" A Newlander-Nirenberg type theorem with parameter"
Time: 10:30 AM
Location: Hill 705
Abstract:
We will consider a version of Newlander-Nirenberg theorem
with parameter on planar domains. This will also leads to an
integro-differential equation with a boundary value condition. We will
discuss boundary regularity of the solution of the equation.
Friday, November 13th
Isaac Pesenson , Temple University
"A sampling theorem on Riemannian manifolds"
Time: 10:30 AM
Location: Hill 705
Abstract: Notions of Paley-Wiener functions and Variational Lagrangian
splines introduced on Riemannian manifolds of bounded geometry. Analogs of
the Paley-Wiener theorem and Plancherel-Polya inequalities are proved. It
is also shown that Paley-Wiener functions on manifolds are uniquely
determined by their values on sufficiently dense discrete sets of points.
The main result of the paper is a formula for reconstruction of
Paley-Wiener functions from their values on discrete sets using
Variational Lagrangian splines.
Friday, November 6th
Xiaowei Wang , The Chinese University of Hong Kong
"Stability of nodal curve"
Time: 10:30 AM
Location: Hill 705
Abstract: In this talk, we will present a direct GIT proof of the stability of nodal
curve".
Friday, October 30th
Xinyi Yuan, Harvard University
"An application of arithmetic dynamics to complex dynamics"
Time: 10:30 AM
Location: Hill 705
Abstract: In this talk, we will reformulate the dynamical Manin-Mumford conjecture
for algebraically polarized complex dynamical systems. A result necessary
for the formulation is proved using an arithmetic method. We reduce the
problem to number fields, and apply the equidistribution of algebraic
points of small heights over algebraic dynamics over number fields. It is
a joint work with Shou-wu Zhang.
Friday, October 23rd
Yunping Jiang , CUNY Queens College and Graduate Center
" Function Model of the Teichmuller space of a closed hyperbolic Riemann Surface"
Time: 10:30 AM
Location: Hill 705
Abstract: In this talk, I will introduce a function model for the
Teichmuller space of a closed hyperbolic Riemann surface. On this model
of a Teichmuller space, we have a new metric by using the maximum norm
on the function space. The identity map from the Teichmuller space
equipped with the usual Teichmuller metric to the Teichmuller space
equipped with this new metric is uniformly continuous. Furthermore, the
inverse of the identity, that is, the identity map from the Teichm"uller
space equipped with this new metric to the Teichm"uller space equipped
with the usual Teichmuller metric, is continuous. Therefore, the
topology induced by the new metric is just the same as the topology
induced by the usual Teichmuller metric on the Teichmuller space. I
will give a remark about the new metric, the pressure metric, and the
Weil-Petersson metric.
Friday, October 16th
Chi Li , Princeton University
"Greatest lower bounds on Ricci curvature for toric Fano manifolds"
Time: 10:30 AM
Location: Hill 705
Abstract: In this talk, we determine the greatest lower bounds on Ricci
curvature for all toric Fano manifolds, based on the work of Wang-Zhu.
Friday, October 9th
Shiferaw Berhanu, Temple University
" On analyticity of solutions of systems of first-order nonlinear pdes"
Time: 10:30 AM
Location: Hill 705
Abstract: none
Friday, October 2nd
Po Lam Yung , Princeton University
"Inequalities for (0,q) forms on CR manifolds of finite type"
Time: 10:30 AM
Location: Hill 705
Abstract: Recently Bourgain-Brezis and Lanzani-Stein proved the following $L^1$
Sobolev inequality for differential forms on $mathbb{R}^n$: If $u$ is a
smooth compactly supported $q$ form on $mathbb{R}^n$ and $q ne 1$ nor
$n-1$, then $$|u|_{L^{frac{n}{n-1}}(mathbb{R}^n)} lesssim
|du|_{L^1(mathbb{R}^n)} + |d^* u|_{L^1(mathbb{R}^n)}. $$ I shall
discuss an analogue of this result for the $overline{partial}_b$
complex on CR manifolds of finite commutator type. The main innovation
here is a new kind of $L^1$ duality inequality for vector fields that
satisfy Hormander's condition. An analogous inequality for homogenous
groups was previously established by Chanillo and van Schaftingen.
Friday, September 25th
Zheng Huang, CUNY, Staten Island
" Foliations on quasi-Fuchsian manifolds"
Time: 10:30 AM
Location: Hill 705
Abstract: We use the volume preserving mean curvature flow to show the
existence (uniqueness) of a foliation of incompressible CMC surfaces in a
class of quasi-Fuchsian hyperbolic three manifolds. Applications include
the existence and uniqueness of the minimal surface.
Friday, September 18th
Yuan Zhang, University of California at San Diego
" Infinite type germs of smooth hypersurfaces in $mathbb C^n$"
Time: 10:30 AM
Location: Hill 705
Abstract: In this joint paper with John Erik Fornaess and Lina Lee, we
discuss germs of smooth hypersurface in $mathbb C^n$. We show that if a
point on the boundary has infinite D'Angelo type, then there exists a
formal complex curve in the hypersurface through that point.
This page was last updated on September 16, 2009 at 12:37 pm and is maintained by webmaster@math.rutgers.edu.
