The Inverse problems group at the University of Helsinki organizes a (roughly) monthly seminar. Please write to marvin.knoller@helsinki.fi in order to be added to the newsletter, and never miss a seminar again!
Inverse problems are a branch of mathematics with both pure and applied aspects. In physics, engineering and other sciences, the focus usually lies in inferring effects from causes, i.e. in solving a so-called forward problem. What is inverted in an inverse problem is the causality: When we consider an inverse problem, we start with partial knowledge of the result (and perhaps of the causes), and our objective is to infer more about its causes.
The Helsinki Inverse Problem Seminar (HIPSem) is a series of lectures organized at the University of Helsinki by the Inverse Problems research group.
We discuss both pure mathematics and applications, as we have very wide research interests. Examples include geometric inverse problems, inverse problems for PDEs, invisibility cloaking, metamaterials, statistical inverse problems, computational inverse problems, X-ray and electrical impedance tomography, photographical imaging, and many more. Read more about our research at this webpage.
Besides our own members, we often host visiting scholars as speakers.
Time & Location: Thursday, 3 December at 14:15, room B222 (Exactum)
Speaker: Derek Schutt, Colorado State University
Title: tba
Abstract: tba
Time & Location: Thursday, 19 November at 13:00, room D122 (Exactum)
Speaker: Armand Coudray, University of Helsinki
Title: Inverse problems in the Vaidya spacetime
Abstract: In general relativity, an isolated object observed from infinity can be modelled using the notion of conformal compactification. This tool, developed by Penrose in the 1960s, allows infinity to be represented as a hypersurface at a finite distance.
Firstly, I will present this geometrical construction. I will also discuss how this framework can be used to construct a scattering operator from a hypersurface in the past to one in the future. Scattering operator corresponds to composition of trace operators.
During this talk, I will present an model for investigating inverse problems in the conformal compactification setting: a model of a dynamical black hole with a time-dependent mass. The question then becomes: can we recover the dynamical geometry of the spacetime from scattering data measured at infinity?
All the previous seminars and slides (when available) can be found at this page.