[Turkmath:8092] Istanbul Bilgi University Departmental Seminar Dec 27 - Aaron Silberstein (Harvard)
Uğur Doğan
uurdogan at gmail.com
24 Ara 2011 Cmt 18:15:07 EET
Dear All,
Aaron Silberstein (Harvard) will give a talk at our departmental seminar on
Tuesday (Dec 27) at 16:00 in the room D-135. The title and abstract below.
Best,
Piotr
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Title: Out(G)=Gal(Q) and Anabelian Intersection Theory.
Abstract: The goal of Grothendieck's anabelian philosophy is to form
precise links between geometry and Galois theory, generally understood. I
prove that the Galois group of the function field of an algebraic surface
defined over the algebraic closure of Q encodes, in purely
group-theoretical terms, the geometry of the surfaces with that function
field. This theory relies on an interpretation of the fundamental groups
of curve complements in surfaces --- the original application of the van
Kampen theorem! --- ``in the large.'' As an application, I can give the
first known example of a group whose outer automorphism group is exactly
the absolute Galois group of Q.
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