Large fields, as introduced by Pop, have rich Galois-theoretic and arithmetic properties. We will sample a variety of these to accommodate different tastes with the aim of discussing diophantine subsets of large fields. In particular, we extend a result of Fehm by showing that diophantine subsets of perfect large fields cannot be contained in any finite union of proper subfields. Along the way, we will highlight many results and questions that seem to be worthy of exploration in their own right.
Algebra Seminar
Friday, December 8, 2023 - 3:30pm
Andrew Kwon
University of Pennsylvania
Other Events on This Day
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Super-Algebraic Geometry and Supermanifolds
Algebraic Geometry Student Research Seminar
10:00am