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The 19 th Annual R. A. Blyth Lectures in Mathematics Abstract: 3manifolds can be built up by a process of gluing along surfaces, and a good quantitative understanding of this can help us study the geometric structures that these manifolds admit. This leads to a detailed study of the mapping class group of a surface and its coarse geometry. I will discuss the history of this area over recent (and not so recent) years, and hopefully give an overview of the current state, where a number of question marks remain. Complexity in surfaces and 3manifolds LECTURES 1, 2 Monday, March 10 th and Wednesday, March 12 th , 2014 – 4:00 p.m. Room BA6183 LECTURE 3 Thursday, March 13, 2014 – 12:00 p.m. Room: BA6183 The Blyth Lecture Reception will take place before the first lecture at 3:00 p.m. on Monday, March 10 th , 2014 in the Department of Mathematics lounge, 40 St. George St., 6 th floor. For more information, please visit our website: http://www.math.utoronto.ca/cms/blythlectureseries/

The19 Annual$$ R.$A.$Blyth$Lectures$in$Mathematics ... · The19thAnnual$$ R.$A.$Blyth$Lectures$in$Mathematics$ Abstract:!! 3#manifolds!can!be!built!up!by!a!process!of!gluing!along!

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Page 1: The19 Annual$$ R.$A.$Blyth$Lectures$in$Mathematics ... · The19thAnnual$$ R.$A.$Blyth$Lectures$in$Mathematics$ Abstract:!! 3#manifolds!can!be!built!up!by!a!process!of!gluing!along!

The  19th  Annual    R.  A.  Blyth  Lectures  in  Mathematics  

Abstract:      3-­‐manifolds   can   be   built   up   by   a   process   of   gluing   along  surfaces,   and   a   good   quantitative   understanding   of   this  can   help   us   study   the   geometric   structures   that   these  manifolds   admit.   This   leads   to   a   detailed   study   of   the  mapping  class  group  of  a  surface  and  its  coarse  geometry.      I  will  discuss  the  history  of   this  area  over   recent   (and  not  so   recent)   years,   and   hopefully   give   an   overview   of   the  current  state,  where  a  number  of  question  marks  remain.  

Complexity  in  surfaces  and  3-­‐manifolds  

LECTURES  1,  2  Monday,  March  10th  and    Wednesday,  March  12th,  2014    –  4:00  p.m.  Room  BA6183        

LECTURE  3  Thursday,  March  13,  2014  –  12:00  p.m.  Room:  BA6183        

The  Blyth  Lecture  Reception  will  take  place  before  the  first  lecture    at  3:00  p.m.  on  Monday,  March  10th  ,  2014    in  the  Department  of  Mathematics  lounge,    

40  St.  George  St.,  6th  floor.      

For  more  information,  please  visit  our  website:    http://www.math.utoronto.ca/cms/blyth-­‐lecture-­‐series/