Dates of visit: April 1-5, 2002
Lectures: 2 PM in MS 6627

April 2 Forty years of index theory (Special Colloquium)
April 3 Index theory on manifolds with boundary
April 4 The families index theorem and its applications
April 5 The heat equation approach to the index theorem

I.M. Singer is one of the central figures of the mathematics of the second half of the twentieth century in global analysis, especially in the theory of elliptic operators and their applications to topology and geometry. He is, along with Atiyah, Bott, and Patodi, one of the architects of the index theorem and its many applications in mathematics--algebraic geometry, representations of Lie groups, mathematical physics, and so on. He has also made many profound contributions in mathematical physics, and he has played a major role in helping the mathematics community understand the new ideas that have sprung in high energy physics in recent years.

Singer is a member of the National Academy of Sciences. He was awarded the National Medal of Science in 1983, and the Wigner Medal in 1988 for "outstanding contributions to the understanding of physics through group theory". He was given the Bocher Prize of the AMS in 1969, the AMS Steele Prize for Lifetime Achievement in 2000, and the AMS Award for Distinguished Public Service in 1992. He was invited to give the AMS Colloquium lectures in 1976.

His talks are jointly sponsored by IPAM and the Mathematics Department at UCLA. They will focus on index theory, its history and its many facets.