Schedule - by Session

Techniques and computational methods specific to one number theoretic discipline can have potential, and sometimes unexpected uses in a different subarea. For example, computational methods involving certain modular forms arising in analytic number theory have found their way into algorithms for verifying class numbers of quadratic fields. This session intends to bring together researchers in algebraic, analytic, combinatorial, and elementary number theory with a shared interest in experimental computations for the purpose of knowledge dissemination and exchange of ideas.

The purpose of this session is to bring together many of the experts who are applying powerful techniques from operator theory, operator algebras, unitary representation theory and other areas of functional analysis to understand and improve on the general family of theories covered by the broadly interpreted term of wavelet analysis. Among the emphasized topics will be the theory of frames; in particular wavelet, Gabor and exponential frames; admissibility conditions for dilation groups; characterizations of shift-invariant subspaces; higher dimensional analogues, such as shearlets; and generalizations of the shift group. Most of the experts on our invitation list apply multiple points of view as they approach problems in wavelet theory and there is significant value in meetings where they can cross-calibrate their work in advancing the area.