#### Event Title

#### Description

A geometric flow is a process which is defined by a differential equation and is used to evolve a geometric object from a general shape to a one with more symmetries. For example, the curve-shortening flow deforms a simple closed curve to a round one ; the Ricci flow deforms a simply connected surface (say, a football shaped one) to a round sphere. In this talk, we will give an overview of some of these geometric flows, in particular, some discussions on singularities that these flows often run into.

#### Date of Event

April 12, 2016

#### Location

Mailman-Hollywood Auditorium

#### NSU News Release Link

https://nsunews.nova.edu/math-discussion-to-explore-geometric-flows-april-12/

Geometric Flows

Mailman-Hollywood Auditorium

A geometric flow is a process which is defined by a differential equation and is used to evolve a geometric object from a general shape to a one with more symmetries. For example, the curve-shortening flow deforms a simple closed curve to a round one ; the Ricci flow deforms a simply connected surface (say, a football shaped one) to a round sphere. In this talk, we will give an overview of some of these geometric flows, in particular, some discussions on singularities that these flows often run into.

https://nsuworks.nova.edu/mathematics_colloquium/ay_2015-2016/events/7

## Presenter Bio

Mingliang Cai, Ph.D. is an Associate Professor in the Department of Mathematics at University of Miami. His research interests include differential geometry and mathematical relativity. He received his Ph. D from the University of Pennsylvania.