Professor Benamou will hold series of lectu res on:

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**Course description:**

Optimal transport is a fascinating topic that has applications in a wide range of areas in engineering\, medicine\, communications\, geophysical fluid dynam ics\, economics\, statistics etc. After the first optimal transport proble ms were posed by Monge\, the reformulation by Kantorovich led to tractable mathematical analysis and algorithms (as well as a Nobel prize). Mathemat ical optimal transport enjoyed a remarkable revival from the 1990s\, becom ing a flagship example of a research area where theoretical analysis can h ave a direct impact on high performance computations and from there throug h to applications.

\nBased on [1]\, the lecture series will present an overview of the basic theory\, modern optimal transportation extensions and recent algorithmic advances. This is a multidisciplinary topic that c onnects with probability theory\, functional analysis\, numerical analysis and scientific computing. It has applications in medical image analysis\, fluid dynamics\, economics and finance\, and data science. In the course\ , selected modelling and numerical applications will illustrate the impact of optimal transportation in numerical analysis.

\nThis course targ ets academics\, researchers and graduate students in the Statistics\, Appl ied Math- ematics and Pure Mathematics sections\, as well as students from relevant areas of Computer Science\, Physics and Engineering.

\n[1] Jean-David Benamou. Optimal transportation\, modelling and numerical simu lations. Acta Nu- merica (2021)

\nJ ean-David Benamou is Directeur de Recherche at INRIA\, leading MOKAPLAN\, a joint INRIA/CNRS/Université Paris-Dauphine team developing develop nume rical methods\, algorithms and software towards variational problems relat ed to optimal transport\, as well as towards inverse problems in imaging s cience. Jean-David took his PhD in 1989-1992 with Yann Brenier at Universi té Paris Dauphine\, producing the first rigorous analysis of the semigeos trophic equations of atmospheric motion as well as the renowned Brenier-Be namou fluid dynamics interpretation of optimal transport. During his caree r at INRIA Jean-David has contributed significantly to the design\, rigoro us analysis and software implementation of a number of very successful alg orithms for solving optimal transport problems (and related problems in op timisation\, geometric optics\, wave propagation and numerical analysis)\, and has collaborated with practitioners in diverse applications including geophysical inverse problems\, astronomy\, freeform optics\, marine satel lite imaging\, etc.

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