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高水平建设院士系列讲座与学术报告
2017-04-10 08:30   审核人:

高水平建设院士系列讲座与学术报告


亚美尼亚科学院数学研究所Grigor Barsegian (俄文姓名:Grigor Barseghyan)院士于2017年4月10号第7周至6月30日第18周期间,每个周三和周四下午2点到4点在广州大学理学实验楼314室做学术报告或基础讲座,他在复分析,复几何,代数几何,几何分析等领域有建树,关键有一套自己的方法。

学术报告主要介绍他本人在单复变函数论中以其名命名的方法和基本结果,以及在复域微分方程、复代数几何、几何分析领域中的应用。Barsegian 院士本人给出详细的专业内容:Introduce or discusses my method, results and applications including my several results related to basic concepts in mathematics: among them more than 10 related to arbitrary meromorphic functions in the plane or (even in a given domain). There are also two essential news.

(a) "Triple principle" in geometry and analysis which leads also to universal version of value distribution theory which works for any function in any domain (unlike Nevanlinna-Ahlfors theories).

(b) Also recently I started a new trend in complex differential equations which studies of the meromorphic solutions in ... !!! a given domain.

Here the solutions were studied earlier (very intensively) only in the case of meromorphic functions in the plane or in the disks. Meantime the solutions in a given domain weren't touched at all. So that this is brand new trend. On the other hand we should remember that engineers and other applied scientist deal with some concrete domains and they aren't interested in functions in the plane. So that this new trend expected to be rather applicable.

Grigor Barseghyan 院士还将被邀请到其它院校以及会议上做学术报告,内容均不相同,届时会另行告知。欢迎省内外分析、微分方程以及几何代数等相关专业的有兴趣老师和研究生参加。


Grigor Barseghyan 院士简介


Barseghyan Grigor:男,1949年5月1日生。亚美尼亚共和国科学院数学研究所Basegian 院士是首席高级研究员,1972年博士毕业于 Yerevan State University。1972-1974在亚美尼亚科学院海洋研究所任助理研究员;1974年以来一直在亚美尼亚科学院数学研究所从事数学研究工作。其中1974-1980 助理研究员;1980-1984 研究员;1984-1990 首席研究员;1990-2008 研究团队顾问;2008 以来一直担任首席研究员。1999年被选为俄罗斯自然科学院院士。

在复分析值分布理论、几何分析理论、拟共形映照理论、极小曲面理论、代数几何理论和复微分方程理论中都有建树,建立了一套以其名命名的方法-Basegian 值点法,该方法在湍流分析与应用、物理学、生物学和经济数学中有应用前景。在Armenia, England, Germany, Georgia, Honk Kong, Hungary, India, Italy, Poland, Romania, Russia, Singapore, Spain, Switzerland, Japan, Yugoslavia, USA 等国家数学期刊上发表论文74篇. 是多个国际数学期刊的主编或编委,也是 ISAAC 等系列国际学术会议学术委员会成员,受邀并获资助40余次访问过20多个国家和地区。下面是他发表的有代表性的以及与中国学者合作研究的文章:

1 Barsegian G., Estimates of derivatives of meromorphic functions on sets of $\alpha$-points, J. London Math. Soc.34(1986), 534-540.

2 Barsegian G., On a method of the study of algebraic differential equations of higher orders, Bulletin of Hong Kong Math. Soc., 2(1): (1998), 159-164.

3 Barsegian G., Estimates of higher derivatives of meromorphic functions on sets of its a-points, Bulletin of Hong Kong Math. Soc., 2(2): (1999), 341-346.

4 Barsegian G., Laine I. and Yang C.C., Stability phenomenon and problems for complex differential equations with relations to shared values, Mat. Stud. 13 (2000), 224–228.

5 Barsegian G., Laine I. and Yang C.C., Locations of values of meromorphic solutions of algebraic differential equations, Complex Variables Theory Appl. 46 (2001), 323–336.

6 Barsegian G., Laine I. and Yang C. C., On a method of estimating derivatives in complex differential equations, J. Math. Soc.Japan54(2002), 923-935.

7 Barsegian G., Two new principles concerning presenting derivatives and distances between the a-points of meromorphic functions, Review Romaine de mathematiques Pures at Appliquess, v.34, n. 7-8, 1991, p. 420-424.

8 Barsegian G.A. and Yang C.C., Some new generalizations in the theory of meromorphic functions and their applications. Part 1. On the magnitudes of functions on the sets of a-points of derivatives. Complex Variables, v. 41, 2000, p. 293-313.

9 Barsegian G.A. and Yang C.C., Some new generalizations in the theory of meromorphic functions and their applications. Part 2. On the derivatives of meromorphic and inverse functions, Complex Variables, v. 44, 2001, p.13-27.

10 G. A. Barsegian, I. Laine and C. C. Yang, Locations of values of meromorphic solutions of algebraic differential equations, Complex Variables, v. 46, 2001, p. 323 - 336.

11 Barsegian G.A. and Walker P., On the mutual arrangement of a-points of a meromorphic functions and its derivatives, 2000, Southeast Asian Bulletin of Mathematics, v. 26, 2002, p.1.6.

12 Barsegian G. and Yang C. C., A new property of meromorphic functions and its applications. Analysis and applications. ISAAC 2001 (Berlin), 109.120, Int. Soc. Anal. Appl. Comput., 10, Kluwer Acad. Publ., Dordrecht, 2003.

13 Barsegian G., A new program of investigations in Analysis: Gamma-lines approaches, p. 1 - 73. In book: Value distribution and related topics, editors G. Barsegian, I. Laine and C.C. Yang; Kluwer, Series: Advances in Complex Analysis and Applications, 2004.

14 G. Barsegian, Le Dung Trang. On a topological description of solutions of complex differential equations. 2005, Complex Variables 50(5):307-318.

15 K. G. Barseghyan and G. A. Barsegian, Oscillations of Solutions of ODEs and Nevanlinna Theory, Global Journal of Mathematics & Mathematical Sciences. 2005, 1(1): 1-8

16 Barsegian G., Laine I. and Le D. T., On topological behavior of solutions of some algebraic differential equations, Complex Variables and Elliptic Equations, 53 (2008), 411 - 421.

17 G. Barsegian. A purely geometric inequality for analytic functions admitting no zeros. 2010, Complex Variables and Elliptic Equations 55(1-3):249-251.

18 G. Barsegian, Le Dung Trang. On the length of level sets of real functions. 2010, Analysis 30(2):135-146.

19 Alonso A., Barsegian G. and Fernadez A., Gamma-lines approach in the study of global behavior of solutions of complex differential equations, Complex Variables and Elliptic Equations, v 56, Issue 1-4, 2011, p. 119-135.

由于突出的学术成就,1977年获亚美尼亚自然科学奖;1983年获亚美尼亚Komsomol奖;2013年获欧洲科学研究委员会评选荣获 Marie Curie 奖赴英国的大学高级访问学者研究工作2年。

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