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Low dimensional topology learning seminar

Mapping Class Groups

Andy Huynh

Location:  zoom link: https://rutgers.zoom.us/j/97770058926?pwd=OGpqclpZZHRpaHFWdGFaQVNxZFA0UT09
Date & time: Thursday, 28 October 2021 at 3:00PM - 4:00PM

I will define the mapping class group for surfaces. I will talk about an important element in the mapping class group called Dehn twists and see how the structure of the mapping class group relates to Dehn twists. Then I will talk about the relationship of mapping class groups with the fundamental group. If I have time, I will talk about the Nielsen-Thurston classification and how it relates to geometrization of 3-manifolds.