Orta Doğu Teknik Üniversitesi Genel Seminer
An Introduction to Big Mapping Class Groups
Mehmetçik Pamuk
Orta Doğu Teknik Üniversitesi, Ankara, Türkiye
The classical mapping class group, $Mod(S)$, is the group of symmetries of a compact, finite-type surface $S$. It is a foundational, finitely generated, discrete group that is central to low-dimensional topology and geometry. In this talk, we explore what happens when the surface is allowed to be of infinite type, giving rise to the big mapping class group, $Mod(\Sigma)$.
