Seminar
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| Location: | SLMath: Online/Virtual |
This seminar will focus on Diophantine problems in a broad sense, with a view towards (but not limited to) interactions between Number Theory and Logic. Particular attention will be given to topics with the potential of further developments in the context of this MSRI scientific program. This will provide an opportunity for researchers to update on new results, techniques and some of the main problems of the field.
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
To participate in this seminar, please register here: https://www.msri.org/seminars/25206
Given an algebraic variety over the rational numbers, how can we decide if we can find rational/integral points on it? And assuming that there are rational/integral points, under what circumstances can we count them in a meaningful way? What can we say about the number of rational points close to algebraic varieties or smooth manifolds? These and related questions are going to be the topic of this talk. We are going to focus on situations where analytic tools play a key role in finding answers.
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