תאריך:
ה', 08/06/202314:30-15:30
Title: An introduction to enumerative geometry and its quadratic refinement
Abstract: This will be an overview lecture for non-experts. We will discuss some basic problems in classical enumerative geometry and introduce some of the algebraic tools and methods that have been developed to solve them, including the Chow ring, intersection theory on Grassmannians, Chern classes and degree maps. We will then give some ideas of how these can be refined to deliver interesting invariants in the Grothendieck-Witt ring of quadratic forms, refining the integer-valued invariants given by the classical theory via the rank map, and yielding some of the enumerative invariants found in real algebraic geometry by taking the signature.
Live broadcast and recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=c77315a4-ed51-4353-8e28-affc00e58656
Abstract: This will be an overview lecture for non-experts. We will discuss some basic problems in classical enumerative geometry and introduce some of the algebraic tools and methods that have been developed to solve them, including the Chow ring, intersection theory on Grassmannians, Chern classes and degree maps. We will then give some ideas of how these can be refined to deliver interesting invariants in the Grothendieck-Witt ring of quadratic forms, refining the integer-valued invariants given by the classical theory via the rank map, and yielding some of the enumerative invariants found in real algebraic geometry by taking the signature.
Live broadcast and recording: https://huji.cloud.panopto.eu/Panopto/Pages/Viewer.aspx?id=c77315a4-ed51-4353-8e28-affc00e58656