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The spectral gap of a hyperbolic surface

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GSTW05 - Emerging Horizons in Geometric Spectral Theory: an ECRs workshop

In this talk I’ll give an introduction to hyperbolic surfaces. Then I’ll describe popular random and arithmetic models of them.  I’ll give an overview of the whole spectrum of the Laplacian on the surface, and then focus on  the potential spectral gap at zero. I’ll explain both old and new results about the spectral gap and finally highlight some remaining challenges.   Based on joint works with W. Hide, D. Puder, and R. van Handel.

This talk is part of the Isaac Newton Institute Seminar Series series.

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Sir Arhur Marshall Room, Engineering Design Centre, CUED Seminar Room 3 CTC common room

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