
Bernard Russo
Tue Apr 17, 2012
3:00 pm
I will present elementary (classical) proof(s) that every derivation of a
finite dimensional semisimple algebra (associative, Lie, or Jordan) is
inner, and state what is known in infinite dimensions for operator
algebras. Then I will do the same for the corresponding triple systems.
The purpose is to set the stage for the study of continuous...

Professor Sagun Chanillo
Thu Apr 12, 2012
3:00 pm
We consider the global embedding problem for compact, three dimensional
CR manifolds. Sufficient conditions for embeddability are obtained from assumptions on the CR Yamabe
invariant and the nonnegativity of a certain conformally invariant fourth order operator called the CR Paneitz
operator. The conditions are shown to be necessary for small...

Baoping Liu
Tue Mar 13, 2012
3:00 pm
In this talk, I will review the regularity problem for
Kortewegde Vries (KdV) equation on the line, and give a brief summary of
the sharp wellposedness and illposedness results. Then I will discuss a
possible way to get apriori bounds and weak solution below the critical
threshold H^{3/4}.

Alexei Ilyin
Tue Mar 6, 2012
3:00 pm
We discuss some resent results for two type of spectral inequalities in connection with the NavierStokes equations. Namely, the BerezinLiYau inequalities for the eigenvalues of elliptic equations and systems ( including the Stokes system) with constant coefficients and the LiebThirring inequalities for the negative spectrum of the Schrodinger...

Dr. Son Duong
Tue Feb 21, 2012
3:00 pm
We investigate the transversality of holomorphic mappings between CR submanifolds of complex spaces. In equidimension case, we show that a holomorphic mapping sending one generic submanifold into another of the same dimension is CR transversal to the target submanifold, provided that the source manifold is of finite type and the map is of generic...

Professor Hyungwoon Koo
Tue Feb 14, 2012
3:00 pm
Composition operators in one variable have been studied very extensively.
But in several variables case the progress is very slow and even the boundedness of
the composition operator on the unit ball is not characterized yet, except the Carleson measure type characterization.
We survey the progress on the composition operators on the unit ball and...

Dr. Lina Lee
Tue Feb 7, 2012
3:00 pm
We define the Szego metric using the Szego kernel and Fefferman surface measure. This metric is invariant under biholomorphic mappings. We compare this metric with Caratheodory and Bergman metrics and also show that one can determine whether a strongly pseudoconvex is biholomorphic to a ball by studying the ratio of the Szego and Bergman metric....