Isaac newton physics4/6/2023 Ajneet Dhillon University of Western Ontario.Rob de Jeu Vrije Universiteit Amsterdam.Man Wai Cheung Institute for the Physics and Mathematics of the Universe (IPMU).Patrick Brosnan University of Maryland, College Park.Federico Binda University of Milan Università degli Studi di Milano.Aravind Asok University of Southern California.Alexey Ananyevskiy None / Other Steklov Mathematical Institute, Russian Academy of Sciences.They will be preceded by several more introductory/background talks by Dona Arapura, Fred Diamond, Netan Dogra, Mahesh Kakde and Chuck Weibel in the week 6th-10th June.Ĭlick here to download the programme's final scientific report During this continuation there will be three conference level workshops, one for each of the three areas listed above, aimed at the latest developments and applications of that area. In the 2020 part of the programme a workshop took place, which was aimed at giving a younger generation of mathematicians an overview of and introduction to this interesting, but broad area. This programme is the continuation of the partly cancelled programme of the same name in 2020. Hodge theory, Periods, Regulators, and Arithmetic Geometry įor this, we shall bring together mathematicians working on different aspects of this broad area for extended periods of time, promoting exchange of ideas and stimulating further progress.Algebraic K-theory, Motivic Cohomology, and Motivic Homotopy Theory. The programme will also specifically explore the connections between the following areas: In recent years it has seen some spectacular developments, on which we want to build further. The theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck's legacy. It was in the 1960s that Grothendieck first observed that the various cohomology theories for algebraic varieties shared common properties, which led him to explain the underlying kinship of such cohomology theories in terms of a universal motivic cohomology theory of algebraic varieties. These are fields at the heart of studying algebraic varieties from a cohomological point of view, which have applications to several other fields like Arithmetic Geometry, Hodge theory and Mathematical Physics. The programme will focus on the areas of Algebraic K-theory, Algebraic Cycles and Motivic Homotopy Theory.
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