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Computing Kazhdan constants by computer.

Presented by: 
Koji Fujiwara Kyoto University
Date: 
Thursday 9th March 2017 -
11:00 to 12:00
Venue: 
INI Seminar Room 2
Abstract: 
Ozawa found a new characterization of property (T) of finitely generated groups. His theorem gives an algorithm to compute a lower bound of the Kazhdan constant. Netzer-Thom actually found a good positive lower bound for SL(3,Z). I will report on computer experiments on other examples. We found good lower bounds for lattice groups on A2-tilde buildings, which have property (T). This is an experimental math talk.



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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons