Department of Mathematics,
University of California San Diego
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Math 196: Undergraduate Math Colloquium
Prof. Morris Ang
UCSD
Random Planar Maps
Abstract:
A planar map is a combinatorial object built by gluing together triangles into a discrete surface with the sphere topology. Random planar maps sit at the intersection of many fields of mathematics – they can be studied enumeratively or bijectively, and their scaling limits have deep connections to conformal field theory and bosonic string theory. In this talk, I will discuss how certain models of random planar maps can be encoded using pairs of random trees, and how it helps us understand the geometry of random surfaces. No background beyond basic probability will be needed.
Host: Jon Novak
November 3, 2025
3:00 PM
APM 6402
Research Areas
Probability Theory****************************
