Math 6510 - 1 Supplements Page

     
Course Title: Differentiable Manifolds
Course Number: MATH 6510 - 1
Instructor: Andrejs Treibergs
Home Page: http://www.math.utah.edu/~treiberg/M6511.html
Place & Time: M, W, F, 10:45 - 11:35 in JTB 120
Office Hours: 11:45-12:45 M, W, F, in JTB 120 (tent.)
E-mail: treiberg@math.utah.edu
Prerequisites: Prerequisites: "C" or better in MATH 4510 AND MATH 5520 or consent of instructor.
Main Texts: * Math 6510 Notes by Kevin Wortman
http://www.math.utah.edu/~wortman/6510.pdf
* Introduction to Smooth Manifolds, 2nd. ed., by John M. Lee, Springer, 2013.
Additional Texts:List of supplementary materials used in the course.



Home Pages of Previous Math 6510's

Math 214 Fall 1981

Math 653 Spring 1989

Math 653 Spring 1990

Math 653 Spring 1992

Math 653 Spring 1998

Math 6410 - 1 Fall 2017

Math 6510 - 1 Fall 2018


In this first semester of a year long graduate course in geometry / topology, we shall focus on differentiable manifolds. The second semester, Math 6520 taught by K. Bromberg, will emphasize homotopy and homology theory. In this course, along with the Math 6520, we shall try to cover the syllabus for the qualifying exam in geometry / topology. Although some mathematical sophistication is required to take the course, we shall provide any background materials needed by the class.

We shall follow Wortman's notes and Lee's text, "Introduction to Smooth Manifolds," Springer, New York 20013, ISBN 978-1-4419-9981-8. We shall discuss as many applications as we can. List of topics:



Lecture Notes


Last updated: 7 / 22 / 19