepts and results about fiber bundles and vector bundles, then we will move to topics like topological K-theory, Stiefel--Whitney classes, Chern classes, Pontryagin classes, and Chern--Weil theory. We will conclude the course with the Leray--Serre spectral sequence.


PREREQUISITES

Ma 109, Ma 151ab


SCHEDULE

MWF, 13:00 - 13:55, 257 Sloan.


INSTRUCTORS

Yi Ni
PROFESSOR OF MATHEMATICS
251 Sloan
626-395-4365


TA's

Dmitri Gekhtman


OFFICE HOURS

251 Sloan, by appointment.


POLICIES

Grades

There will be no exams. Grades will be based on the homework.

Homework Policy

There will be five problem sets.


TOPICS COVERED

TBA


TEXTBOOKS

Milnor-Stasheff's Characteristic Classes, Hatcher's Vector Bundles and K-Theory (electronic book), and Hatcher's Spectral Sequences in Algebraic Topology (electronic book).


LECTURE NOTES

Date Description
   
   
   

HOMEWORK

Due Date Homework Solutions
4/21 HW1  
5/5 HW2  
5/19 HW3  
6/2 HW4  
6/9 HW5  
     
     
     

EXAMS

 


READING