Speaker
Dr
Bhalchandra Thatte
(Oxford University)
Description
A pedigree of a population of individuals is a finite
directed acyclic graph in which each vertex has indegree 0
or 2. The sink vertices in a pedigree are living individuals
and sources are the founders of a population. Suppose
founders are assigned random sequences over an alphabet
Σ (e.g. DNA sequences over the alphabet A,T,G,C). The
sequences evolve under a stochastic model of mutations and
recombinations. Thus the model and the pedigree induce a
probability distribution on the sequences of living
individuals. Given such a distribution, can we construct the
pedigree (up to isomorphism)? I will talk about my recent
work on this problem.
