## Past Seminars- Analysis

• Yu Yuan
Tue Feb 19, 2013
3:00 pm
We talk about some rigidity of self similar solutions for mean curvature flow and Kahler Ricci flow.
• Martin Walter
Tue Jan 15, 2013
3:00 pm
Each locally compact group, commutative or not, (this includes finite groups and Lie groups) has a dual object which completely determines it. This object is a commutative semigroup which is partially ordered and convex. This duality theory generalizes the Pontryagin-Van Kampen duality for abelian, locally compact groups in a natural way. We...
• Loredana Lanzani
Tue Jan 8, 2013
3:00 pm
TBA
• Jie Xiao
Tue Dec 4, 2012
3:00 pm
Based on a paper joint with David R. Adams, we will address quasi-continuities of Morrey potentials and their applications to fine properties of weak solutions of two p-Laplace systems: (p,q)-type harmonic map and Lane-Emden systems, whence getting that any local singular set of the minimizing p-harmonic 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 pseudo-hermitian 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...