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Beilinson-Parshin adeles via solid algebraic geometry
Chris Brav, Moscow Institute of Physics and Technology
We give an introduction to solid algebraic geometry, in the sense of Clausen-Scholze, a refinement of classical algebraic geometry built on spectra of solid rings, a certain category of “topological” rings including classical adic-like topological algebras. We show that the additional locality afforded by working with a larger collection of test spectra leads to a new construction of adelic decompositions of quasi-coherent sheaves, in the form of Beilinson-Parshin. This is joint work Grigory Konovalov.
2023-12-23 10:30-11:30
Room A-110, TSIMF
Beilinson-Parshin adeles via solid algebraic geometry - Chris Brav
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