SEARCH Events
Event Title: OR
Speaker Last Name:    OR
Year: (yyyy)


Mathematics Colloquium

EVENT DETAIL

Date:  Tuesday, January 14, 2014

Title:  Parabolic Blowups, and a new entry in the Sullivan Dictionary

Abstract:  Sullivan proposed a dictionary relating 1-dimensional complex dynamics on one side and 3-dimensional hyperbolic geometry on the other. I will propose a new entry in the dictionary: 1) Parabolic implosion, as developed by Douady, Lavaurs, Shishikura, Buff, and many others on the dynamics side, and 2) Geometric limits, non-local connectivity of parameter spaces, and ``bumponomics'', as developed by Thurston, Kerckhoff, Bromberg, Canary and many others, on the hyperbolic geometry side. I propose to relate both topics using the notion of parabolic blowups, which explain many of the features observed in both fields.


Speaker:  John Hubbard
Institution:  Cornell University

 

Back to current Colloquium List
Back to UM Math seminars page

   

Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified
Site errors should be directed to math-webmaster@umich.edu