Andere Kunden interessierten sich auch für
![The Geometry and Cohomology of Some Simple Shimura Varieties]( "The Geometry and Cohomology of Some Simple Shimura Varieties")
The Geometry and Cohomology of Some Simple Shimura Varieties95,99 €![COMPACTIFIC PEL-TYPE SHIMURA VARIETIES & KUGA FAMILIES ORDI]( "COMPACTIFIC PEL-TYPE SHIMURA VARIETIES & KUGA FAMILIES ORDI")
COMPACTIFIC PEL-TYPE SHIMURA VARIETIES & KUGA FAMILIES ORDI215,99 €![The Gross-Zagier Formula on Shimura Curves]( "The Gross-Zagier Formula on Shimura Curves")
The Gross-Zagier Formula on Shimura Curves82,99 €![Modular Forms and Special Cycles on Shimura Curves]( "Modular Forms and Special Cycles on Shimura Curves")
Modular Forms and Special Cycles on Shimura Curves96,99 €![Notes on Crystalline Cohomology]( "Notes on Crystalline Cohomology")
Notes on Crystalline Cohomology41,99 €![Notes on Crystalline Cohomology]( "Notes on Crystalline Cohomology")
Notes on Crystalline Cohomology110,99 €![Abelian Varieties with Complex Multiplication and Modular Functions]( "Abelian Varieties with Complex Multiplication and Modular Functions")
Abelian Varieties with Complex Multiplication and Modular Functions112,99 €
This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula. The first problem, that of applying the fixed point formula to the intersection cohomology, is geometric in nature and is the object of the first chapter, which builds on Morel's previous work. She then turns to the group-theoretical problem of comparing these results with the trace formula, when G is a unitary group over Q. Applications are then given. In particular, the Galois representation on a G(Af)-isotypical component of the cohomology is identified at almost all places, modulo a non-explicit multiplicity. Morel also gives some results on base change from unitary groups to general linear groups.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
"This book is a research monograph, yet the author takes care in recalling in detail the relevant notation and previous results instead of just referring to the literature. Also, explicit calculations are given, making the book readable not only for experts but also for interested advanced students."--Eva Viehmann, Mathematical Reviews