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.
Paul Arne ØstværTitle Professor Institution University of Oslo (UiO) Year at CAS 2020/2021