MATH 6530
Last Updated
- Schedule of Classes - April 13, 2023 2:00PM EDT
- Course Catalog - April 12, 2023 7:14PM EDT
Classes
MATH 6530
Course Description
Course information provided by the Courses of Study 2022-2023.
An introduction to topological K-theory and characteristic classes. Topological K-theory is a generalized cohomology theory which is surprisingly simple and useful for computation while still containing enough structure for proving interesting results. The class will begin with the definition of K-theory, Chern classes, and the Chern character. Additional topics may include the Hopf invariant 1 problem, the J-homomorphism, Stiefel-Whitney classes and Pontrjagin classes, cobordism groups and the construction of exotic spheres, and the Atiyah-Singer Index Theorem.
When Offered Fall.
Prerequisites/Corequisites Prerequisite: MATH 6510, or permission of instructor.
Regular Academic Session.
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Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)
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Class Number & Section Details
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Meeting Pattern
- MW Malott Hall 205
- Aug 22 - Dec 5, 2022
Instructors
Zakharevich, I
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Additional Information
Instruction Mode: In Person