Optimal Transport for Next Generation (23rit011)

The Banff International Research Station will host the "Optimal Transport for Next Generation" workshop in Banff from July 23 to July 30, 2023.

Optimal transportation is one of the most rapidly developing areas in mathematics and its applications. The theory has gained prominent applications in multiple areas of mathe- matical sciences, such as analysis, probability, data science and economics. Certain parts of the field have emerged, and exploded in popularity, since the publica- tion of the excellent existing textbooks on the topic, including those by Villani (2003 and 2009) and Santambrogio (2015). As a consequence, areas such as entropic regularization, which have transformed applications in data science, have never been covered in depth in traditional textbooks. Books by Cuturi-Peyre (2018) and Galichon (2016) cover some of these topics, but are each geared towards particular areas of application – our goal is to write a general textbook covering the more recent theory, with an eye to its applications in a broad range of areas.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).