
Jie Xiao
Tue Dec 4, 2012
3:00 pm
Based on a paper joint with David R. Adams, we will address quasicontinuities of Morrey potentials and their applications to fine properties of weak solutions of two pLaplace systems: (p,q)type harmonic map and LaneEmden systems, whence getting that any local singular set of the minimizing pharmonic maps from a bounded domain to the unit...

Xiaodong Wang
Fri Nov 9, 2012
3:00 pm
I will discuss a sharp lower bound for the first positive eigenvalue of the sublaplacian on a closed, strictly pseudoconvex pseudohermitian manifold of dimension $2m+1\geq 5$. We prove that the equality holds iff the manifold is equivalent to the CR sphere up to a scaling. The essential step is a characterization of the CR sphere when there is a...

Xianghong Gong
Tue Oct 23, 2012
3:00 pm
Let M be a smooth hypersurface in R^{2n}. Suppose that on each side of M, there is a complex structure which is smooth up to M. Assume that the difference of the two complex structures is sufficiently small on M. We show that if a continuous function is holomorphic with respect to both complex structures, the function must be smooth from both...

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...