|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Most odd degree hyperelliptic curves have only one rational point|
|Affiliation:||Massachusetts Institute of Technology|
|Date:||Thursday, March 26|
|Time/Room:||4:30pm - 5:30pm/S-101|
We prove that the probability that a curve of the form $y^2 = f(x)$ over $\mathbb Q$ with $\deg f = 2g + 1$ has no rational point other than the point at infinity tends to 1 as $g$ tends to infinity. This is joint work with Michael Stoll.