L 2 -cohomology and intersection homology of locally symmetric varieties, II
Zucker, Steven
Compositio Mathematica, Tome 60 (1986), p. 339-398 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{CM_1986__59_3_339_0,
     author = {Zucker, Steven},
     title = {$L\_2$-cohomology and intersection homology of locally symmetric varieties, II},
     journal = {Compositio Mathematica},
     volume = {60},
     year = {1986},
     pages = {339-398},
     mrnumber = {860320},
     zbl = {0624.14014},
     language = {en},
     url = {http://dml.mathdoc.fr/item/CM_1986__59_3_339_0}
}

Zucker, Steven. $L_2$-cohomology and intersection homology of locally symmetric varieties, II. Compositio Mathematica, Tome 60 (1986) pp. 339-398. http://gdmltest.u-ga.fr/item/CM_1986__59_3_339_0/

[1] W. Baily and A. Borel: Compactifications of arithmetic quotients of bounded symmetric domains. Ann. of Math. 84 (1966) 442-528. | MR 216035 | Zbl 0154.08602

[2] A. Borel: Introduction aux Groupes Arithmétiques. Paris: Hermann (1969). | MR 244260 | Zbl 0186.33202

[3] A. Borel: Stable real cohomology of arithmetic groups. Ann. Sci. ENS 7 (1974) 235-272. | Numdam | MR 387496 | Zbl 0316.57026

[4] A. Borel: L2-cohomology and intersection cohomology of certain arithmetic varieties Emmy Noether in Bryn Mawr. Berlin- Heidelberg-New York: Springer-Verlag (1983) 119-131. | MR 713796 | Zbl 0541.14015

[5] A. Borel and J.-P. Serre: Corners and arithmetic groups. Commentarii Math. Helv. 48 (1973) 436-491. | MR 387495 | Zbl 0274.22011

[6] A. Borel and J. Tits: Groupes réductifs. Pub. Math. IHES 27 (1965) 55-151. | Numdam | MR 207712 | Zbl 0145.17402

[7] N. Bourbaki: Groupes et Algèbres de Lie. Eléments de Mathématiques XXXIV. Paris: Hermann (1968). | MR 240238 | Zbl 0213.04103

[8] J.-L. Brylinski and J.-P. Labesse: Cohomologie d'intersection et fonctions L de certaines variétés de Shimura. Ann. Sci. ENS 17 (1984) 361-412. | Numdam | MR 777375 | Zbl 0553.12005

[9] J. Cheeger: On the Hodge theory of Riemannian pseudomanifolds. Proc. Symposia Pure Math. 36 (1980) 91-146. Providence: AMS. | MR 573430 | Zbl 0461.58002

[10] M. Goresky and R. Macpherson: Intersection homology, II. Inventiones Math. 72 (1983) 77-129. | MR 696691 | Zbl 0529.55007

[11] S. Helgason: Differential Geometry, Lie Groups, and Symmetric Spaces. New York-San Francisco-London: Academic Press (1978). | MR 514561 | Zbl 0451.53038

[12] J. Humphreys: Introduction to Lie Algebras. Berlin-Heidelberg-New York: Springer-Verlag (1972). | MR 323842 | Zbl 0254.17004

[13] M. Rosenlicht: Some basic theorems on algebraic groups. Amer. J. Math. 78 (1956) 401-443. | MR 82183 | Zbl 0073.37601

[14] G. Warner: Harmonic Analysis on Semi-Simple Lie Groups I. Berlin- Heidelberg-New York: Springer-Verlag (1972). | MR 498999 | Zbl 0265.22020

[15] S. Zucker: L2 cohomology of warped products and arithmetic groups. Inventiones Math. 70 (1982) 169-218. | MR 684171 | Zbl 0508.20020

[16] S. Zucker: L2-cohomology and intersection homology of locally symmetric varieties. Proc. Symposia Pure Math. 40, Part 2 (1983) 675-680. Providence: AMS. | Zbl 0545.55005

[17] S. Zucker: Satake compactifications. Commentarii Math. Helv. 58 (1983) 312-343. | MR 705539 | Zbl 0565.22009

[18] A. Borel and W. Casselman: L2-cohomology of locally symmetric manifolds of finite volume. Duke Math. J. 50 (1983) 625-647. | MR 714821 | Zbl 0528.22012

[19] J. Tits: Classification of algebraic semisimple groups. Proc. Symposia Pure Math. 9 (1966) 33-62. Providence: AMS. | MR 224710 | Zbl 0238.20052

[20] D. Vogan and G. Zuckerman: Unitary representations with non-zero cohomology. Comp. Math. 53 (1984) 51-90. | Numdam | MR 762307 | Zbl 0692.22008

[21] A. Borel and W. Casselman: Cohomologie d'intersection et L2-cohomologie de variétés arithmétiques de rang rationnel 2. C.R. Acad. Sc. Paris 301 (1985) 369-373. | MR 808630 | Zbl 0612.14018

[22] W. Casselman: Introduction to the L2-cohomology of arithmetic quotients of bounded symmetric domains, 1985. | Zbl 0669.22004