2020/2021

Motivic Geometry

Mathematics

Principal investigators

Paul Arne
Østvær

Professor
University of Oslo (UiO)
Year at CAS

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

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Piotr
Achinger

Assistant Professor
Institute of Mathematics of the Polish Academy of Sciences
Year at CAS

Tom
Bachmann

Postdoctoral Fellow
LMU Munich
Year at CAS
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Viktor Balch
Barth

PhD Candidate
University of Oslo (UiO)
Year at CAS
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Federico
Binda

Assistant Professor
University of Milan
Year at CAS
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Andrei
Druzhinin

Researcher
St. Petersburg State University
Year at CAS
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Adrien
Dubouloz

Researcher
University of Bourgogne
Year at CAS
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Elden
Elmanto

Postdoctoral Fellow
Harvard University
Year at CAS

Grigory
Garkusha

Associate Professor
University of Swansea
Year at CAS

William
Hornslien

PhD Candidate
Norwegian University of Science and Technology (NTNU)
Year at CAS
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Marc
Hoyois

Professor
University of Regensburg
Year at CAS
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Takashi
Kishimoto

Professor
Saitama University
Year at CAS

Håkon
Kolderup

Dr.
Oslo Metropolitan University (OsloMet)
Year at CAS

Marc Noel
Levine

Professor
University of Duisburg-Essen
Year at CAS
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Wieslawa
Niziol

Professor
UMPA, École Normale Supérieure de Lyon
Year at CAS

John Christian
Ottem

Professor
University of Oslo (UiO)
Year at CAS
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Ivan
Panin

Professor
Petersburg Department of Steklov Institute of Mathematics, Russian Academy of Sciences
Year at CAS

Doosung
Park

Postdoctoral Fellow
University of Zurich
Year at CAS
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Sabrina
Pauli

Postdoctoral Fellow
University of Oslo (UiO)
Year at CAS
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Charanya
Ravi

Postdoctoral Fellow
University of Regensburg
Year at CAS

Oliver
Röndigs

Professor
Osnabruck University
Year at CAS
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Shuji
Saito

Professor
University of Tokyo
Year at CAS

Ola
Sande

PhD Candidate
University of Oslo (UiO)
Year at CAS

Frank
Sottile

Professor
Texas A&M University
Year at CAS
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Markus
Spitzweck

Professor
University of Osnabrück
Year at CAS

Therese
Strand

PhD Candidate
Norwegian University of Science and Technology (NTNU)
Year at CAS
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Kirsten
Wickelgren

Professor
Duke University
Year at CAS
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Glen Matthew
Wilson

Postdoctoral Fellow
Norwegian University of Science and Technology (NTNU)
Year at CAS

News

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.

28 October 2020
Professor of Mathematics Paul Arne Østvær explains his CAS project, Motivic Geometry, through the act of painting and a professional biker’s tireless drive to bike on endless roads.

Events