Mathematics Algebra and Topology Seminar - Eoin Mackall

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Date: November 9, 2022
Time: 1:30 p.m. - 2:30 p.m.
Location: Faculty/Administration # 1140 | Map
Category: Seminar

Speaker: Eoin Mackall, University of Maryland, College Park

Title: Naive $mathbb{A}^1$-homotopy equivalences and theorems of Whitehead and Zariski

Absract: A naive A^{1}-homotopy between morphisms f,g from a variety X to a variety Y is a cycle on (XxA^{1})xY whose support is finite and surjective over XxA^{1} and whose fibers over 0 and 1 are the graphs of f and g respectively. Using this notion of naive A^{1}-homotopy, one can define naive A^{1}-homotopy equivalences of varieties. In this talk, we’ll discuss how an analog of a theorem of Whitehead can be used to show that there are no nontrivial A^{1}-homotopy equivalences between smooth projective varieties.

Contact

Department of Mathematics
3135772479
math@wayne.edu

Cost

Free
November 2022
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