~~META:title =2016~~

====== Peter Hilton Memorial Lecture - 2016 ======


**Speaker:** [[https://math.uchicago.edu/~wilkinso/ | Amie Wilkinson, University of Chicago]]
{{ :hiltonmemorial:amie.png?nolink&200x200|}}

**Title:** Geometry, Lyapunov exponents and rigidity

**Time:** Thursday April 28, 2016, 3:00 p.m. \\
**Location:** Binghamton University, [[ https://goo.gl/maps/CawNg8P6Ez92 | Fine Arts Building]], Room 258

The lecture will be followed by a reception at 4.30 p.m. in The President's Reception Room, [[https://www.google.com/maps/place/Anderson+Center+For+the+Arts/@42.089995,-75.9712084,17z/data=!3m1!4b1!4m2!3m1!1s0x89daeec655555555:0x9087c02e1a55a797|Anderson Performing Arts Center]], Binghamton University. This reception is for the whole Binghamton Mathematics Community as well as for our visitors. 

{{:hiltonmemorial:flyer2016.pdf|Flyer for the lecture}}


**Abstract:**

To each complete Riemannian manifold $M$ is associated a dynamical system -- the geodesic flow on the unit tangent bundle $SM$.  To what extent are the dynamical properties of this flow wedded to the geometry of $M$?  I will discuss some historical highlights, open questions and recent breakthroughs.