Event details
DNAS Study Group Seminar Series
Date and Time (China standard time): Thursday, Oct 23rd, 11:30am – 12:30pm
Location: IB 1010
Speaker: Dr. MASAHIRO YAMAMOTO, UNIVERSITY OF TOKYO
Abstract :
We discuss mathematical aspects of inverse problems and aim at direct understanding what the inverse problem is and how important it is.
The inverse problem is a natural problem and appears everywhere and anywhen and is the first step for understanding our worlds quantitatively. Around us there are many phenomena whose causes and interior mechanisms are not disclosed, keeping secrets, to us, and the inverse problem should clarify the causes and the mechanism.
I will present examples of inverse problems, some of which are important also historically, and explain some common theoretical aspects. I plan to treat (some of, or more than) the following inverse problems:
(1) Inverse gravimetry: how can we weigh a mountain and see the underground?
(2) How to shape the objects by limited data?
(3) Medical diagnosis: how to see the interior of a human body?
(4) How to measure a distance between finite sets of points, related to the determination of hypocenters of an earthquake?
The background for understanding is undergraduate calculus, and possibly for final part, one-dimensional wave or heat equations. I try to make the talk accessible as much as possible.
Bio:
Masahiro Yamamoto is a Project Professor (Ph.D.) at the Graduate School of Mathematical Sciences, The University of Tokyo, and Professor in the Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, Türkiye. He received his B.Sc. (1981), M.Sc. (1983), and Ph.D. (1988) in Mathematics from The University of Tokyo, where he has held academic positions since 1985. His research focuses on inverse problems for partial differential equations, fractional PDEs, and industrial mathematics.
Professor Yamamoto has authored over 400 peer-reviewed papers and collaborated extensively with international scholars. His distinguishedcontributions have earned him numerous awards, including the Gold Medal of the Sobolev Institute of Mathematics (2012), the JMAA Ames Award (2013), the William F. Ames JMAA Best Paper Award (2014), the James S. W. Wong Prize (2020), the EAIP Award (2020), the MDPI Mathematics Best Paper Award (2022), and the Book Prize of the Unione Matematica Italiana (2023).
He is an Honorary Member of the Academy of Romanian Scientists, a Correspondence Member of the Accademia Peloritana dei Pericolanti (Italy), and holds honorary professorships at East China Institute of Technology and Southeast University. He is also Emeritus Professor at The University of Tokyo.
