Seminar
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| Location: | SLMath: Online/Virtual |
Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Everywhere Local Solubility For Hypersurfaces In Products Of Projective Spaces
Valuation theory plays a major part in the interaction between number theory and logic. In this seminar, a variety of topics from valuation theory, and in particular connections to model theory, will be discussed. There will be a strong emphasis on results involving the definability of valuations.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Abstract: Poonen and Voloch proved that the Hasse principle holds for either 100% or 0% of most families of hypersurfaces (specified by degrees and the number of variables). In this joint work with Tom Fisher and Wei Ho, we study one of the special families of hypersurfaces not accounted for by Poonen and Voloch, and we show that the explicit proportion of everywhere locally soluble (2,2)-curves in P^1 x P^1 is about 87.4%.
No Notes/Supplements UploadedEverywhere Local Solubility For Hypersurfaces In Products Of Projective Spaces
| H.264 Video | 25219_28733_8623_Everywhere_Local_Solubility_for_Hypersurfaces_in_Products_of_Projective_Spaces.mp4 |