Chennai Mathematical Institute


2.00 pm, Seminar Hall
On the modular template and continued fractions

Tali Pinsky
TIFR, Mumbai.


This talk will provide an introduction to Anosov flows on three manifolds and the theory of templates, which is a gadget to study them due to Birman and Williams. I will discuss Ghys' construction of the template for the geodesic flow on the modular surface, and the relationship between this template and the continued fraction expansion for modular geodesics. Time permitting, I will also discuss work in progress, joint with Adam Clay, classifying Anosov flows on a torus knot complement.