Jyväskylä Inverse Problems Seminar
Jyväskylä Inverse Problems Seminar
The Inverse problems group at the University of Jyväskylä organizes a (roughly) weekly seminar. Please write to giovanni.g.covi@jyu.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 Jyväskylä Inverse Problem Seminar (JIPSem) is a series of lectures organized at the University of Jyväskylä by the Inverse Problems research group.
We discuss mainly pure mathematics. Examples include geometric inverse problems, inverse problems for PDEs, X-ray and electrical impedance tomography, and many more. Read more about our research at this webpage.
Besides our own members, we often host visiting scholars as speakers.
Time & Location: Tuesday, 28 October at 15:00, room MaD245
Speaker: Antonio Pop-Gorea
Title: Characterization of elastic reducibility in 2D
Abstract: It has been shown in dimension two that slowness polynomials are generically irreducible. We give a characterization in dimension two that a stiffness tensor has to satisfy so that its induced slowness polynomial is stably solvable. We thus define the notion of a rectangular stiffness tensor and show that irreducibility of a slowness surface breaks down within this condition. Furthermore, we also show that uniqueness is no longer guaranteed and hence injectivity fails for rectangular stiffness tensors. In fact non-uniqueness is equivalent to rectangularity of a stiffness tensor. We also show that avoiding the rectangular stiffness tensors will lead to stability. All of these results then imply stable solvability for non-rectangular stiffness tensors.
Time & Location: Tuesday, 4 November at 14:45, room MaD245
Speaker: Ashwin Tarikere Ashok Kumar Nag
Title: Propagation of polarization sets
Abstract: We will study the concept of polarization sets for vector valued distributions, which is a refinement of wavefront sets introduced by Dencker in 1981. We will also look at how polarization sets propagate for solutions of systems of real principal type.
Time & Location: Tuesday, 11 November at 15:00, room MaD245
Speaker: Eetu Satukangas
Title: TBA
Abstract: TBA
Time & Location: Tuesday, 18 November at 15:00, room MaD245
Speaker: Henri Hänninen
Title: TBA
Abstract: TBA
Time & Location: Tuesday, 25 November at 15:00, room MaD245
Speakers: TBA
Titles: TBA
Abstract: Inverse days tryouts: we will have 2/3 talks of 20' minutes each, in preparation for Inverse days.
Time & Location: Tuesday, 2 December at 15:00, room MaD245
Speakers: Shubham Jaiswal, and others TBA
Titles: TBA
Abstract: Inverse days tryouts: we will have 2/3 talks of 20' minutes each, in preparation for Inverse days.
Time & Location: Tuesday, 9 December at 14:45, room MaD245
Speaker: Janne Nurminen
Title: TBA
Abstract: TBA
All the previous seminars and slides (when available) can be found at this page.