Boğaziçi Üniversitesi Matematik Konuşmaları
Mapping Class Grupoids and Thompson's groups
Muhammed Uludağ
Galatasaray University, Türkiye
We aim to concoct a uniform treatment of mapping class groups and Thompson’s
groups and to generalize them. As a by-product we obtain a description of the outer automorphism
group of free groups as the isotropy group of a groupoid, akin to the mapping class groupoid of
Mosher and Penner. We illustrate some arithmetic aspects of these groupoids at the end of our
talk.
