Dear Colleagues and Students,
You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Redi Haderi (Bilkent)
“2-dimensional groups and H^3”
Abstract: We have seen that H^2 classifies certain group extensions last week. This week we will see what H^3 classifies and that will be equivalence classes of 2-dimensional groups. If we say that a group is a structure that describes symmetries then a 2-group is a structure that describes symmetries and symmetries between symmetries. We make this notion precise using 2-category theory (which will be reviewed to the extent we need). Then we prove that these are equivalent to crossed modules and 2-term extensions. Finally we describe how they are classified via H^3 of an appropriate group.
Date: Monday, December 17, 2018
Place: Mathematics Seminar Room, SA – 141