Perspectives in Analysis

Harmonic Analysis,
Geometric Measure Theory, and
Partial Differential Equations,
and their applications to Several Complex Variables

September 13-15, 2012

Plenary Speakers

• Shiferaw Berhanu, Temple University, Boundary properties of generalized analytic functions
• Siqi Fu, Rutgers University-Camden, Estimates of the invariant metrics and applications
• Phillip Gressman, University of Pennsylvania, Scalar oscillatory integrals on smooth spaces of homogeneous type
• Cristian Gutiérrez, Temple University, Regularity results for the near field parallel beam refractor problem
• Andrew Hicks, Drexel University, The geometry of optical design
• Xiaojun Huang, Rutgers University, On the local hull of holomorphy of a real submanifold
• Thomas Krainer, Pennsylvania State University-Altoona, The heat trace, zeta-functions, and resolvent of elliptic operators on conic manifolds
• José María Martell, Instituto de Ciencias Matemáticas, Madrid, Uniform rectifiability and harmonic measure in 1-sided NTA domains
• Gerardo Mendoza, Temple University, Boundary value problems for elliptic operators
• Marius Mitrea, University of Missouri, Square function estimates and applications to PDE's in rough domains
• Hoai-Minh Nguyen, University of Minnesota, Some new characterizations of Sobolev spaces
• Mei-Chi Shaw, University of Notre Dame, The Cauchy-Riemann equations on non-smooth domains

Short Talks

• Matthew Badger, Stony Brook University, Quasispheres and bi-Lipschitz parameterizations
• Jennifer Beichman, University of Michigan, New estimates for 1d dispersive PDE
• Nathan Pennington, Kansas State University, Local and global existence for the Lagrangian Averaged Navier-Stokes equations in Besov spaces
• Jing Wang, Purdue University, The subelliptic heat kernel and its asymptotics on model spaces

Poster Session

• Ryan Alvarado, Whitney-type extensions with control of the modulus of continuity in geometrically doubling quasi-metric spaces
• Tess Anderson, The A₂ conjecture: homogeneous spaces, simple proof
• Dan Brigham, A generalization of the Gromov-Pompeiu-Hausdorff distance and related results
• Davit Harutyunyan, Scaling lows in infinite magnetic wires and films
• Gustavo Hoepfner, Distinguished atomic decompositions in Hardy spaces and applications
• Paulo Liboni, An approximation theorem for CR-distributions in H^p spaces
• Isidro Munive, Volume growth in CR Sasakian manifolds
• Sui-Chnung Ng, Linear subspaces of generalized balls and rigidity of holomorphic mappings
• Ahmad Sabra, Reflector problems with loss of energy
• Eric Stachura, Spectral properties of the reflection operator in two dimensions
• Elia Ziadé, The Open Mapping Theorem in the context of groups endowed with suitable topologies

Schedule...

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Location

• Thursday: Howard Gittis Student Center, Underground
• Friday: Howard Gittis Student Center, 200A
• Saturday: Howard Gittis Student Center, Underground
• Directions to TU Math
• Parking

Sponsors

Department of Mathematics and College of Science and Technology, Temple University, and National Science Foundation

Organizer

Irina Mitrea