First Annual Coven-Wood Lecture Series, Bjorn Poonen (MIT): 'Undecidability in number theory'

Monday, April 20, 2015
4:15 PM - 5:15 PM (ET)
Shanklin 107 (Kerr Lecture Hall)
Event Type
Lecture
Contact
Philip Scowcroft, pscowcroft@wesleyan.edu
Department
Academic
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=48504

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.

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