SMS scnews item created by Zhou Zhang at Fri 13 Feb 2015 1409
Type: Seminar
Distribution: World
Expiry: 6 Mar 2015
Calendar1: 20 Feb 2015 1100-1200
CalLoc1: AGR Carslaw 829
Auth: zhangou@como.maths.usyd.edu.au

# GTA Seminar: Zhu -- On Four-Manifolds With Positive Scalar Curvature

Speaker: Prof. Xi-Ping Zhu (Sun Yat-Sen University)

http://en.wikipedia.org/wiki/Zhu_Xiping

Time: Friday, Feb. 20, 11AM--12NOON

Room: AGR Room, Carslaw 829.

Lunch: after the talk.

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Title: On Four-Manifolds With Positive Scalar Curvature

Abstract: it is well known that there exist several differentiable
or topological obstructions to compact manifolds admitting metrics
of positive scalar curvature. On the other hand, the family of
manifolds with positive scalar curvature is quite large since any
finite connected sum of them is still a manifold admitting a metric
of positive scalar curvature. This talk is concerned with the
classification question to this family.

The classical uniformization theorem implies that a two-dimensional
compact manifold with positive scalar curvature is diffeomorphic to
the sphere or the real projective space. The combination of works
of Scheon-Yau and Perelman gives a complete classification to compact
three-dimensional manifolds with positive scalar curvature. In this
talk we will discuss how to extend Schoen-Yau-Perelman’s classification
to four-dimension. This is based on the joint works with Bing-Long Chen
and Siu-Hung Tang.

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Seminar website:

http://www.maths.usyd.edu.au/u/SemConf/Geometry/


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