Department of Mathematics
Indian Institute of Science
Bangalore 560 012
SEMINAR
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Speaker |
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Prof. Rakesh, |
| Affiliation | : | University of Delaware |
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Subject Area |
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Mathematics
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Venue |
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Lecture Hall - III, Dept of Mathematics
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Time |
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4 pm
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Date |
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August 28, 2009 (Friday) |
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Title |
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The d-th polarization constant of Rd |
| Abstract | : |
The polarization conjecture for R^d is that max_{x \in R^d, ||x||=1} |<x, u_1> . . . t;x, u_i>| \geq (1/\sqrt{d})^d for any set of d unit vectors u_1, . . . , u_d in R^d with equality occurring iff u1, . . . , ud are orthonormal. We describe results directed towards proving this conjecture and also the connections between this conjecture and other problems in the geometry of R^d. The talk is based on work done in collaboration with YJ Leung and W Li.
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