Speaker: Nathan Ryan, UCLA </br>
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Title:  Siegel Modular Forms and Their Satake Parameters</br>
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Abstract: </br> The first half of this talk will be an introduction to the basic
theory of Siegel modular forms and their Hecke theory.  These forms can be
thought of as being higher dimensional generalizations of elliptic forms.  In the
second half of the talk, I will discuss computations I have done on the Satake
parameters of a given form.  The Satake $p$-parameters of a genus n Hecke
eigenform are, roughly speaking, an (n+1)-tuple of nonzero complex numbers that
encode all the eigenvalues for operators in the pth part of the Hecke algebra.
If time allows, I will mention some computational results about the degrees of
the parameters when the parameters are algebraic integers.