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SUMMARY:Diana Hubbard
DTSTART:20250508T163000Z
DTEND:20250508T173000Z
DTSTAMP:20260421T115457Z
UID:BC-Math/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BC-Math/24/"
 >Math Colloquium: What is... a mapping class group?</a>\nby Diana Hubbard 
 as part of Brooklyn College Math Department Events\n\nLecture held in 1146
  Ingersoll.\n\nAbstract\nA mapping class group of a surface is the group o
 f isotopy classes of homeomorphisms of the surface. These groups play a cr
 ucial role in low-dimensional topology\, as many topological objects can b
 e constructed out of the information of a surface and a homeomorphism on t
 hat surface. The famous and useful Nielsen-Thurston Classification theorem
  characterizes these homeomorphisms as long as surfaces have finitely gene
 rated fundamental group. When surfaces do not have finitely generated fund
 amental group\, their mapping class groups are called "big" and are less w
 ell understood. I will explain this background and discuss some of my rece
 nt joint work in the area of mapping class groups. In particular I'll give
  an example of a novel homeomorphism in big mapping class groups that has 
 unusual dynamics.\n​\n
LOCATION:https://researchseminars.org/talk/BC-Math/24/
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