Geometry & Analysis Seminar Spring 2017

Thursdays - 4:00pm
McHenry Room 4130
For further information please contact Professor Longzhi Lin or call 831-459-2400

April 6, 2017
No Seminar


April 13, 2017 
TBA


April 20, 2017
TBA


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
TBA 


June 15, 2017
TBA