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On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)
Sophie Morel
€ 68.77
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Description for On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)
Paperback. Studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. The author also 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. Series: Annals of Mathematics Studies. Num Pages: 232 pages, black & white illustrations, figures. BIC Classification: PBMW. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 15. Weight in Grams: 306.
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 ... Read more
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 ... Read more
Product Details
Format
Paperback
Publication date
2010
Publisher
Princeton University Press United States
Number of pages
232
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
232
Place of Publication
New Jersey, United States
ISBN
9780691142937
SKU
V9780691142937
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Sophie Morel
Sophie Morel is a member in the School of Mathematics at the Institute for Advanced Study in Princeton and a research fellow at the Clay Mathematics Institute.
Reviews for On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)
"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
Eva Viehmann, Mathematical Reviews