Subsequential limits for Liouville graph distance

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• Alex Dunlap (Stanford)
• Tuesday 26 February 2019, 14:00-15:00
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

If you have a question about this talk, please contact Perla Sousi.

Liouville quantum gravity (LQG) is a natural model for a two-dimensional continuum random geometry. It originated from work on string theory and conformal field theory in the 1980s. In the past decade, LQG has been rigorously understood as a random measure on a two-dimensional surface, by taking a limit of measures on suitable smooth approximations. However, only at a single special temperature has a metric space structure for LQG been constructed. I will discuss recent work on the tightness of a sequence of natural discretized LQG metrics, the subsequential limits of which thus form natural candidates for a continuum metric for LQG . This is joint work with Jian Ding.

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