# Minerva Lecture II: Logic, Elliptic curves, and Diophantine stability

Wednesday, October 15, 2014 -

4:30pm to 5:30pm

Minerva Lecture II: An introduction to aspects of mathematical logic and the arithmetic of elliptic curves that make these branches of mathematics inspiring to each other. Specifically: algebraic curves - other than the projective line - over number fields tend to acquire no new rational points over many extension fields. This feature (which I call 'diophantine stability') makes elliptic curves, in particular, useful as vehicles to establish diophantine unsolvability for many large rings. To repay the debt, mathematical logic offers consequences to the arithmetic of elliptic curves over decidable rings. I will also discuss new results about diophantine stability.

Speaker:

Barry Charles Mazur

Gerhard Gade University Professor at Harvard University

Event Location:

McDonnell Hall A01