Surreal Ordered Exponential Fields
Explore the fascinating world of surreal ordered exponential fields in this 59-minute seminar presented by Elliot Kaplan from Fields Institute/McMaster University. Delve into the intricacies of surreal numbers, their tree structure, and exponential properties. Investigate Hahn fields, initial subfields of No, and exponential subfields. Examine the concept of transseries fields and their role in modeling real exponentiation. Gain insights into elementary extensions of R and discover partial answers to complex mathematical questions. This thought-provoking talk, part of the 2021-2022 Geometry and Model Theory Seminar series, offers a deep dive into advanced mathematical concepts for those interested in surreal number theory and its applications.