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Dirac Operators in Geometry, Topology, Representation Theory, and Physics

University of Adelaide
18-22 October 2010

Report now available. 

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Dirac introduced his eponymous operator to describe electrons in quantum theory. It was re-discovered by Atiyah and Singer in their study of the index problem on manifolds.  In a series of ten hours of lectures, Prof Dan Freed explored new theorems and applications.  Several of these also involved K-theory in its recent twisted and differential variations.

Lecture Series by Prof. Dan Freed (University of Texas, Austin):

Prof. Freed is an international expertart509_01
on problems centered around global issues in geometry and global analysis. His work often relates to questions in theoretical physics (quantum field theory, string theory, and M-theory), and has collaborated with both mathematicians and physicists. He has lectured extensively around the world, and is renowned for his excellent lecture notes on a variety of topics at the interface of Mathematics (Geometry, Topology, Analysis, Representation Theory) and Physics.

 

"It was a privilege to have 10 hours worth of lectures from Dan Freed. The other speakers gave great talks too. The organisers did an excellent job with the conference."

David Baraglia, ANU

"The visit of such an esteemed mathematician acted as a catalyst for discussion and interaction between the other attendees, which I found beneficial."

Richard Green, University of Adelaide

"...the workshop was a great success. Dan Freed is an outstanding lecturer. His ten lectures touched on many topics of great current interest and were particularly valuable to the postgraduates and postdocs. The other talks complemented his lectures well and showcased some of the best work being done in this general area in Australia today."

Finnur Larusson, University of Adelaide

"..while Professor Freed visited we enjoyed the presence of many prominent mathematicians from around Australia and seminars on related work which illustrated the current state of the art in the field of geometry. This was particularly useful for Early Career Researchers as many of these seminars, and Professor Freed's lectures in particular, addressed open problems of current interest. The opportunity to discuss current research interests with other participants and with a recognised leader in the field was invaluable."

Raymond Vozzo, University of Adelaide

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