Date:
Wed, 09/01/201912:00-13:30
Location:
Danciger B building, Seminar room
Lecturer: Shankar Venkataramani form University of Arizona
Abstract:
Hyperbolic thin sheets abound in nature. Why is this so?
I will argue that non-Euclidean (hyperbolic) thin sheets are ``exotic continua" i.e, while they are described by continuum mechanics, they self-organize to create structures with non-trivial geometric and topological "charges" which govern their mechanics. I will motivate the need for new "geometric" methods for studying hyperbolic sheets and discuss connections with work in math and computer science on discrete differential geometry (DDG). I will discuss some of our DDG inspired methods and results obtained from them. Finally, I will present some thoughts on the motivating question: why are hyperbolic thin sheets ubiquitous in nature?
Abstract:
Hyperbolic thin sheets abound in nature. Why is this so?
I will argue that non-Euclidean (hyperbolic) thin sheets are ``exotic continua" i.e, while they are described by continuum mechanics, they self-organize to create structures with non-trivial geometric and topological "charges" which govern their mechanics. I will motivate the need for new "geometric" methods for studying hyperbolic sheets and discuss connections with work in math and computer science on discrete differential geometry (DDG). I will discuss some of our DDG inspired methods and results obtained from them. Finally, I will present some thoughts on the motivating question: why are hyperbolic thin sheets ubiquitous in nature?