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Conference in Celebration of Nicolai Krylov's 60th Birthday
A conference on
"Perspectives in Partial Differential Equations and Probability,"
sponsored by the School of Mathematics and the IMA, was held on Friday,
Saturday and Sunday, May 25-27, 2001 to celebrate the 60th birthday of
Ordway Professor Nicolai Krylov. The occasion brought here a number of
distinguished mathematicians working in probability theory and partial
differential equations - areas in which Krylov has been a world leader
for over a quarter of a century. The conference began with welcoming remarks
by the Head of the School, Naresh Jain, who reflected on Nick Krylov's
great contributions to mathematics and our good fortune in having been
able to attract him to Minnesota more than a decade ago. Major developments
in the areas of probability theory and partial differential equations
have been stimulated by the exchange of insights, problems and methods
between the fields. This was exemplified by much of the research discussed
in the lectures at the conference.
The invited speakers, and titles of their lectures, were
Professors Luis Caffarelli (University of Texas, Austin), "Optimal
transportation and Monge-Ampere equations"; Eugene Dynkin (Cornell
University), "Superdiffusions and partial differential equations";
Wendell Fleming (Brown University), "Risk sensitive stochastic control
and differential games"; Rafail Khasminski (Wayne State University),
"Averaging principle for diffusion processes with null-recurrent
fast component"; Paul Malliavin (University of Paris VI), "Construction
of unitarizing measure for highest weight representations of Virasoro
algebras"; Anatoly Skorokhod (Michigan State University), "Infinite
systems of stochastic differential equations"; Nina Uraltseva (St.
Petersburg
State University), "On the regularity of solutions and free boundaries
in some elliptic and parabolic problems"; and S.R.S. Varadhan (Courant
Institute), "Regularity of diffusion coefficients in simple exclusion
models." Professors Boris Rozovskii (University of Southern California)
and Mikhail Safonov (University of Minnesota), both former students of
Krylov, presented an "Overview of the work of Nicolai Krylov."
The Organizing Committee consisted of John Baxter, Mikhail Safonov and
Boris Rozovskii. Dinner for the conference participants was held on Saturday
in the "Bistro" of the Hubert H. Humphrey Center. After-dinner
speakers included Professors Dynkin, Fleming, Friedman, Jain, Malliavin,
Safonov and Skorokhod, who talked about their long personal and professional
associations with Nick Krylov.
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