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Bjorn Poonen, MIT
Monday 27 April 2020, 12:00-13:00
CANCELLED - Undecidability in number theory
- đ¤ Speaker: Bjorn Poonen, MIT
- đ Date & Time: Monday 27 April 2020, 12:00 - 13:00
- đ Venue: Room 3, Mill Lane Lecture Rooms, 8 Mill Lane, Cambridge
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Ivan Smith
Abstract
Hilbert’s tenth problem asked for an algorithm that, given a multivariable polynomial equation with integer coefficients, would decide whether there exists a solution in integers. Around 1970, Matiyasevich, building on earlier work of Davis, Putnam, and Robinson, showed that no such algorithm exists. But the answer to the analogous question with integers replaced by rational numbers is still unknown, and there is not even agreement among experts as to what the answer should be.
Series This talk is part of the Rouse Ball Lectures series.
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