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March 08, 2013
Friday, March 08
Noncommutative Geometry
Time: 10:30
Speaker: Mingcong Zeng (Western)
Title: "NCG Learning Seminar: An exotic differential structure on S7"
Room: MC 107

Abstract: One interesting application of Hirzebruch signature theorem is the construction of exotic differential structure on S7. In this talk I will first show the construction of the exotic S7, which is the sphere bundle of the 4 dimensional vector bundle over S4 by using of the first Pontrjagin class and Euler class. Then for proving it has an exotic differential structure, we use Hirzebruch signature theorem to construct a invariant and compute this invariant for standard S7 and our sphere bundle to see they are different.