Probability seminar: Liouville quantum gravity and the Brownian map

30 October 2015, 4.30 PM - 30 October 2015, 5.30 PM

Jason P. Miller, Cambridge

SM3, School of Mathematics

Jason P. Miller, Cambridge

Liouville quantum gravity and the Brownian map

Over the past few decades, two natural random surface models have emerged within physics and mathematics. The first is Liouville quantum gravity, which has roots in string theory and conformal field theory. The second is the Brownian map, which has roots in planar map combinatorics.

We show that the Brownian map is equivalent to Liouville quantum gravity with parameter γ=√ 8/3 .

Based on joint work with Scott Sheffield.

Contact information

Organisers: Marton Balazs, Haeran Cho

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