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个人简介

讲授课程: 2009.09-2010.01, 空间解析几何, 2009基地班 2010.03-2010.07, 微分几何初步, 2007基础数学专业 2010.09-2011.01, 空间解析几何, 2010基地班+2010唐敖庆班 2011.03-2011.06, 黎曼几何, 2010级研究生 2011.08-2011.12, 李群在微分方程中的应用 2010级研究生 2011.09-2012.01, 空间解析几何, 2011基地班+2011唐敖庆班 2012.03-2012.06, 微分几何初步, 2009基础数学专业+基地班+唐班 2012.09-2013.01, 空间解析几何, 2012基地班+2011唐敖庆班 2013.03-2013.07, 微分几何初步, 2010基础数学专业+基地班+唐班 2013.09-2014.01, 空间解析几何, 2013基地班+2013唐敖庆班 2014.03-2014.07, 微分几何初步, 2011基础数学专业+基地班 2014.09-2015.01, 空间解析几何, 2014基地班+2014唐敖庆班 2014.09-2015.01, 黎曼几何, 2013级研究生 2015.09-2016.01, 空间解析几何, 2015级本科生 2016.09-2017.01, 空间解析几何, 2016级本科生 2016.08-2017.01, 微分几何几何, 2013级本科生数学与应用数学专业 教育经历: 2000.09-2004.07, 吉林大学数学学院 2004.09-2008.12, 北京大学数学学院 博士 2007.12-2008.11, Math. Dep. Utrecht Uni. Netherlands, joint Ph.D 工作经历: 2008.12-2009.07, CRC, Goettingen Uni. Post doctor 2009.01-2011.01, 大连理工大学数学学院 博士后 2009.06-2011.08 吉林大学数学学院 副教授 2008.07.01-2008.07.12, Conference Poisson 2008, Bernnoulli Center, EPFL, Lausanne, Switzerland. 2010.07.02-2010.08.19, ANU, visiting scholar, Austrilia 2010.09.12-2010.09.19, Geometry and Physics VIII, Scalea, Italy 2012.06.27-2012.08.07, Goettingen Uni. visiting scholar, Germany 2012.07.22-2012.08.03, Conference Poisson 2012, Utrecht Uni., Holland 2013.06.21-2013.07.31, Goettingen Uni. visiting scholar, Germany 2013.06.25-2013.06.28, Conference Higher algebras and Lie-infinity homotopy theory, Luxembourg Uni., Luxembourg 2013.07.22-2013.07.26, Conference in honor of Alan Weinstein, Bernnoulli Center, EPFL, Lausanne, Switzerland. 2014.07.05-2014.07.24, Goettingen Uni. visiting scholar, Germany 2014.11.26-2014.12.10, Goettingen Uni. visiting scholar, Germany 2014.11.30-2014.12.06, Conference ;Algebra, deformation and quantum groups;, CIRM, France 2015.04.30-2015.05.16, Goettingen Uni. visiting scholar, Germany 2015.05.10-2015.05.15, Conference ;Geometry of Jets and Fields;, Bedlewo, Banach Center, Poland 2015.07.12-2015.08.07, Penn State University, visiting scholar, US 2016.06.21-2016.07.23, University of Haute Alsace, visiting scholar, Mulhouse, France 2016.07.03-2016.07.09, Poisson 2016, Zurich,Switzerland. 2016.07.09-2016.07.17,Goettingen Uni. visiting scholar, Germany 2016.07.17-2016.07.21,Geneva Uni., visiting scholar,Switzerland. 2016.12.13-2017.12.12,Penn State University, visiting scholar, US 2011.09-至今 吉林大学数学学院 教授

研究领域

数学物理、Poisson几何、高阶李理论

近期论文

查看导师新发文章 (温馨提示:请注意重名现象,建议点开原文通过作者单位确认)

