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Random Hyperbolic Surfaces
Last Updated: 2026-07-21 00:37:07
Abstract
The main aim of this student seminar is to study different models of random hyperbolic surfaces, and to present the model-dependent generic topological and geometric properties, such as diameter, lengths of curves, and connectivity.
Objective
The main aim of this student seminar is to study different models of random hyperbolic surfaces, and to present the model-dependent generic topological and geometric properties, such as diameter, lengths of curves, and connectivity.
Content
Among finite surfaces, hyperbolic ones are typical in the sense that all but finitely many surfaces admit a hyperbolic metric. There are several probabilistic models for producing hyperbolic surfaces, such as randomly gluing triangles (or even polygons), randomly attaching pairs of pants, taking uniformly chosen n-fold coverings of a fixed surface, or sampling from a suitable measure on the deformation space of hyperbolic metrics. The seminar will be structured as a reading group. There will be six talks of two hours each, with each talk prepared and given by two students.
General Information
- Language
- English
- Levels
- MSC
Examination
- Type
- ungraded semester performance
Registration & Places
- Signup End
- 30.08.2026
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| seminar |
Random Hyperbolic Surfaces
Number of participants limited to 12.
|
No time listed | 2 h weekly |
Offered In
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Seminars (Seminar placement is determined by waiting lists and is not on a first-come, first-served basis. You can add yourself directly to the waiting list for your preferred seminar via myStudies.. We recommend that you specify a second and third priority using the placeholder course “Generic Seminar – Second Priority / Third Priority.” Please register for your desired waiting list(s) by Sunday, August 2, 2026, if possible, as the selection process begins shortly thereafter.)
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