عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
TLets554170
K-theory, chamber homology and base change for the p-ADIC groups SL(2), GL(1) and GL(2)
[Thesis]
Aeal, Wemedh
Rowley, Peter. ; Plymen, Roger.
University of Manchester
2012
Ph.D.
University of Manchester
2012
The thrust of this thesis is to describe base change BC_E/F at the level of chamber homology and K-theory for some p-adic groups, such as SL(2,F), GL(1,F) and GL(2,F). Here F is a non-archimedean local field and E is a Galois extension of F. We have had to master the representation theory of SL(2) and GL(2) including the Langlands parameters. The main result is an explicit computation of the effect of base change on the chamber homology groups, each of which is constructed from cycles. This will have an important connection with the Baum-Connes correspondence for such p-adic groups. This thesis involved the arithmetic of fields such as E and F, geometry of trees, the homology groups and the Weil group W_F.
Base Change
Chamber Homology
K-Theory
Non-Commutative Geometry
Aeal, Wemedh
Plymen, Roger.
Rowley, Peter.
University of Manchester
مطالعه متن کتاب p
[Thesis]
276903
a
Y
