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University of Cambridge > Talks.cam > Probability > Understanding Liouville quantum gravity through two square subdivision models

## Understanding Liouville quantum gravity through two square subdivision modelsAdd to your list(s) Download to your calendar using vCal - Josh Pfeffer (MIT)
- Tuesday 05 November 2019, 14:00-15:00
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact Perla Sousi. In my talk I will discuss a general approach to better understand the geometry of Liouville quantum gravity (LQG). The idea, roughly speaking, is to partition the random surface into dyadic squares of roughly the same ``LQG size’’. Based on this approach, I will introduce two different models of LQG that will provide answers to three questions in the field: 1) Rigorously explain the so-called ``DDK ansatz’’ by proving that, for a surface with metric tensor some regularized version of the LQG metric tensor $\exp(\gamma h) (dx 2) Provide a heuristic picture of the geometry of LQG with matter central charge in the interval $(1,25)$. (The geometry in this regime is mysterious even from a physics perspective.) 3) Explain why many works in the physics literature may have missed the nontrivial conformal geometry of LQG with matter central charge in the interval $(1,25)$ when they suggest (based on numerical simulations and heuristics) that LQG exhibits the macroscopic behavior of a continuum random tree in this phase. This talk is based on a joint work with Morris Ang, Minjae Park, and Scott Sheffield; and a joint work with Ewain Gwynne, Nina Holden, and Guillaume Remy. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
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