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Event Detail Information

Event Detail Information

Date Sep 19, 2013
Time 4:00 pm  
Location 245 Altgeld Hall
Sponsor Department of Mathematics
Contact Steve Bradlow
Event type colloquia
Views 2573
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.