Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

Shuaipeng Liu
Universität Groningen, Niederlande

 
spricht am
 
Montag, 25. Mai 2020
 
um
 
10:00 Uhr
 
im
 
Zoom
 
über das Thema:
 

»Existence of Riemannian Metrics with Positive Scalar Curvature on Complete Intersections«

Abstract:
In this talk I will first introduce the topological K-theory by introducing some basic properties of vector bundles as the set-up. A brief framework of multiplicative sequence and topological genus is introduced to give the very useful A-genus. By restricting the object to the spin manifold and the spin cobordism ring, Atiyah and Milnor got an very important ring-homomorphism from the one-point KO-ring to the spin cobordism ring. Based on Stolz’s well-known theorem on the spin manifold, use A-genus to give the existence conditions of Riemannian metrics which admit positive scalar curvature on complete intersections. This talk is based on my master’s thesis. It can be seen as a report and an application of the first-stage study of Atiyah-Singer’s index theory.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak



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