# Rouse Ball Lecture

Created: | 2021-05-31 17:43 |
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Institution: | Department of Pure Maths and Mathematical Statistics |

Description: | This year's Rouse Ball lecture was held on Thursday 13 May at 4pm BST, and was given by Professor Bjorn Poonen of MIT.
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. |

# Media items

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### Media items

#### Rouse Ball Lecture - Undecidability in Number Theory

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This year's Rouse Ball lecture was held on Thursday 13 May at 4pm BST, and was given by Professor Bjorn Poonen of MIT.

**Collection**:
Rouse Ball Lecture

**Institution**:
Department of Pure Maths and Mathematical Statistics

**Created**:
Mon 31 May 2021