UBC Mathematics Colloquium
Leo Tzou
(Stanford University)
The Calderon Problem - from the past to the present
Mon., Jan. 25, 2010, 4:00pm, MATX 1100
Abstract:
The problem of determining the electrical conductivity of a body by
making voltage and current measurements on the object's surface has
various applications in fields such as oil exploration and early
detection of malignant breast tumour. This classical problem posed by
Calder\'on remained open until the late '80s when it was finally solved
in a breakthrough paper by Sylvester-Uhlmann. In the recent years,
geometry has played an important role in this problem. We will look at
the connection between this analysis problem with seemingly unrelated
fields such as symplectic geometry and differential topology as well as
geometric scattering theory.
The speaker is partially supported by NSF Grant No. DMS-0807502