Differential Geometry Seminar Fall 2007

We met Tuesdays 1-2 pm (and sometimes 4-5pm Tuesday or 11-12 am Friday) at the CUNY Graduate Center in Room 4419. We usually meet for lunch at noon gathering at 4214. The CUNY Graduate Center building is 365 5th Avenue at 34th Street diagonally across the street from the Empire State Building just two blocks from Penn Station (NYC). The organizers are Józef Dodziuk, Adam Koranyi, Laurentiu Maxim (Max) and Christina Sormani. Please feel free to contact Christina Sormani regarding scheduling.

Past Seminar Schedules and Abstracts:

• Differential Geometry Seminar: Spring-Summer 2007. Fall 2006.
• Differential Geometry and Lie Theory Seminar: Spring-Summer 2006. Fall 2005. and Spring 2005
• Differential Geometry and Analysis Seminar:
  Fall 2004, Spring 2004, Fall 2003, Spring 2003, Fall 2002, Spring 2002, Fall 2001 and Spring 2001.
• Lie Group Seminar: Fall 2004 and Spring 2004.

Schedule, Fall 2007

• Tuesday September 18 at 1pm: Daniel Garbin (CUNY student)
  "On the appearance of the Eisenstein series through degeneration"
• No meetings in October this Fall
• Friday November 9 at 11 am (room 5417): Robert Strichartz (Cornell)
  Laplacians and Quantum Mechanics on Fractals
  Abstract: I will give an overview of the theory of laplacians on fractals, and how it relates to
  Laplacians on manifolds and graphs. Then I will explain some recent work on the analog
  of the QM Harmonic oscillator when the underlying space is an infinite Sierpinski gasket.
• Tuesday November 13 at 1pm: Ravi Kulkarni (Harish-Chandra Research Institute, India)
  Title: Quaternions, Canonical Forms, z-Classes, and Exponential Map for the Classical Groups.
  Abstract: We develop canonical forms for n x n matrices over the quaternions, and reals, and give applications to z-classes, and determining the image of the exponential maps of the Classical Groups.
• Tuesday November 20 at 1pm: Lev Birbrair (Universidade Federal do Ceara, Fortaleza, Brazil)
  Title: Metric geometry of Algebraic Singularities.
  Abstract: We consider algebraic sets (real or complex) as metric spaces with a natural inner metric, obtained from the embeddings of these sets into the affine (or projective) space. We interest in the cases when the sets have singularities (isolated or nonisolated) and study the properties of these metrics near singular points. In particular, we consider the question of Lipschitz classification of singularities of curves and surfaces. For real surfaces we present a complete answer, but the case of complex surfaces is more difficult...
• Tuesday November 27 at 1pm: Bo Dai (Peking University, China)
  Higher dimensional Schrodinger flow into Grassmannians
  Abstract: Schrodinger flow is the Hamiltonian flow for energy functional on the space of maps from a Riemannian manifold into a Kahler manifold. This is an interesting but difficult geometric flow. We will generalize Terng and Uhlenbeck's method to study Schrodinger flow of maps from R^m into complex Grassmannians.
• Tuesday December 4 at 1pm: no meeting
• Coming this Spring: Sylvain Cappell
  Title: Beyond Self-Adjoint: Geometric Operators with Complex Eigenvalues and Analytic Torsion