報告人：Prof. Peter J. Olver, University of Minnesota
摘要：The problem of reassembling broken objects appears in a broad range of applications, including jigsaw puzzle assembly, archaeology (broken pots and statues), surgery (broken bones and reassembly of histological sections), paleontology (broken fossils and egg shells), and anthropology (more broken bones). I will discuss recent progress on such problems, based on advances in the mathematical apparatus of equivalence, invariants, and symmetry, equivariant moving frames, differential and integral invariant signatures, and invariant numerical approximations.
報告人簡介：Peter J. Olver received his Ph.D. from Harvard University in 1976 under the guidance of Prof. Garrett Birkhoff. After being a Dickson Instructor at the University of Chicago and a postdoc at the University of Oxford, he has been on the faculty of the School of Mathematics at the University of Minnesota since 1980, and a full professor since 1985. As of July, 2008, he has been serving as the Head of the Department. His research interests revolve around the applications of symmetry and Lie groups to differential equations. He is the author of over 140 papers in refereed journals, and over 45 in conference proceedings. He was named a "Highly Cited Researcher'' by Thomson ISI in 2003. He has written 5 books, including the definitive text on applications of Lie groups to differential equations, which was published in 1986, translated into Russian, and also republished in China.