Abstract
There are several constructions in different mathematical contexts to obtain families of mirror-symmetric objects, meaning they correspond through mirror symmetry. Among these, we are particularly interested in Batyrev’s duality and the Berglund-Hübsch-Krawitz construction. In this talk, I will explain how these two constructions allow us to obtain families of mirror-symmetric Calabi-Yau varieties and how a new construction, which generalizes both, can be introduced: the construction with good pairs. This is joint work with Michela Artebani and Robin Guilbot.

Location:
Manuel López Ramírez Auditorium, Department of Mathematics and Statistics, University of La Frontera.

Abstract
In this talk, I will introduce the mapping class group (MCG) of a topological surface. After discussing some general properties of MCGs, I will focus on the class of large mapping class groups. Part of this talk will be devoted to mentioning some fundamental results in their development. I will conclude my presentation by giving a brief overview of the fascinating topic of the large-scale geometry of these groups.

Location:
Manuel López Ramírez Auditorium, Department of Mathematics and Statistics, University of La Frontera