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CATEGORIES:Academics,Lectures/Seminars
DESCRIPTION:Abstract: \n\nCosmic Microwave Background (CMB) is the radiatio
n remnant from the Big Bang and is considered as a primary source of inform
ation regarding the early universe. From the work of Sachs and Wolfe (1967)
\, it is known that one can extract an X-ray transform (called the light ra
y transform) of the early gravitational perturbations by considering the li
nearization of the CMB anisotropies. We discuss recent results about the tr
ansform and the inverse problem of recovering gravitational perturbations.
We explain the essential ingredient in the analysis which is the microlocal
property of the light ray transform and its interplay with hyperbolic type
PDEs. Also\, we explore the transport equation theory for the light ray tr
ansform and discuss the application to inverse source problems for the Bolt
zmann equation in the CMB kinetic theory as well as some nonlinear problems
in Nordstrom’s scalar gravitation theory.\n\nBio: \n\nDr. Yiran Wang is an
Assistant Professor at the Department of Mathematics\, Emory University. B
efore that\, he was a Postdoc Scholar at Stanford University working with P
rof. András Vasy. He also worked with Prof. Gunther Uhlmann as an Acting As
sistant Professor at the University of Washington with a joint position at
IAS\, HKUST. He obtained his Ph.D. degree from Purdue University under the
supervision of Prof. Antônio Sá Barreto. His research interests are microlo
cal analysis\, inverse problems\, integral geometry\, spectral\, and scatte
ring theory.
DTEND:20220225T190000Z
DTSTAMP:20231201T160323Z
DTSTART:20220225T180000Z
LOCATION:
SEQUENCE:0
SUMMARY:"Mathematical Problems in Cosmological X-ray Tomography"
UID:tag:localist.com\,2008:EventInstance_39244414198476
URL:https://events.mtu.edu/event/mathematical_problems_in_cosmological_x-ra
y_tomography
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