Dear Colleagues and Students,
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Mustafa Korkmaz (METU)
“Minimal number of involution generators for the mapping class group”
Abstract: The mapping class group Mod(Σg) of a closed oriented surface Σg of genus g is the group of isotopy classes of orientation–preserving diffeomorphisms Σg → Σg. It is a fundamental object in low-dimensional topology. It is known that this group can be generated by finitely Dehn twists, torsion elements and also by involutions. In this talk I will discuss how to generate the group Mod(Σg) with the smallest number of generators consisting of these types of elements, particularly our recent result on involutions: Mod(Σg) is generated by three involutions.
Date: November 4, 2019
Place: Mathematics Seminar Room, SA – 141