Geometry & Analysis Seminar Spring 2017
McHenry Room 4130
For further information please contact Professor Longzhi Lin or call 831-459-2400
April 6, 2017
April 13, 2017
April 20, 2017
April 27, 2017
Alvaro del Pino, ICMAT, Madrid, Spain
Title: Spaces of Distributions
Abstract: A (tangent) distribution is a subbundle of the tangent space. A classical question in differential topology asks to describe the space of all possible distributions of a given rank on a given manifold. This classical question has a classical answer: obstruction classes provide a nice framework in which actual computations can be performed.
One can then study the topology of those subspaces of distributions defined by some geometrically meaningful condition. There are two particular instances in which answers can be provided: foliations and (even-)contact structures. In both cases there is a well--developed theory and active research. At the same time, very little is known about other spaces of distributions.
In the talk I will review the h-principle philosophy and explain the role it has played in foliation theory and contact topology. This will allow me to motivate some of the recent developments in the study of Engel structures (which is a class of distributions particular to dimension 4).
May 4, 2017
Xuwen Zhu, Stanford University
May 11, 2017
Matt Grace, UC Santa Cruz
May 18, 2017
Peter Hintz, UC Berkeley
May 25, 2017
Vincent Bonini, Cal Poly, San Luis Obispo
June 1, 2017
Alice Chang, Princeton University
June 8, 2017
June 15, 2017