Continuity of the Renormalized Volume under Geometric Limits

Seminar: 
Colloquium
Event time: 
Friday, August 2, 2019 - 10:00am
Location: 
LOM 206
Speaker: 
Franco Vargas Pallete
Speaker affiliation: 
UC Berkeley and IAS
Event description: 

I will discuss the infimum of the renormalized volume for convex-cocompact hyperbolic manifolds, as well as describing how a sequence converging to such values behaves. In particular, we show that the renormalized volume is continuous under the appropriate notion of limit. This result generalizes previous work in the subject.