Geometry Seminar

 

Hard Lefschetz actions in  Riemannian geometry

 

Mr. Changzheng Li

The Chinese University of Hong Kong

 

 

 

Abstract

It is known that the hard Lefschetz action, together with Kähler identities for Kähler (resp. hyperkähler) manifolds, determines a su(1, 1)sup (resp. sp(1, 1)sup) Lie superalgebra action on differential forms. In this talk, we will explain the geometric origin of this action, and we also generalize it to manifolds with other holonomy groups.

 

 

Date:

April 27, 2007 (Friday)

Time:

4:00 – 5:00pm

Place:

Room 517, Meng Wah Complex, HKU

 

 

 

 

All are welcome