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
8Wickelgren
Using the EisenbudKhimshiashviliLevine local degree, which is the A1local 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 nonalgebraically closed fields. This is joint work with Jesse Kass and Jake Solomon, and will also contain joint work with Padmavathi Srinivasan.
Notes

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8Wickelgren
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