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（京都大学数理解析研究所420号室）
• Organizers: Naotaka Kajino (Kobe University, Chair), Takashi Kumagai (Kyoto University), Daisuke Shiraishi (Kyoto University)
• No pre-registration is required for participating in this workshop. For participation in the workshop banquet, see below.

Keynote Speakers

• Nathanaël Berestycki (University of Vienna)
• Oren Louidor (Technion - Israel Institute of Technology)
• Jason P. Miller (University of Cambridge)
• Scott Sheffield (Massachusetts Institute of Technology)
• Vincent Vargas (École normale supérieure)
• Hao Wu (Tsinghua University)

Invited Speakers

• Yoshihiro Abe (Gakushuin University)
• Masatoshi Fukushima (Osaka University)
• Ryoki Fukushima (Kyoto University)
• Jan de Gier (University of Melbourne)
• Makoto Katori (Chuo University)
• Hiroshi Kawabi (Keio University)
• Seiichiro Kusuoka (Okayama University)
• Takuya Murayama (Kyoto University)
• Shuta Nakajima (Kyoto University)
• Makoto Nakashima (Nagoya University)
• Yoichi Oshima (Kumamoto University)
• Hironobu Sakagawa (Keio University)
• Tomohiro Sasamoto (Tokyo Institute of Technology)

Schedule

Program (pdf version) (pdf version with abstracts)

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)

• 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)

• 14:00 - 14:50  Hao Wu (Tsinghua University)
  Gaussian free field: level lines and connection probabilities (II)

• 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)

• 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)

• 14:00 - 14:50  Nathanaël Berestycki (University of Vienna)
  Dimers and imaginary geometry (II)

• 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

20 September 2018 (Thursday)

• 9:50 - 10:40  Scott Sheffield (Massachusetts Institute of Technology)
  Universal randomness in 2D (I)

• 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

• 14:00 - 14:50  Scott Sheffield (Massachusetts Institute of Technology)
  Universal randomness in 2D (II)

• 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)

• 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

• 14:00 - 14:50  Oren Louidor (Technion - Israel Institute of Technology)
  Extreme and large values of the discrete Gaussian free field (II)

• 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

Workshop Banquet

• Date: 19 September 2018 (2nd day of the workshop)
• Time: 18:00 - (approx.) 20:30
• Place: Ganko Takasegawa Nijoen
• Cost: 6,000 JPY

Financial Supports

• JSPS Grant-in-Aid for Scientific Research (S) Grant Number 16H06338
  「無限粒子系の確率解析学」
  (Principal Investigator: Hurofumi Osada (Graduate School of Mathematics, Kyushu University))
• JSPS Grant-in-Aid for Scientific Research (B) Grant Number 17H02849
  「空間の構造と解析の関わりーフラクタルを出発点としてー」
  (Principal Investigator: Jun Kigami (Graduate School of Informatics, Kyoto University))
• JSPS Grant-in-Aid for Scientific Research (A) Grant Number 17H01093
  「複雑な系の上の異常拡散現象の解析」
  (Principal Investigator: Takashi Kumagai (Research Institute for Mathematical Sciences, Kyoto University))
• JSPS Grant-in-Aid for Scientific Research (B) Grant Number 18H01123
  「分野横断的視点によるフラクタル及びその上の確率過程の解析・幾何」
  (Principal Investigator: Naotaka Kajino (Graduate School of Science, Kobe University))

Naotaka Kajino
Department of Mathematics, Graduate School of Science, Kobe University,
Rokkodai-cho 1-1, Nada-ku, 657-8501 Kobe, Japan
Office: Faculty of Science Building B, Room B426
Tel: +81-78-803-5616
Fax: +81-78-803-5610
E-mail: nkajino ``at" math.kobe-u.ac.jp