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Motivic Homotopy Theory and Refined Enumerative Geometry
 
Edited by: Federico Binda Università degli Studi di Milano, Milano, Italy
Marc Levine Universität Duisburg-Essen, Essen, Germany
Manh Toan Nguyen Universität Osnabrück, Osnabrück, Germany
Oliver Röndigs Universität Osnabrück, Osnabrück, Germany
Motivic Homotopy Theory and Refined Enumerative Geometry
Softcover ISBN:  978-1-4704-4898-1
Product Code:  CONM/745
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5455-5
Product Code:  CONM/745.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-4898-1
eBook: ISBN:  978-1-4704-5455-5
Product Code:  CONM/745.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
Motivic Homotopy Theory and Refined Enumerative Geometry
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Motivic Homotopy Theory and Refined Enumerative Geometry
Edited by: Federico Binda Università degli Studi di Milano, Milano, Italy
Marc Levine Universität Duisburg-Essen, Essen, Germany
Manh Toan Nguyen Universität Osnabrück, Osnabrück, Germany
Oliver Röndigs Universität Osnabrück, Osnabrück, Germany
Softcover ISBN:  978-1-4704-4898-1
Product Code:  CONM/745
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5455-5
Product Code:  CONM/745.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-4898-1
eBook ISBN:  978-1-4704-5455-5
Product Code:  CONM/745.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7452020; 267 pp
    MSC: Primary 14

    This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany.

    It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.

    Readership

    Graduate students and research mathematicians interested in enumerative geometry and motivic homology.

  • Table of Contents
     
     
    • Articles
    • Alexey Ananyevskiy — SL-oriented cohomology theories
    • Aravind Asok, Frédéric Déglise and Jan Nagel — The homotopy Leray spectral sequence
    • Candace Bethea, Jesse Leo Kass and Kirsten Wickelgren — Examples of wild ramification in an enriched Riemann–Hurwitz formula
    • Jean Fasel — Lectures on Chow-Witt groups
    • Jens Hornbostel, Heng Xie and Marcus Zibrowius — Chow-Witt rings of split quadrics
    • Marc Levine — Lectures on quadratic enumerative geometry
    • Oliver Röndigs — Remarks on motivic Moore spectra
    • Matthias Wendt — Oriented Schubert calculus in Chow–Witt rings of Grassmannians
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7452020; 267 pp
MSC: Primary 14

This volume contains the proceedings of the Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry, held from May 14–18, 2018, at the Universität Duisburg-Essen, Essen, Germany.

It constitutes an accessible yet swift introduction to a new and active area within algebraic geometry, which connects well with classical intersection theory. Combining both lecture notes aimed at the graduate student level and research articles pointing towards the manifold promising applications of this refined approach, it broadly covers refined enumerative algebraic geometry.

Readership

Graduate students and research mathematicians interested in enumerative geometry and motivic homology.

  • Articles
  • Alexey Ananyevskiy — SL-oriented cohomology theories
  • Aravind Asok, Frédéric Déglise and Jan Nagel — The homotopy Leray spectral sequence
  • Candace Bethea, Jesse Leo Kass and Kirsten Wickelgren — Examples of wild ramification in an enriched Riemann–Hurwitz formula
  • Jean Fasel — Lectures on Chow-Witt groups
  • Jens Hornbostel, Heng Xie and Marcus Zibrowius — Chow-Witt rings of split quadrics
  • Marc Levine — Lectures on quadratic enumerative geometry
  • Oliver Röndigs — Remarks on motivic Moore spectra
  • Matthias Wendt — Oriented Schubert calculus in Chow–Witt rings of Grassmannians
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.