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arXiv · 1703.09680

Certifying numerical estimates of spectral gaps

Marek Kaluba·Piotr Nowak
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Abstract

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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Marek Kaluba, Piotr Nowak. 2017-03-28. Certifying numerical estimates of spectral gaps. https://arxiv.org/abs/1703.09680

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