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Polynomial-time Nielsen--Thurston type recognition

Presented by: 
Richard Webb University of Cambridge
Date: 
Monday 9th January 2017 - 13:30 to 14:30
Venue: 
INI Seminar Room 1
Abstract: 
A cornerstone of the study of mapping class groups is the Nielsen--Thurston classification theorem. I will outline a polynomial-time algorithm that determines the Nielsen--Thurston type and the canonical curve system of a mapping class. Our approach uses the action on the curve complex. Time permitting, I shall discuss the conjugacy problem for the mapping class group. This is joint work with Mark Bell.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons