RIMS Research Project（RIMS 共同研究（公開型））：

Gaussian Free Fields and Related Topics（ガウス自由場および関連する話題）
Dates: 18 September 2018 (Tuesday) 9:45 – 21 September 2018 (Friday) 16:50
Venue: Room 420, Research Institute for Mathematical Sciences (RIMS), Kyoto University
Organizers: Naotaka Kajino (Kobe University, Chair)
Takashi Kumagai (Kyoto University)
Daisuke Shiraishi (Kyoto University)

Program
9:50–10:40
10:40–11:00
11:00–11:40
11:50–12:40
12:40–14:00
14:00–14:50
14:50–15:10
15:10–15:50
16:00–16:40
16:50–17:30
18:00–

Sept. 18 (Tue.)
Wu(Tea Break)
SakagawaVargas(Lunch Break)
Wu(Tea Break)
Murayama
R. Fukushima

Sept. 19 (Wed.)
Berestycki(Tea Break)Katori
Vargas(Lunch Break)Berestycki(Tea Break)Nakajima
KawabiWorkshop Banquet

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Sept. 20 (Thu.)Sheﬃeld(Tea Break)Nakashima
Miller(Lunch Break)Sheﬃeld(Tea Break)de Gier
Sasamoto
Kusuoka

Sept. 21 (Fri.)
Louidor(Tea Break)
AbeMiller(Lunch Break)
Louidor(Tea Break)M. Fukushima
Oshima18 September 2018 (Tuesday)• 9:45–9:50 Opening Remarks• 9:50–10:40 Hao Wu (Tsinghua University)
Gaussian free field: level lines and connection probabilities (I)(Tea break for 20 minutes)• 11:00–11:40 Hironobu Sakagawa (Keio University)
Localization of a Gaussian membrane model with weak pinning potentials• 11:50–12:40 Vincent Vargas (École normale supérieure)
An introduction to Liouville conformal field theory (I)(Lunch break for 80 minutes)• 14:00–14:50 Hao Wu (Tsinghua University)
Gaussian free field: level lines and connection probabilities (II)(Tea break for 20 minutes)• 15:10–15:50 Takuya Murayama (Kyoto University)
Characterization of the explosion time for the Komatu–Loewner evolution• 16:00–16:40 Ryoki Fukushima (Kyoto University)
Tail estimates for the random walk in random scenery

19 September 2018 (Wednesday)• 9:50–10:40 Nathanaël Berestycki (University of Vienna)
Dimers and imaginary geometry (I)(Tea break for 20 minutes)• 11:00–11:40 Makoto Katori (Chuo University)
Elliptic DPP, one-component plasma, and GFF• 11:50–12:40 Vincent Vargas (École normale supérieure)
An introduction to Liouville conformal field theory (II)(Lunch break for 80 minutes)• 14:00–14:50 Nathanaël Berestycki (University of Vienna)
Dimers and imaginary geometry (II)(Tea break for 20 minutes)• 15:10–15:50 Shuta Nakajima (Kyoto University)
Ergodic property of the number of infinite geodesics in first-passage percolation• 16:00–16:40 Hiroshi Kawabi (Keio University)
Riemannian Wasserstein geometry on the space of Gaussian measures over the Wiener space
18:00– Workshop Banquet2

20 September 2018 (Thursday)• 9:50–10:40 Scott Sheﬃeld (Massachusetts Institute of Technology)
Universal randomness in 2D (I)(Tea break for 20 minutes)• 11:00–11:40 Makoto Nakashima (Nagoya University)Free energy of directed polymers in random environment• 11:50–12:40 Jason P. Miller (University of Cambridge)
Quantum gravity zipper(Lunch break for 80 minutes)• 14:00–14:50 Scott Sheﬃeld (Massachusetts Institute of Technology)
Universal randomness in 2D (II)(Tea break for 20 minutes)• 15:10–15:50 Jan de Gier (University of Melbourne)
Six vertex limit shape outside the free fermion point• 16:00–16:40 Tomohiro Sasamoto (Tokyo Institute of Technology)
Fluctuations of the stochastic higher spin six vertex model• 16:50–17:30 Seiichiro Kusuoka (Okayama University)
The invariant measure and flow associated to the Phi4-quantum field model on the three-dimensional
torus

21 September 2018 (Friday)• 9:50–10:40 Oren Louidor (Technion - Israel Institute of Technology)
Extreme and large values of the discrete Gaussian free field (I)(Tea break for 20 minutes)• 11:00–11:40 Yoshihiro Abe (Gakushuin University)
Thick points for simple random walk on two-dimensional lattice• 11:50–12:40 Jason P. Miller (University of Cambridge)
Random walks on random planar maps
(Lunch break for 80 minutes)• 14:00–14:50 Oren Louidor (Technion - Israel Institute of Technology)
Extreme and large values of the discrete Gaussian free field (II)(Tea break for 20 minutes)• 15:10–15:50 Masatoshi Fukushima (Osaka University)
Gaussian fields, equilibrium potentials and Liouville random measures for Dirichlet forms I• 16:00–16:40 Yoichi Oshima (Kumamoto University)
Gaussian fields, equilibrium potentials and Liouville random measures for Dirichlet forms II(End of Workshop)
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