Surjective homomorphism between surface braid groups

Series: 
Geometry Topology Seminar
Monday, June 26, 2017 - 14:05
1 hour (actually 50 minutes)
Location: 
Skiles 006
,  
University of Chicago
Organizer: 
I will talk about homomorphisms between surface braid groups. Firstly, we will see that any surjective homomorphism from PB_n(S) to PB_m(S) factors through a forgetful map. Secondly, we will compute the automorphism group of PB_n(S). It turns out to be the mapping class group when n>1.