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Period Domains over Finite and p-Adic Fields

Jean-François Dat, Sascha Orlik and Michael Rapaport
Publisher: 
Cambridge University Press
Publication Date: 
2010
Number of Pages: 
372
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 183
Price: 
99.00
ISBN: 
9780521197694
Category: 
Monograph
We do not plan to review this book.

Preface; Introduction; Part I. Period Domains for GLn Over a Finite Field: 1. Filtered vector spaces; 2. Period domains for GLn; 3. Cohomology of period domains for GLn; Part II. Period Domains for Reductive Groups over Finite Fields: 4. Interlude on the Tannakian formalism; 5. Filtrations on repk(G); 6. Period domains for reductive groups; 7. Cohomology of period domains for reductive groups; Part III. Period Domains over p-adic Fields: 8. Period domains over p-adic fields; 9. Period domains for p-adic reductive groups; 10. Cohomology of period domains over p-adic fields; Part IV. Complements: 11. Further aspects of period domains; References; Index.