
Bernard Russo
Tue Oct 16, 2012
2:00 pm
A quantum Banach space (operator space for short) is a linear subspace of Hilbert space operators together with its induced matrix norm structure. It is said to be a quantum operator algebra (operator algebra for short) if it is closed under multiplication.
In a joint work with Matt Neal, a necessary and sufficient condition is given for a...

Yuan Zhang
Tue May 29, 2012
3:00 pm
In this talk, we study CauchyRiemann equation on some smooth convex domains of innite type in
C2. In detail, we show that supnorm estimates hold for those infinite exponential type
domains provided the exponent is less than 1. This is a joint work with John Erik Fornaess
and Lina Lee.

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...