DIFFERENTIAL GEOMETRY/PDE/NUMERICAL ANALYSIS SEMINAR

                            Monday, January 29

                              Padelford C401
                                  3:45 pm

                                 Jack Lee
                        (University of Washington)


               L^p Fredholm theorems for elliptic operators
                  on asymptotically hyperbolic manifolds


Last spring, I described some Fredholm theorems in Holder spaces and L^2
spaces for Laplace-type elliptic operators acting on tensors over complete,
asymptotically hyperbolic Riemannian manifolds.  I conjectured then that
similar Fredholm results should hold in L^p for 1 < p < infinity.  In this
lecture, I'll describe how to prove sharp Fredholm results on all L^p and
Holder spaces in this context, given only sharp L^2 Fredholm results.  The
proof involves a pleasant mixture of analysis and geometry, and should be
adaptable to a wide variety of geometric settings.


For more information about this seminar, view the Differential Geometry
Seminar World-Wide Web page at

    https://www.math.washington.edu/~lee/Seminars/dg.html


To request disability accommodations, contact the Office of the ADA
Coordinator, at least ten days in advance of the event: 543-6450 (voice);
543-6452 (TDD); 685-3885 (FAX); access@u.washington.edu (E-mail).