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Special Colloquium
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Daniel Krashen, Zoom: Local-global principles for algebraic structures at the crossroads of topology and rationality
Wednesday, January 27, 2021, 04:00pm - 05:00pm
Understanding algebraic structures such as Galois extensions, quadratic forms and division algebras, can give important insights into the arithmetic of fields. In this talk, I will discuss recent work showing ways in which the arithmetic of certain fields can be partially described by topological information. I will then describe how these observations lead to arithmetic versions of the Mayer-Vietoris sequences, the Seifert-van Kampen theorem, and examples and counterexamples to local-global principles.
Location: Zoom

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