Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
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It is often the case that in concrete Diophantine problems it is not enough to show that the rational points on a variety are algebraically degenerate; one also needs to describe their Zariski closure. In arithmetic questions such as Vojta's conjecture and the Bombieri-Lang conjecture, this Zariski closure is referred to as the special set. In this talk I will explain some techniques based in omega-integrality to describe the special set in Diophantine conjectures over number fields and function fields, and to prove some instances of these conjectures in the function field case.
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Arithmetic Conjectures and their Special Sets
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