Hirzebruch's signature theorem in dimension 4

Series: 
Geometry Topology Student Seminar
Wednesday, November 20, 2013 - 14:00
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
School of Math, Georgia Tech
,  
Organizer: 
We'll prove the simplest case of Hirzebruch's signature theorem, which relates the first Pontryagin number of a smooth 4-manifold to the signature of its intersection form. If time permits, we'll discuss the more general case of 4k-manifolds. The result is relevant to Prof. Margalit's ongoing course on characteristic classes of surface bundles.