# Programme

**Monday 1st September (All Lectures in Room MS.02)**

09:30 Registration in Room B1.37 and Coffee in the Mathematics Institute Common Room

10:30 **H. Kunita** (Kyushu) *Stochastic Flows and Adjoint Processes*

11:30 **H. Osada** (Kyushu University)*Infinite-dimensional Stochastic Differential Equations Arising From Random Matrix Theory I*

12:30 Lunch in the Mathematics Institute Common Room

14:00 **Tom Cass** (Imperial) *Constrained Rough Paths*

14:30 **Horatio Boedihardjo** (Oxford)*Iterated Integrals of a Rough Path: Uniqueness*

15:00 Tea in the Mathematics Institute Common Room

15:45 **Seiichiro Kusuoka** (Kyoto) *Hölder and Lipschitz Continuity of the Solutions to Parabolic Equations of Non-divergence **Type*

16:15 **Martin Hairer** (Warwick) *Regularity Structures I*

17:45 Welcome reception and celebration in the Mathematics Institute Common Room

19:00 Dinner in the Mathematics Institute Common Room

**Tuesday 2nd September (All Lectures in Room MS.02)**

09:30 **Kazuhiro Kuwae** (Kumamoto) *Gaugeability and Conditional Gaugeability for Generalized Feynman-Kac Functionals*

10:00 **H. Zhao** (Loughborough) *Random Periodic Solutions*

10:30 Coffee in the Mathematics Institute Common Room

11:15 **Tomoyuki Shirai** (Kyushu)*Absolute Continuity and Singularity for the Ginibre Point Process and its Palm Measures*

11:45** H. Osada** (Kyushu University)* Infinite-dimensional Stochastic Differential Equations Arising From Random Matrix Theory II*

12:45 Lunch in the Mathematics Institute Common Room

13:40 Posters

14:00 **Yue Wu** (Loughborough) *Random Periodic Solutions of SDEs With Linear Multiplicative Noise*

**James Thompson** (Warwick) *An Asymptotic Relation for the Integrated Heat Kernel*

**Nobuaki Naganuma** (Tohoku) *Exact Convergence Rate of the Wong-Zakai Approximation to RDEs Driven by Gaussian **Rough Paths*

14:45 **Wilfrid Kendall** (Warwick) *Shy Couplings, CAT(0) Spaces, and the Lion and Man*

15:15 Tea in the Mathematics Institute Common Room

15:45 **Kazumasa Kuwada** (Tokyo Institute of Technology) *On the Speed in Transportation Costs of Heat Distributions*

16:15 **Thierry Levy** (Paris 6 ) *Two Dimensional Yang-Mills Theory: A Case Study in Non-perturbative Gauge Theory I*

17:30 Wine and Nibbles in the Mathematics Institute Common Room

**Wednesday 3rd September (All Lectures in Room MS.01)**

09:30 **Martin Hairer** (Warwick) *Regularity Structures II*

10:30 Coffee in the Mathematics Institute Common Room

11:00 **Kiyotaki Suzaki** (Osaka) *An SDE Approach to Leafwise Diffusions on Foliated Spaces and its Applications*

11:15 **Tusheng Zhang** (Manchester University) *Smoothness of Solutions of SDEs With Singular Coefficients*

11:45 **Thierry Levy** (Paris 6 ) *Two Dimensional Yang-Mills Theory: A Case Study in Non-perturbative Gauge Theory II*

12:45 Lunch in the Mathematics Institute Common Room

Free Afternoon: 17:30 Wine and Nibbles in the Mathematics Institute Common Room

18:30 for19:00 Dinner at The Red Lion, Hunningham

**Thursday 4th September (All Lectures in Room MS.01)**

09:30 **D. Crisan** (Imperial) *Kusuoka-Stroock Gradient Bounds for the Solution of the Filtering Equation*

10:00 **Michela Ottobre** (Imperial) *Diffusion Limit for Random Walk Metropolis Algorithm out of Stationarity*

10:30 Coffee in the Mathematics Institute Common Room

11:15 **Setsuo Taniguchi** (Kyushu University) *Diffusion Processes on CR-manifolds*

11:45 **H. Osada** (Kyushu University)*Infinite-dimensional Stochastic Differential Equations Arising From Random Matrix Theory III*

12:45 Lunch in the Mathematics Institute Common Room

13:40 **Posters**

14:00 **Maria Veretennikova** (Warwick) *Controlled Fractional Dynamics*

**Christian Fonseca-Mora** (Sheffield) *Stochastic Partial Differential Equations with Lévy Noise in Duals of Nuclear Spaces*

**Carina Geldhauser** (Bonn) *Existence of Solutions to an SPDE with Longrange Interactions*

14:45 **Yuzuru Inahama** (Nagoya) *Short Time Kernel Asymptotics for Rough Differential Equation Driven by Fractional **Brownian motion*

15:15 Tea in the Mathematics Institute Common Room

16:00 **Martin Hairer** (Warwick) *Regularity Structures III*

17:00 Wine and nibbles in the Mathematics Institute Common Room

**Friday 5th September (All Lectures in Room MS.01)**

09:30 **Takafumi Amaba** (Ritsumeikan University, Shiga) *An Integration by Parts on Space of Loops*

10:00** Yuxin Yang** (Imperial) *The Clark-Ocone Approach to Hodge Theory by Examples*

10:30 Coffee in the Mathematics Institute Common Room

11:15 **Ryoichi Suzuki** (Keio)* Explicit Representations of Locally Risk-minimizing Hedging Strategy for Lévy Markets*

11:30 **Hiroshi Kawabi** (Okayama University) *Weak Convergence of Laws of Nonsymmetric Random Walks on Crystal Lattices*

12:00** Thierry Levy** (Paris 6 ) *Two Dimensional Yang-Mills Theory: A Case Study in Non-perturbative Gauge Theory III*

13:00 Lunch in the Mathematics Institute Common Room

14:00 **David Applebaum** (Sheffield) *Stationary Random Fields on Unitary Duals of Compact Groups*

14:30 **Naotaka Kajino** (Kobe University) *Continuity and Estimates of the Transition Density of the Liouville Brownian Motion*

15:00 Tea in the Mathematics Institute Common Room

15:45** Neils Jacob** (Swansea) *Transition Functions of Levy Processes and Geometry*

16:15 **Masatoshi Fukushima** (Osaka) Stochastic Komatu-Loewner Evolutions and Brownian Motion With Darning