Motivic Homotopy Theory and Refined Enumerative Geometry

ISBN-13: 9781470448981

Federico Binda;Marc Levine;Manh Toan Nguyen

Opis

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

Spis treści

• A. Ananyevskiy, SL-oriented cohomology theories
• A. Asok, F. Deglise, and J. Nagel, The homotopy Leray spectral sequence
• C. Bethea, J. L. Kass, and K. Wickelgren, Examples of wild ramification in an enriched Riemann-Hurwitz formula
• J. Fasel, Lectures on Chow-Witt groups
• J. Hornbostel, H. Xie, and M. Zibrowius, Chow-Witt rings of split quadrics
• M. Levine, Lectures on quadratic enumerative geometry
• O. Rondigs, Remarks on motivic Moore spectra
• M. Wendt, Oriented Schubert calculus in Chow-Witt rings of Grassmannians.