Stefanella Boatto (Department of Applied mathematics, Institute of Mathematics, Federal University of Rio de Janeiro, Brazil)

Title: A journey into the mathematical universe: Topological Data Analysis. A brief
introduction and some applications.

Abstract: Data Science is a highly evolving discipline that presents many challenges. For
example, in the case of an epidemic, how can we identify which socio–economic and social
parameters, tourist mobility, prevention and control measures have the greatest impact on
the dynamics of an epidemic? In recent years Topological Data Analysis has proved to be a
powerful tool, a lens to highlight some dominant features of collective phenomena and
explore large and complex data sets. In this lecture we will see a brief introduction and how
this new discipline is highly multidisciplinary within mathematics itself, bringing together
areas such as Space–Time Analysis, Algebraic Topology, Complex Networks, Alg. Linear and
Computation.

The seminar will take place in Room S08 at the Faculty of Sciences.