Kyle Larson: Brieskorn spheres bounding rational balls

I will discuss a construction of rational homology balls bounded by two
infinite families of Brieskorn homology 3-spheres. These Brieskorn spheres
have non-trivial Rokhlin invariant and so do not bound integral homology
balls, and they are the first new examples since the 1980's, when Fintushel
and Stern constructed a rational ball bounded by Sigma(2,3,7). I will also
discuss some related problems. This is joint work with Selman Akbulut.