Department of Mathematics
Indian Institute of Science
Bangalore 560 012
GOLDEN JUBILEE YEAR 2005 - 2006
SEMINAR.....
Speaker |
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Prof. Basudeb Datta
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Affiliation |
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Department of Mathematics
Indian Institute of Science
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall I, Dept of Mathematics
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Time |
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4.00 pm
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Date |
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December 09, 2005
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Event Title1 |
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"Minimal Triangulations of Manifolds"
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Abstract |
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Aiming at a complete classification of objects
like algebraic varities,Henri Poincare defined triangulation in 1895 and
asked the following. (i) Is there a triangulation for every algebraic varity?
(ii) s there a triangulation for every topological manifold? In 1935, Cairns
proved that each closed smooth manifold is triangulable. In 1964,
Lojaciewitz proved that each real algebraic variety is triangulable. But, it
took 100 years to find a non-triangulable manifold. In 1985, Casson showed
that there exists a topological 4-manifold which is not triangulable. |