Number Theory @ SDU---Please Enjoy Here!

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Description of Lectures for March 2009
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I shall introduce the Langlands picture of automorphic forms and  L-functions by carefully surveying the known theory for GL(1). This means starting with Riemann's zeta-function, and progressing through Hecke's generaliztions of it in 1916. After doing this, I shall introduce the adeles and ideles of a number field. This will make it easier to discuss Artin's L-seies attached to a Galois group, his beautiful statement of abelian class field theory, and (his student) Tate's redoing of Riemann-Hecke L-functions in 1950. These results ultimately form part of the motivation of the general Langlands program.

大数学家Gelbart明年三月份要来一个月！大家要好好准备一下，主要内容是GL（1）上的。不过建议下学期大家还是轮流讨论一下S. Gelbart Automorphic Forms on Adele Groups ,至少前六章，大家应该知道！