Tuesday, September 10, 2019
Time  Items 

All day 

4:00pm 
09/10/2019  4:15pm Abstract: Consider a sequence of CM points of increasing padic conductor on a modular curve X. What is its limiting distribution in any of the geometric incarnations of X? Works from the 2000s give the answer for the Riemann surface X(C), and for the reduction of X modulo primes different from p. I will describe the answer in the padic (Berkovich) analytic setting. A weak generalisation of this result has an application to the padic Birch and SwinnertonDyer conjecture. Location:
LOM 205
09/10/2019  4:15pm During the talk I will introduce renormalized volume for convex cocompact hyperbolic 3manifolds and will also describe bounds for Schottky manifolds in term of extremal lengths in the conformal surface at infinity. This will be used to partially answer a question by Maldacena about comparing renormalized volume for Schottky and Fuchsian manifolds with the same conformal boundaries. Location:
DL 431
