Andras Vasy (Stanford)

Tuesday, May 10, 2022 - 4:00pm to 5:00pm

Tuesday PDL C-401

The geodesic X-ray transform of a function on a manifold is

the map associating to each geodesic the integral of the function

along the geodesic, defined under appropriate conditions. A basic

question is the injectivity of this transform, together with estimates

for the left inverse, and possible algorithms for constructing such a

left inverse. Much progress has been made on this, as well as

non-linear extensions, such as the boundary rigidity problem, over the

past decade. I will discuss more recent work on this both in the

context of bounded domains and in asymptotically conic spaces, the

latter being joint work with Evangelie Zachos.