Since Arnold's paper in 1966, it has been well-known that solutions of the Euler equations
for ideal fluids in a domain correspond to geodesics in the group of volume-preserving diffeomorphisms
of the domain. Conjugate points correspond to when these geodesics fail to minimize length between
their endpoints. Misiolek found the first conjugate points in 1993, and since then many more examples
have been discovered. I will give a survey of the basic facts about them and recent results from myself
and others, including the important difference between the 2D and 3D cases.
The talk will be via Zoom at:
https://utoronto.zoom.us/j/99576627828
Passcode: 448487