24 June 2021
Researchers at the Centre for Advanced Study have contributed to advancing the rapidly developing field of motivic geometry during their year at the Centre.
2020/2021
Motivic Geometry
Motivic Geometry
Mathematics
Principal investigators
Abstract
Motivic Geometry is an interdisciplinary high-risk project in the mathematical sciences. By bringing together world-leading experts in motivic homotopy theory, affine algebraic geometry and enumerative geometry, we aim at reaching decisive results and shape the future research directions in these subjects. The inflection point we find ourselves at today consists of a deepening of the creative interplay between these areas, with dramatic and quite unexpected connections such as a motivic Poincaré conjecture coming into focus. Based on the research methodology employing explicit calculations we can realistically expect a jump of knowledge in this area of research at CAS in 2020/21.
Fellows
Piotr
Achinger
Assistant Professor
Institute of Mathematics of the Polish Academy of Sciences
Year at CAS
William
Hornslien
PhD Candidate
Norwegian University of Science and Technology (NTNU)
Year at CAS
Ivan
Panin
Professor
Petersburg Department of Steklov Institute of Mathematics, Russian Academy of Sciences
Year at CAS
Therese
Strand
PhD Candidate
Norwegian University of Science and Technology (NTNU)
Year at CAS
Glen Matthew
Wilson
Postdoctoral Fellow
Norwegian University of Science and Technology (NTNU)
Year at CAS
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