Daniele Agostini
(Max-Plank Institute fur Mathematik, Leipzig)
Titolo: Discrete Gaussians, theta functions and abelian varieties
Lunedi' 29 Ottobre 2018 ORE 14:30
Dipartimento di Matematica e Fisica
Universita' degli Studi Roma Tre
Largo San Leonardo Murialdo,1 - Pal.C - Aula 009
Abstract
The Gaussian distribution is a central object in mathematics and it
can be characterised as the unique probability on the real numbers
that maximises entropy, for fixed mean and variance. It turns out that
the same property can be used to define a discrete Gaussian
distribution on the integers. Moreover, the discrete Gaussian is
parametrised naturally by the Riemann theta function, and, as such, it
has a natural connection to the theory of abelian varieties in
algebraic geometry. The aim of the talk is to present this connection
and to show how question in probability give rise to natural problems
in algebraic geometry and viceversa. This is joint work with Carlos
Amendola (TU Munich).