Permutations in Random Geometry

Seminar | November 2 | 3:10-4 p.m. | 340 Evans Hall

Speaker/Performer:  Jacopo Borga, Stanford University

Sponsor:  Department of Statistics

Random geometry and random permutations have been extremely active fields of research for several years. The former is characterized by the study of large planar maps and their continuum limits, i.e. the Brownian map, Liouville quantum gravity surfaces and Schramm–Loewner evolutions. The latter is characterized by the study of large uniform permutations and (more recently) of biased/pattern-avoiding permutations and their continuum limits, called permutons. These two fields have evolved completely separately until recently, when some surprising connections emerged: it is possible to reconstruct some universal permutons directly using Liouville quantum gravity surfaces and Schramm–Loewner evolutions.

Our goal is to report on these new connections looking at three instructive examples: separable permutations, Baxter permutations and meandric permutations.

Event Contact:  alanmhammond@yahoo.co.uk, 510-0000000

Access Coordinator:  Alan Hammond,  alanmhammond@yahoo.co.uk,  510-000-0000