Math @ Duke
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Papers Published
- Cox, D; Esnault, H; Hain, R; Harris, M; Ji, L; Saito, M-H; Saper, L, Remembering Steve Zucker, edited by Cox, D; Harris, M; Ji, L,
Notices of the American Mathematical Society, vol. 68 no. 7
(August, 2021),
pp. 1156-1172, American Mathematical Society
- Saper, L, ℒ-modules and micro-support,
To Appear in Annals of Mathematics
(2018)
- Saper, L, Perverse sheaves and the reductive Borel-Serre compactification,
in Hodge Theory and L²-analysis, edited by Ji, L, vol. 39
(2017),
pp. 555-581, International Press [abs]
- Ji, L; Murty, VK; Saper, L; Scherk, J, The fundamental group of reductive Borel–Serre and Satake compactifications,
Asian Journal of Mathematics, vol. 19 no. 3
(2015),
pp. 465-486, International Press of Boston [arXiv:1106.4810], [available here], [doi] [abs]
- Leslie D. Saper,
-modules and the conjecture of Rapoport and Goresky-MacPherson,
in Formes Automorphes (I) -- Actes du Semestre du Centre Émile Borel, printemps 2000, Astérisque, edited by J. Tilouine, H. Carayol, M. Harris, M.-F. Vignéras, vol. 298
(2005),
pp. 319--334, Société Mathématique de France [MR2141706], [arXiv:math/0112250] [abs]
- Saper, L, ℒ-modules and the conjecture of Rapoport and Goresky-Macpherson,
in Formes Automorphes (I) — Actes du Semestre du Centre Émile Borel, printemps 2000, edited by Tilouine, J; Carayol, H; Harris, M; Vignéras, M-F, vol. 298 no. 298
(2005),
pp. 319-334, ISSN 0303-1179, ISBN 2-85629-172-4 [abs]
- Saper, L, L²-cohomology of locally symmetric spaces. I,
Pure and Applied Mathematics Quarterly, vol. 1 no. 4
(2005),
pp. 889-937, International Press of Boston [MR2201005], [arXiv:math/0412353], [0412353v3], [doi] [abs]
- Saper, L, Geometric rationality of equal-rank Satake compactifications,
Mathematical Research Letters, vol. 11 no. 5
(2004),
pp. 653-671, International Press of Boston [MR2106233], [arXiv:math/0211138], [0211138v4], [doi] [abs]
- Saper, L, On the Cohomology of Locally Symmetric Spaces and of their Compactifications,
in Current developments in mathematics, 2002, edited by Jerison, D; Lusztig, G; Mazur, B; Mrowka, T; Schmid, W; Stanley, R; Yau, S-T
(2003),
pp. 219-289, International Press (reprinted in Lie Groups and
Automorphic Forms, edited by L. Ji, et al.,
AMS/IP Studies in Advanced Mathematics, vol. 37, 2006.) [MR2062320], [arXiv:math/0306403] [abs]
- Saper, L, Tilings and finite energy retractions of locally symmetric spaces,
Commentarii Mathematici Helvetici, vol. 72 no. 2
(January, 1997),
pp. 167-201, Research Institute for Mathematical Sciences, Kyoto University [MR99a:22019], [doi] [abs]
- Saper, L, L²-cohomology of the Weil-Peterson metric,
in Mapping Class Groups and Moduli Spaces of Riemann Surfaces Proceedings of Workshops Held June 24-28, 1991, in Göttingen, Germany, and August 6-10, 1991, in Seattle, Washington, edited by Bödigheimer, C-F; Hain, R, vol. 150
,
pp. 345-360, Amer. Math. Soc., ISBN 0821851675 [MR94j:32014]
- Leslie D. Saper and Mark Stern, Appendix to: On the shape of the contribution of a fixed point on the boundary. The case of Q-rank one, by M. Rapoport,
in The Zeta Functions of Picard Modular Surfaces, edited by R. Langlands and D. Ramakrishnan
(1992), Les Publications CRM, Montréal (pp. 489-491.) [MR93e:11070b]
- Saper, L, L²-cohomology of Kähler varieties with isolated singularities,
Journal of Differential Geometry, vol. 36 no. 1
(1992),
pp. 89-161, International Press of Boston, ISSN 1945-743X [MR93e:32038], [doi]
- Saper, L; Stern, M, Appendix to: On the shape of the contribution of a fixed point on the boundary. The case of Q-rank one, by M. Rapoport,
in The zeta functions of Picard modular surfaces based on lectures delivered at a CRM Workshop in the spring of 1988, edited by Langlands, R; Ramakrishnan, D
(1992),
pp. 489-491, Centre De Recherches Mathématiques
- Habegger, N; Saper, L, Intersection cohomology of cs-spaces and Zeeman's filtration,
Inventiones Mathematicae, vol. 105 no. 1
,
pp. 247-272, Springer Nature, ISSN 0020-9910 [MR92k:55010], [doi]
- Saper, L, L₂-cohomology of algebraic varieties,
in Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, edited by Satake, I, vol. 1
,
pp. 735-746, Springer-Verlag, ISBN 0387700471 [MR93e:32037]
- Saper, L; Zucker, S, An introduction to L²-cohomology,
in Several Complex Variables and Complex Geometry, vol. 52, Part 2
,
pp. 519-534, Amer. Math. Soc., ISBN 0821814907 [MR92k:14023]
- Stern, M; Saper, L, L²-cohomology of arithmetic varieties,
Annals of Mathematics, vol. 132 no. 1
,
pp. 1-69, JSTOR [MR91m:14027], [doi]
- Saper, L; Stern, M, L²-cohomology of arithmetic varieties,
Proceedings of the National Academy of Sciences of the United States of America, vol. 84 no. 16
,
pp. 5516-5519 [MR89g:32052], [doi] [abs]
- Saper, L, L₂-cohomology and intersection homology of certain algebraic varieties with isolated singularities,
Inventiones Mathematicae, vol. 82 no. 2
,
pp. 207-255, Springer Nature, ISSN 0020-9910 [MR87h:32029], [doi]
Preprints
- L. Ji, K. Murty, L. Saper, and J. Scherk, The Congruence Subgroup Kernel and the Fundamental Group of the Reductive Borel-Serre Compactification
(June, 2011) [arXiv:1106.4810] [abs] [author's comments]
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