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Motivic Homotopy Theory and Refined Enumerative Geometry
About this Title
Federico Binda, Università degli Studi di Milano, Milano, Italy, Marc Levine, Universität Duisburg-Essen, Essen, Germany, Manh Toan Nguyen, Universität Osnabrück, Osnabrück, Germany and Oliver Röndigs, Universität Osnabrück, Osnabrück, Germany, Editors
Publication: Contemporary Mathematics
Publication Year: 2020; Volume 745
ISBNs: 978-1-4704-4898-1 (print); 978-1-4704-5455-5 (online)
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.
Graduate students and research mathematicians interested in enumerative geometry and motivic homology.
Table of Contents
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- 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