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NEW YORK GROUP THEORY SEMINAR - Mar 4th

Moon Duchin, "Counting and distribution problems for word-metric spheres"
When Mar 04, 2011
from 03:30 PM to 05:00 PM
Where Graduate Center / CUNY
Contact Name
Contact Phone 212.650.5167
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Prof. Moon Duchin of the University of Michigan will speak at the New York Group Theory Spring Seminar on March 4, 2011.  His talk will be at 4pm in Room 5417.  Join us for tea and cookies at 3:30pm in the the Mathematics Lounge on the 4th floor.

Counting and distribution problems for word-metric spheres
It is a classical problem to study the growth of the number of words of length n in a word metric; in the 1980s and 90s, there was a surge of activity on the rationality of growth series for many classes of groups.  Motivated by wanting to approach probabilistic problems in groups, however, one might want finer information:  not only the number of points in the sphere of radius n, but also their distribution.  For even the simplest example -- free abelian groups with finite generating sets -- this is already a surprisingly rich problem.  I'll discuss the complete solution in that case and partial results for other groups.  (Joint work with Lelièvre and Mooney)

The seminar meets at the Graduate Center of the City University of New York.  The Graduate Center is located at 365 Fifth Avenue at 34th Street.  If you are not affiliated with the City University of New York, you should allow a few extra minutes to sign in with the guards at the entrance.

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