Seminar
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| Location: | SLMath: Online/Virtual |
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Defining Subrings Using Kato Principles
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Abstract:
Quadratic forms have been used to great effect for definability results, already in J. Robinson's definition of Z in Q. Over global fields, much of their utility comes from the Hasse-Minkowski Theorem and quadratic reciprocity. I will discuss higher-dimensional generalisations of these foundational properties due to Kato, and how these lead to definability results for subrings in finitely generated fields in joint work with F. Pop (the crucial step towards the positive solution to the Elementary Equivalence versus Isomorphism Problem for these fields), and universal definability of subalgebras in one-variable function fields over local or global fields in joint work with N. Daans (inspired by Koenigsmann's universal definition of Z in Q).
No Notes/Supplements UploadedDefining Subrings Using Kato Principles
| H.264 Video | 25230_28780_8567_Defining_Subrings_Using_Kato_Principles.mp4 |