Upcoming Seminars

Temple-Rutgers Global Analysis Seminar:
Rational sphere maps
Professor John P. D’Angelo, University of Illinois
November 16, 2018, 11:20-12:20 
10:00-11:00 pm
BSB 334

  • I will begin with a short discussion of old results by many authors about rational sphere maps. I will then attempt to put these results into a general context. I will discuss work with Ming Xiao that associates various groups with proper holomorphic mappings. In the case of balls we proved that every finite subgroup of the source automorphism group arises as the Hermitian invariant group of a proper mapping between balls. I will discuss this result and some generalizations.

 

Temple-Rutgers Global Analysis Seminar:
The $\overline\partial$-Neumann problem and Schrodinger operators
Professor Friedrich Haslinger, University of Vienna, Austria
November 16, 2018, 11:20-12:20 
11:20-12:20 pm
BSB 334

  • he $\overline\partial$-Neumann problem and Schrodinger operators Abstract: We apply methods from complex analysis, in particular the $\overline\partial$-Neumann operator, to investigate spectral properties of Schr\”odinger operators with magnetic field (Pauli operators). For this purpose we consider the weighted $\overline\partial$-complex on $\mathbb C^n$ with a plurisubharmonic weight function. We derive a necessary condition for compactness of the corresponding $\overline\partial$-Neumann operator (the inverse of the complex Laplacian) and a sufficient condition, both are not sharp. So far, a characterization can only be given in the complex 1-dimensional case.The Pauli operators appear at the beginning and at the end of the weighted $\overline\partial$-complex.It is also of importance to know whether a related Bergman space of entire functions is of infinite dimension. In addition we consider the $\partial$-complex, where the underlying Hilbert space is the Fock space – the space of entire functions with the Gau{\ss}ian weight.

 


Past Seminars

Temple-Rutgers Global Analysis Seminar:
On the $C^\infty$ regularity of CR mappings of positive codimension
Professor Nordine Mir Texas A & M University-Qatar, Qatar
October 19, 2018
11:20-12:20 pm
ATG 121

  • We discuss recent joint results with B. Lamel on the $C^\infty$ regularity of CR maps between smooth CR submanifolds embedded in complex spaces of possibly different dimensions. Applications to the boundary regularity of proper holomorphic maps of positive codimension between domains with smooth boundaries of D’Angelo finite type will be given.

Temple-Rutgers Global Analysis Seminar:
Chains in CR geometry as geodesics of a Kropina metric
Vladimir Matveev, Friedrich Schiller University in Jena, Germany
September 28, 2018
11:20-12:20 pm
ATG 121

  • With the help of a generalization of the Fermat principle in general relativity, we show that chains in CR geometry are geodesics of a certain Kropina metric constructed from the CR structure. We study the projective equivalence of Kropina metrics and show that if the kernel distributions of the corresponding 1-forms are non-integrable then two projectively equivalent metrics are trivially projectively equivalent. As an application, we show that sufficiently many chains determine the CR structure up to conjugacy, generalizing and reproving the main result of [J.-H. Cheng, 1988]. The talk is based on a joint paper with J.-H. Cheng, T. Marugame, and R. Montgomery.

 

Temple-Rutgers Global Analysis Seminar:
Schatten class $\overline{\partial}$-Neumann operator
Sönmez Şahutoğlu, University of Toledo
April 20, 2018
3-3:50 pm
BSB 116


Temple-Rutgers Global Analysis Seminar
Escobar-Yamabe compactification for Poincare-Einstein manifolds and related rigidity theorems
Fang Wang, Shanghai Jiao Tong University 
April 20, 2018
4-4:50 pm
BSB 116

Temple-Rutgers Global Analysis Seminar:
Cornered Asymptotically Hyperbolic Metrics
Stephen McKeown,
Princeton University
April 6, 2018
3-3:50 pm
BSB 116

Temple-Rutgers Global Analysis Seminar:
Rational and polynomial density on compact real manifolds
Purvi Gupta, 
Rutgers University-New Brunswick
March 30, 2018
3-3:50 pm
BSB 116

Couplings, metrics and contraction rates for Langevin diffusions 
Andreas Eberle, University of Bonn, Germany
March 23, 2018
11:20 am-12:20 pm
Armitage 121

“Metastability of the Nonlinear Wave Equation”
Katherine Newhall, UNC
February 23, 2018
11:20 am- 12:20 pm
Armitage 121

“Pricing Uber’s Marketplace”
James Davis, Senior Data Scientist at Uber & a 2010 graduate of Rutgers–Camden Mathematics
February 16, 2018
11:20 am- 12:20 pm
Penn 401 (Note special location)

“Kinetics of Particles with Short-range Interactions”
Miranda Holmes-Cerfon, NYU Courant
February 9, 2018
11:20 am- 12:20 pm
Armitage 121

“Stochastic Simulation of Multiscale Reaction-Diffusion Models via First Exit Times” 
Lina Meinecke, Department of Mathematics at UC Irvine 
January 26, 2018
11:20 am- 12:20 pm
Armitage 121