# Geometry & Analysis Seminar Spring 2017

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**