励建书科研成就科研综述励建书把非交换调和分析与自守型的L-函数理论相结合，建立了算术流型的一些重要同调群的非零性；证明了维数不等于3或7时 Thurston关于算术双曲流型的第一贝蒂数的猜想，由此解决了相应的正交群的同余子群问题；构造了典型群的奇异酉表示，并对这些表示作出了刻划和分类；和合作者一起提出和研究了“自守对偶”的概念，并证明了任何 Tempered 表示必为自守表示的极限 

学术论著Li J S, Sun B. Low degree cohomologies of congruence groups[J]. Science China Mathematics, 2019.Li J S, Sun B. On the Cohomology of Some Complex Hyperbolic Arithmetic 3-Manifolds[J]. Communications in Mathematics & Statistics, 2013, 1(3):315-329.Li J S, Sun B, Tian Y. The multiplicity one conjecture for local theta correspondences[J]. Inventiones mathematicae, 2011, 184(1):117-124.Li J S, Schwermer J. On the cuspidal cohomology of arithmetic groups[J]. American Journal of Mathematics, 2009, 131(5):1431-1464.Li J S, Paul A, Tan E C, et al. The explicit duality correspondence of (Sp(p,q),O?(2n))[J]. Journal of Functional Analysis, 2003, 200(1):71-100.Li J S, Tan E C, Zhu C B. Tensor Product of Degenerate Principal Series and Local Theta Correspondence[J]. Journal of Functional Analysis, 2001, 186(2):381-431.Li J S. On the first eigenvalue of Laplacian for locally symmetric manifolds[J]. First International Congress of Chinese Mathematicians, 2002:271-278.Li J S. The correspondences of infinitesimal characters for reductive dual pairs in simple Lie groups[J]. Duke Mathematical Journal, 1999, 97(2):347-377.Li J S. Automorphic Forms with Degenerate Fourier Coefficients[J]. American Journal of Mathematics, 1997, 119(3):523-578.Li J S. On the discrete spectrum of (G2,PGSp6)[J]. Inventiones Mathematicae, 1997, 130(1):189-207.Li J S. On the dimensions of spaces of siegel modular forms of weight one[J]. Geometric & Functional Analysis Gafa, 1996.Li J S. Two reductive dual pairs in groups of typeE[J]. manuscripta mathematica, 1996, 91(1):163-177.Li J S. Some results on the unramified principal series ofp-adic groups[J]. Mathematische Annalen, 1992, 292(1):747-761.Li J S. Singular unitary representations of classical groups[J]. Inventiones mathematicae, 1989, 97(2):237-255. 

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