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A planar map is a canonical model for a discrete surface which is studied in probability theory, combinatorics, theoretical physics, and geometry. Liouville quantum gravity provides a natural model for a continuum random surface with roots in string theory and conformal field theory. After introducing these objects, I will present a joint work with Xin Sun where we prove convergence of random planar maps to a Liouville quantum gravity surface under a discrete conformal embedding which we call the Cardy embedding.

COVID-19 information for PI Residents and Visitors

Collection/Series:

Event Type:

Seminar

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Event Date:

Wednesday, January 13, 2021 - 14:00 to 15:30

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Other

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