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The book addresses significant advancements in algebraic number theory by proving the local Langlands conjecture for GLn over a p-adic field and exploring the decomposition group's influence on the l-adic cohomology of simple Shimura varieties. These interconnected problems build on Langlands's 1969 Washington lecture, offering a non-abelian generalization of local class field theory. The findings mark a crucial step forward in understanding these complex mathematical concepts.
Buchkauf
The Geometry and Cohomology of Some Simple Shimura Varieties. (Am-151), Volume 151, Michael Harris, Richard Taylor
- Sprache
- Erscheinungsdatum
- 2001
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- Titel
- The Geometry and Cohomology of Some Simple Shimura Varieties. (Am-151), Volume 151
- Sprache
- Englisch
- Autor*innen
- Michael Harris, Richard Taylor
- Verlag
- 2001
- Einband
- Paperback
- Seitenzahl
- 288
- ISBN13
- 9780691090924
- Kategorie
- Mathematik
- Beschreibung
- The book addresses significant advancements in algebraic number theory by proving the local Langlands conjecture for GLn over a p-adic field and exploring the decomposition group's influence on the l-adic cohomology of simple Shimura varieties. These interconnected problems build on Langlands's 1969 Washington lecture, offering a non-abelian generalization of local class field theory. The findings mark a crucial step forward in understanding these complex mathematical concepts.