1. Y. Sheng, Linear Poisson structures on R^4, J. Geom. Phys. 57 (2007), 2398-2410. 2. B. Chen and Y. Sheng, Poisson-Nijenhuis structures on oriented 3D-manifolds, Rep. Math. Phys. 61 (3) (2008), 361-380. 3. Q. Lin, Z. Liu and Y. Sheng, Quadratic deformations of Lie-Poisson structures on R^3, Lett. Math. Phys. 83 (2008), 217-229. 4. Y. Sheng, Jacobi quasi-Nijenhuis algebroids, Rep. Math. Phys. 65 (2010.04), 271-287 5. Z. Chen, Z. Liu and Y. Sheng, E-Courant algebroids, Int. Math. Res. Not. Vol. (2010.03), No. 22, pp. 4334–4376. 6. Y. Sheng, Z. Liu and C. Zhu, Omni-Lie 2-algebras and their Dirac structures, J. Geom. Phys. 61 (2011.02), pp. 560-575. impact factor 1.055 7. Y. Sheng and C. Zhu, Semidirect products of representations up to homotopy, Pacific J. Math. 249 (2011.01), No. 1, 211–236. 8. Y. Bi and Y. Sheng, On higher analogues of Courant algebroids, Sci. China Math. (2011.03) Vol. 54 No. 3: 437-447. 9. Z. Chen, Z. Liu and Y. Sheng, Dirac structures of omni-Lie algebroids, Int. J. Math.,Vol. 22, No. 8 (2011.08) 1163–1185. 10. Y. Sheng and C. Zhu, Integration of semidirect product Lie 2-algebras, Int. J. Geom. Methods Mod. Phys. Vol. 9, No. 5 (2012.08) 1250043. 11. S. Chen, Y. Sheng and Z. Zheng, Non-abelian Extensions of Lie 2-algebras, Sci. China. Math. (2012.08) Vol. 55 No. 8: 1655-1668. impact factor 0.497 12 Y. Sheng, On deformations of Lie algebroids, Results. Math. 62 (2012.09), 103-120. impact factor 0.508 13 Y. Sheng and C. Zhu, Integration of Lie 2-Algebras and Their Morphisms, Lett. Math. Phys. 102 (2), (2012.11), 223-244.impact factor 2.415 14 Y. Sheng, Representations of hom-Lie algebras, Algebr. Represent. Theory,15 (6) (2012.12) 1081-1098. impact factor 0.554 15 Y. Sheng and D. Chen, Hom-Lie 2-algebras, J. Algebra, 376 (2013.02) 174–195. impact factor 0.604 16 Y. Sheng and Z. Liu, Leibniz 2-algebras and twisted Courant algebroids, Comm. Algebra. 41 (05),1929-1953. impact factor 0.388 17 C. Bai, Y. Sheng and C. Zhu, Lie 2-bialgebras,Comm. Math. Phys. 320 (2013.05) 149-172. impact factor 1.901 18 Y. Sheng and C. Bai, A new approach to hom-Lie bialgebras, J. Algebra, 399(2014.02), 232–250. impact factor 0.599 19 Z. Chen, Y. Sheng and Z. Liu, On Double Vector Bundles, Acta. Math. Sinica, 30 (10), (2014.10), 1655-1673. impact factor 0.475 20 Z. Liu, Y. Sheng and T. Zhang, Deformations of Lie 2-algebras, J. Geom. Phys. 86 (2014.12) 66–80.impact factor 0.870 21 Y. Bi and Y. Sheng, Dirac structures for higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. Vol. 12, No. 1 (2015.01) 1550010. 1.068 22 Y. Sheng and Z. Xiong, On hom-Lie algebras, Linear Multilinear Algebra, Vol. 63, No. 12(2015.12), 2379–2395, Im 0.761 23 L. Cai and Y. Sheng, Hom-big brackets: theory and applications, SIGMA, 12 (2016.01), 014, 18 pages.Im 0.765 24 Y. Sheng and Z.Liu, From Leibniz algebras to Lie 2-algebras, Algebr. Represent. Theory (2016.02) 19, Issue 1, pp 1-5. Im 0.621 25 H. Lang, Z. Liu and Y. Sheng, Integration of derivations of Lie 2-algebras, Transformation Groups, 21 (2016.03), 1, 129-152. 0.583 26 Z. Liu, Y. Sheng and X. Xu, The Pontryagin class for pre-Courant algebroids, J. Geom. Phys. 104 (2016.06), 148-162. 0.819 27 J. Liu, Y. Sheng, Y. Zhou and C.Bai, Nijenhuis Operators on n-Lie Algebras, Commun. Theor. Phys. 65 (2016.06) 659–670. Im 0.989 28 J. Liu, Y. Sheng, C. Bai and Z. Chen, Left-symmetric algebroids, Math. Nachr. 289, No. 14–15, 1893–1908 (2016.10), 0.742 29 H. Lang, Y. Sheng and X. Xu, Nonabelian omni-Lie algebras, Banach Center Publications, 110 (2016),167-176. 30 H. Lang, Y. Sheng and X. Xu, Strong homotopy Lie algebras, homotopy Poisson manifolds and Courant algebroids, Lett. Math. Phys. 107 (5) (2017.05), 861-885. 31 Y. Sheng and C. Zhu, Higher extensions of Lie algebroids, Commun. Contemp. Math. 19 (3), 1650034 (2017.06), 41 pages 32 J. Liu, Y. Sheng and C. Wang, Omni n-Lie algebras and linearization of higher analogues of Courant algebroids, Int. J. Geom. Methods Mod. Phys. 14 (7), (2017.07), 1750113, 18 pages. 33 Y. Zhou, Y. Li and Y. Sheng, 3-Lie-infty-algebras and 3-Lie 2-algebras, J Algebra Appl. 16 (9) (2017.09), 1750171, 20 pages. 34 L. Cai, J. Liu and Y. Sheng,Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids, J. Geom. Phys. (2017.11) 121, 15-32. 35 J. Liu, A. Makhlouf and Y. Sheng, A new approach to representations of 3-Lie algebras and abelian extensions, Algebr. Represent. Theory Algebr Represent Theor (2017) 20:1415–1431 36 J. Liu, Y. Sheng and C. Bai, Pre-symplectic algebroids and their applications, Lett. Math. Phys. (2017.12) DOI 10.1007/s11005-017-0973-8 37 L. Cai and Y. Sheng, Purely Hom-Lie bialgebras,to appear in Sci. China. Math. 38 J. Liu, Y. Sheng and Q. Wang, On non-abelian extensions of Leibniz algebras, Comm. Algebra. (2018) http://dx.doi.org/10.1080/00927872.2017.1324870 39 J. Liu and Y. Sheng, QP-structures of degree 3 and LWX 2-algebroids, 40 C. Bai, L. Guo and Y. Sheng, Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras 41 H. Lang, Y. Sheng and A. Wade, VB-Courant algebroids, E-Courant algebroids and generalized geometry, arXiv:1705.10316 42 R.Tang and Y. Sheng, Cohomological characterizations of non-abelian extensions of strict Lie 2-algebras, arXiv:1705.09163 43 J. Liu, Y. Sheng and C. Bai, Left-symmetric bialgebroids and their corresponding Manin triples, arXiv:1705.08299 44 Y. Sheng, X. Xu and C. Zhu, String principal bundles and Courant algebroids, arXiv:1701.00959 45 Y. Sheng, Categorification of Pre-Lie Algebras and Solutions of 2-graded Classical Yang-Baxter Equations, arXiv:1403.2144

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