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UCL DEPARTMENT OF MATHEMATICS Inaugural Lecture: Professor Yaroslav Kurylev “Inverse Problems and Beyond” Speaker: Prof. Yaroslav Kurylev, UCL UCL Contact: Bonita Carboo [email protected] (Visitors from outside UCL please email in advance). Date/Time: 7 October 2009, 16:30 Venue: Room 505, Mathematics Department Title: Inverse Problems and Beyond Abstract Inverse problems deal with the recovery of the cause from the consequences. Certainly, this formulation embraces a lot of real-day issues; from medical diagnostics to police investigation. As a mathematician, I deal with inverse problems for various mathematical models of physical, engineering and other inverse problems. Probably, the first well-known mathematical problem is the one formulated by Heisenberg in the early days of quantum mechanics: Assume that we know the scattering matrix of a quantum system. Is it then possible to identify the properties of this system? This formulation gets us into the essence of inverse problem: They appear when it is either impossible (say, in medicine or astrophysics) or too expensive (say, in seismology) to directly observe/measure the properties of the material but we have an access to some related information. Typically, this information relies on the measurements of various waves outside the body of interest which, due to these waves' penetration into the body, carry some information of the properties/processes inside this body. In recent years, another problem has started to attract much interest of physicists, engineers and, therefore, mathematicians. We can call this problem an inverse inverse problem and formulate it as follows: Is it possible to design a media which, for an external observer, would be identical to some simple underlying one and, therefore, hide from this observer what is going on inside this modified media? In my talk I will discuss (and give several examples) of the above two problems. Details Celebrating the Inaugural Lecture of Professor Yaroslav Kurylev in Room 505, Mathematics Department Programme: 16:30 Introduction to Proceedings, Professor Richard Catlow, Executive Dean, Mathematical and Physical Sciences Faculty (MAPS), UCL. 16:40 Inaugural Lecture by Professor Yaroslav Kurylev “Inverse Problems and Beyond” Lecture is chaired by Professor Richard Catlow, Executive Dean, Mathematical and Physical Sciences Faculty (MAPS), UCL and introduced by Professor Dmitri Vassiliev, Head of Department of Mathematics. Professor Dmitri Vassiliev will be giving the vote of thanks. 17:30 Reception in Room 502 Link: http://www.ucl.ac.uk/Mathematics/staff/YKurylev.html UCL Department Of Mathematics University College London Gower Street London WC1E 6BT Tel: +44 (0)20 7679 2841 Fax: +44 (0)20 7383 5519 [email protected] www.ucl.ac.uk/Mathematics