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Mathematics Colloquium: Danny Calegari (University of Chicago)

Event Type
Seminar/Symposium
Sponsor
Department of Mathematics
Location
245 Altgeld Hall
Date
Sep 19, 2013   4:00 pm  

Danny Calegari (University of Chicago) will present "Most groups contain surface subgroups." Abstract: We show that "most" (finitely presented) groups (in a precise sense) contain subgroups which are isomorphic to the fundamental group of a closed oriented surface of genus at least 2. The subgroups can be constructed by a (reasonably) explicit and efficient procedure. The method of construction is interesting in its own right, and involves a mixture of combinatorics and probability theory.

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