At present we are witnessing an explosion of activity, extending our
understanding of congruences between Fourier coefficients of classical
modular forms
to automorphic representations of groups more general than GL(2) over Q.
Currently, a number of constructions of these parametrized p-adic spaces
of automorphic forms are being developed, promising a striking new
(p-adic interpolational) extension of the Langlands program with,
possibly, broad arithmetic applications.
Some mathematicians working on the spaces that parametrize these
congruences, "eigenvarieties", will be visiting the
Harvard University mathematics department
during the Spring semester of 2006 to participate in graduate courses
(Math 254z
and
Math 255y), and satellite seminars devoted to this emerging
theory. The tentative schedule of these visitors is given in the calendar
to the right. The activities are listed on this page.
An intensive workshop on eigenvarieties connected to this special semester will
be held at the CMI on May 10-15, 2006.
A major goal of this special program at the
Harvard math department
is to produce a milieu where graduate students, and also post-docs and
other interested mathematicians, can gain mastery of this new development.
A further aim is to have an occasion (an extensive time period) for
researchers to engage in collaborative projects.
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Here is a partial list of the mathematicians who have indicated that they will
attend part or all of this special semester, and/or the workshop at
CMI:
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