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Topics in Geometric Group Theory |
| November 05, 2007 to November 09, 2007 |
| Organized By: Noel Brady, Mike Davis, Mark Feighn |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Kleiner's proof of the polynomial growth theorem
Friday November 9, 2007
02:00PM - 02:50PM
Speakers:
David Fisher
Abstract:
I will explain Kleiner's very recent new proof of
Gromov's polynomial growth theorem. Unlike Gromov's,
this proof makes no use of the structure theory of locally
compact groups. The main new ingredient is a direct proof
that the space of Lipschitz harmonic functions on a group
of polynomial growth is finite dimensional. (This was known
to be true as a consequence of Gromov's theorem.) Though
Kleiner's proof is in the language of harmonic maps and
functions, in this context these notions are completely elementary
and I will not assume familiarity with them.
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