Penn Arts & Sciences Logo

Algebra Seminar

Friday, December 8, 2023 - 3:30pm

Andrew Kwon

University of Pennsylvania


University of Pennsylvania

DRL 4N30

Tea will be served as usual at 3:00pm in the Math Lounge, 4th floor, DRL

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.