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Workshop theme

The subject of random geometry has evolved considerably during the programme of the same name which took place at the Newton Institute in spring 2015, and in the intervening months. For instance, a unification of the discrete and continuous perspectives for random surface models (eg random planar maps and Liouville quantum gravity) has been greatly advanced; new methods have been introduced in the study of disordered systems and their phase transitions; and new directions of research have emerged such as a rigorous investigation of Yang--Mills models.The goal of the two-week workshop will be to allow researchers worldwide and from all career stages to catch up on these developments, and to plan for future research directions of the subject by capitalising on recent progress.The workshop will combine a series of mini-courses with invited talks (TBA) over a period of two weeks.

Timetable

Monday 9th July 2018
09:10 to 09:45	Registration	No Room Required
09:45 to 09:55	Welcome from Christie Marr (INI Deputy Director)	No Room Required
10:00 to 11:00	Sourav Chatterjee Stanford University An introduction to gauge theories for probabilists: Part I	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Jason Miller University of Cambridge Random walk on random planar maps I	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Jian Ding University of Pennsylvania Percolation for level-sets of Gaussian free fields on metric graphs	Room 1
14:35 to 15:20	Vincent Tassion ETH Zürich The phase transition for Boolean percolation	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required
17:00 to 18:00	Welcome Wine Reception at INI	No Room Required

Tuesday 10th July 2018
09:10 to 09:55	Nina Holden Massachusetts Institute of Technology Cardy embedding of uniform triangulations	Room 1
10:00 to 11:00	Gregory Miermont ENS - Lyon Exploring random maps: slicing, peeling and layering - 1	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Sourav Chatterjee Stanford University An introduction to gauge theories for probabilists: Part II	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Ofer Zeitouni Weizmann Institute of Science; New York University On the Liouville heat kernel and Liouville graph distance (joint with Ding and Zhang)	Room 1
14:35 to 15:20	Wei Qian University of Cambridge Uniqueness of the welding problem for SLE and LQG	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required

Wednesday 11th July 2018
09:10 to 09:55	Gilles Schaeffer École Polytechnique The combinatorics of Hurwitz numbers and increasing quadrangulations	Room 1
10:00 to 11:00	Jason Miller University of Cambridge Random walk on random planar maps II	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Antti Kupiainen University of Helsinki Quantum Liouville Theory	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 17:00	Free Afternoon	No Room Required
19:30 to 22:00	Formal Dinner at Emmanuel College (Old Library)	No Room Required

Thursday 12th July 2018
09:10 to 09:55	Tom Hutchcroft An operator-theoretic approach to nonamenable percolation	Room 1
10:00 to 11:00	Sourav Chatterjee Stanford University An introduction to gauge theories for probabilists: Part III	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Gregory Miermont ENS - Lyon Exploring random maps: slicing, peeling and layering - 2	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Julien Dubedat Columbia University Stochastic Ricci Flow	Room 1
14:35 to 15:20	Igor Kortchemski Condensation in critical Cauchy Bienaymé-Galton-Watson trees	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required

Friday 13th July 2018
09:10 to 09:30	Cyril Marzouk Université Paris Saclay Geometry of large random planar maps with a prescribed degree sequence	Room 1
09:35 to 09:55	Joonas Turunen University of Helsinki Critical Ising model on random triangulations of the disk: enumeration and limits	Room 1
10:00 to 11:00	Gregory Miermont ENS - Lyon Exploring random maps: slicing, peeling and layering - 3	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Jason Miller University of Cambridge Random walk on random planar maps III	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Eveliina Peltola Université de Genève Multiple SLEs, discrete interfaces, and crossing probabilities	Room 1
14:35 to 15:20	Jason Schweinsberg University of California, San Diego Yaglom-type limit theorems for branching Brownian motion with absorption	Room 1

Monday 16th July 2018
09:40 to 10:00	Registration for new participants	No Room Required
10:00 to 11:00	Wendelin Werner ETH Zürich Conformal loop ensembles on Liouville quantum gravity 1	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Allan Sly Princeton University Phase transitions of Random Constraint Satisfaction Problems - 1	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Ellen Powell ETH Zürich A characterisation of the Gaussian free field	Room 1
14:35 to 14:55	Thomas Budzinski ENS - Paris; Université Paris Saclay Simple random walk on supercritical causal maps	Room 1
15:00 to 15:20	Lukas Schoug KTH - Royal Institute of Technology A multifractal SLE_kappa(rho) boundary spectrum	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required

Tuesday 17th July 2018
09:10 to 09:55	Tim Budd Radboud Universiteit Nijmegen Lattice walks & peeling of planar maps	Room 1
10:00 to 11:00	Allan Sly Princeton University Phase transitions of Random Constraint Satisfaction Problems - 2	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Wendelin Werner ETH Zürich Conformal loop ensembles on Liouville quantum gravity 2	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Yilin Wang ETH Zürich Geometric descriptions of the Loewner energy	Room 1
14:35 to 15:20	Marcin Lis University of Cambridge Circle patterns and critical Ising models	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required

Wednesday 18th July 2018
09:10 to 09:30	Danny Nam Princeton University; Seoul National University Cutoff for the Swendsen-Wang dynamics	Room 1
09:35 to 09:55	Antoine Jego Cambridge Centre for Analysis Thick Points of Random Walk and the Gaussian Free Field	Room 1
10:00 to 11:00	Wendelin Werner ETH Zürich Conformal loop ensembles on Liouville quantum gravity 3	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Allan Sly Princeton University Phase transitions of Random Constraint Satisfaction Problems - 3	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 17:00	Free Afternoon	No Room Required

Thursday 19th July 2018
09:10 to 09:55	Perla Sousi Capacity of random walk and Wiener sausage in 4 dimensions	Room 1
10:00 to 11:00	Vincent Vargas ENS - Paris The semiclassical limit of Liouville conformal field theory	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Beatrice de Tiliere Université Paris-Est Créteil (UPEC) The Z-Dirac and massive Laplacian operators in the Z-invariant Ising model	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:30	Ewain Gwynne Massachusetts Institute of Technology The fractal dimension of Liouville quantum gravity: monotonicity, universality, and bounds	Room 1
14:35 to 15:20	Adrien Kassel ENS - Lyon Quantum spanning forests	Room 1
15:20 to 15:45	Afternoon Tea	No Room Required

Friday 20th July 2018
09:10 to 09:55	Guillaume Remy CNRS - Ecole Normale Superieure Paris Exact formulas on Gaussian multiplicative chaos and Liouville theory	Room 1
10:00 to 11:00	Nicolas Curien Université Paris Saclay Random stable maps : geometry and percolation	Room 1
11:00 to 11:15	Morning Coffee	No Room Required
11:15 to 12:15	Remi Rhodes Université Paris-Est Towards quantum Kähler geometry	Room 1
12:15 to 13:45	Buffet Lunch at INI	No Room Required
13:45 to 14:05	Joshua Pfeffer Massachusetts Institute of Technology External DLA on a spanning-tree-weighted random planar map	Room 1
14:10 to 14:30	Tunan Zhu ENS - Paris Distribution of gaussian multiplicative chaos on the unit interval	Room 1