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Group actions on schemes and homotopy types
If you have a question about this talk, please contact Caucher Birkar.
One of the primary goals of arithmetic geometry is to find rational points on algebraic varieties over arithmetically interesting fields in terms of computable invariants of the variety. It is possible to interpret this question as a determination of the fixed point set of a group action on a scheme using some homotopy type. I will talk about some of the complex algebraic geometry this philosophy leads us, as well as some related stories over real closed, p-adic and global fields.
This talk is part of the Algebraic Geometry Seminar series.
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