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Presented By: Department of Mathematics

Student Algebraic Geometry Seminar

Unramified Geometric Class Field Theory

Hilbert conjectured in 1902 and Furtwängler proved four years later that the maximal unramified abelian extension of a number field is isomorphic to the class group of the number field. In this talk we will use ideas from algebraic geometry to reformulate Furtwängler's classical result. These ideas have proved useful in studying the nonabelian version of Hilbert's problem, and as such, this talk will serve as an introduction to several fundamental tools of the Langlands Program. Speaker(s): David Schwein (UM)

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