An arithmetic enrichment of the degree of a finite map, and applications to enumerative geometry
Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
A^1 homotopy theory
enumerative geometry
8-Wickelgren
Using the Eisenbud-Khimshiashvili-Levine local degree, which is the A1-local degree of Morel in A1 homotopy theory, we define a degree of a finite map between smooth schemes over k. When the target is appropriately connected, this degree is a bilinear form over k. We discuss some applications to enumerative geometry over non-algebraically closed fields. This is joint work with Jesse Kass and Jake Solomon, and will also contain joint work with Padmavathi Srinivasan.
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8-Wickelgren
H.264 Video | 873_26348_7683_8-Wickelgren.mp4 |
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