University of Cambridge > Talks.cam > Differential Geometry and Topology Seminar > Geometry and spectrum of random hyperbolic surfaces

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹī¸ Information

Geometry and spectrum of random hyperbolic surfaces

Download to your calendar using vCal

  • UserLaura Monk (Bristol)
  • ClockWednesday 04 May 2022, 16:00-17:00
  • HouseMR13.

If you have a question about this talk, please contact Henry Wilton .

The aim of this talk is to present recent progress in the spectral theory of hyperbolic surfaces, which was achieved by bringing a new probabilistic viewpoint to this classic field. Studying random hyperbolic surfaces allows to prove statements true for most surfaces rather than every single one of them, and hence to exclude some known pathological examples. I will present estimates on the density of eigenvalues and the spectral gap of typical surfaces in the Weil—Petersson random setting. These results are proven using the Selberg trace formula, together with geometric information on closed geodesics on random surfaces.

This talk is part of the Differential Geometry and Topology Seminar series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Cambridge Conservation Initiative Events Type the title of a new list here Tagliaferri Lecture

Other talks

C2D3 Computational Biology Annual Symposium 2026 An Amphibious Urbanism | | Cut 4: The Desert Arrives Slowly Science & the Public in Action: Can and should climate scientists be activists? External Seminar - Hilde Nelissen TBC Organiser's Welcome Peri-Operative Medicine, and Obstetrics and Gynaecology
 

Š 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity