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The Plenary Speakers of this workshop are: (1) Zdzislaw Brzezniak (University of York, UK) (2) David Elworthy (University of Warwick, UK) (3) Istvan Gyongy (University of Edinburgh, UK) (4) Martin Hairer (University of Warwick, UK) (5) Xue-Mei Li (University of Warwick, UK) (6) Terry Lyons (University of Oxford, UK) (7) Alexander Yu Veretennikov (University of Leeds, UK). The workshop will be divided into two parts, separated by the weekend. The first part will be devoted to a gentle introduction to the theories of Stochastic Differential Equations on Euclidean spaces, manifolds, and infinite dimensional spaces; Stochastic Partial Differential Equations, use of Banach spaces, smooth structures on non-linear function spaces, Malliavin calculus, rough paths theory (both in time and space sense). In the second week, plenary speakers will give expository lectures on the most recent results concerning their expertise.