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Algebra and Geometry Seminar

Event Type: 
Event Date: 
Wednesday, November 15, 2017 -
3:00pm to 4:00pm
SMLC 124
General Public
A. Buium

Event Description: 

Title: Understanding the Sasaki Cone


Abstract: The Sasaki cone can be thought of as a premoduli space of Sasakian structures with a fixed underlying CR

structure. As such it can have dimension 1\leq k\leq n+1 where the dimension of the Sasaki manifold is 2n+1. We study various important functions on the Sasaki cone, the most important of which is the Einstein-Hilbert functional. I shall end with a conjecture which says that if the dimension of the Sasaki cone is greater than 1, then the manifold is covered (up to possible covering maps) by 3-dimensional spheres.

Event Contact

Contact Name: Alexandru Buium

Contact Email: