Papers › Certifying numerical estimates of spectral gaps
Certifying numerical estimates of spectral gaps
Marek Kaluba, Piotr Nowak
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We establish a lower bound on the spectral gap of the Laplace operator on special linear groups using conic optimisation. In particular, this provides a constructive (but computer assisted) proof that these groups have Kazhdan property (T). A software for such optimisation for other finitely presented groups is provided.
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