美国Oklahoma州立大学Weiping Li教授将访问西南大学数学研

美国Oklahoma州立大学Weiping Li教授将访问西南大

学数学研究所

应西南大学数学与统计学院唐春雷院长的邀请，美国Oklahoma州立大学李维萍（Weiping Li）教授将于2012年10月17日-20日访问西南大学数学与统计学院和数学研究所。访问期间李维萍教授将作2次学术报告,并与学院领导及有关教授商讨学科发展及拓展国际合作交流问题.

报告1 (面向教授和研究生)

题目: Regulator for the Characteristic Variety$L^2$-invariant and Volume Conjecture

时间:2012年10月17日下午4:00 – 5:00,

地点:25教学楼西南大学数学与统计学院14楼报告厅

报告2(面向各方向的研究生和高年级本科生)

题目: Global Optimization for Dynamical Systems

摘要: I will explain some recent applied math research from Calculus point of view. Anyone with basic calculus knowledge should be able to follow the talk,

at least I hope. I will try to explain main ideas on the problems, and how various disciplines are merging into this study

时间:2012年10月18日下午3:00 – 5:00,

地点:25教学楼西南大学数学与统计学院14楼报告厅

李维萍教授（美国Oklahoma州立大学终身教授）是世界著名数学家，他主要从事基础数学中的低维拓扑、微分几何及其相关方向的理论研究，同时也从事这些理论在最优化及金融数学等方面的应用研究（主要研究领域：Category theory; homological algebra；Differential geometry；Dynamical systems and ergodic theory；Global analysis, analysis on manifolds；Manifolds and cell complexes；Probability theory and stochastic processes）。他在该领域取得了杰出的成果：解决了该领域中许多长期未解决的猜想；他建立的某些研究理论是目前研究拓扑、微分几何等基础数学的有效方法。到目前为止独立及与其他数学家（南开大学陈省身数学研究所张伟平院士、冯惠涛教授等）合作在数学顶尖数学专业杂志Mathematische Zeitschrift，Topology，J. Differential Geom.，Forum Math. Topology Appl. J. Differential Equations，Contemporary Mathematics, Internat. J. Math. ，Commun. Stoch. Anal，Pacific J. Math.，Commun. Contemp. Math. Algebr. Geom. Topol.Math. Proc. Cambridge Philos.

Soc. J. Knot Theory Ramifications，Comm. Math. Phys.，J. Korean Math. Soc.，Turkish J. Math. 等上发表学术论文50 余篇。

李维萍教授于1987-1988 在美国Michigan州立大学，Georgia理工大学攻读基础数学专业的理学硕士学位，于1989-1992 年在美国Michigan州立大学数学系攻读基础数学专业的博士学位。1993年—1994年在美国国家数学研究所（MSRI）做博士后研究。之后一直在Oklahoma州立大学数学系工作。

李维萍教授在低维拓扑、微分几何领域是国际领军数学家之一，他的研究得到了美国国家自然科学基金（NSF）资助。

李维萍教授简历

Weiping Li:美国俄克拉荷马州立大学数学系:终身教授(Bell Professor)

1978-1982：大连工学院;本科生

1987-1988：美国密歇根（Michigan）州立大学、美国乔治亚（Georgia）理工大学研究生；

1989-1992：美国密歇根Michigan州立大学数学系博士研究生，

导师：Ronald Fintushel

1982-1987：大连铁道学院，讲师；

1992-1995：耶鲁（Yale）大学Gibbs讲师；

1993-1994：美国国家数学研究所（MSRI）博士后；

1995-2000：美国Oklahoma州立大学数学系Assistant professor；

2000-2006: 美国Oklahoma州立大学数学系Associate professor；

2006-: 美国Oklahoma州立大学Full professor， Bell Professor；

2003年度Oklahoma-Arkansas数学协会杰出教师奖。

美国国家自然科学基金(NSF)4项:

1. Atiyah's Conjectures on Floer Homology, DMS: 9626166, 1996.07-1998.06（独立负责）；

2. Topology, Arithmetic Groups and Toric Varieties, DMS: 9704535,

1997.08-2001.01（独立负责）；

3. 3-manifolds and Floer homologies, DMS: 0245323, 2003.07-2005.06（合作申

请）；

4. Conference on Topology and Geometry of Knots, DMS: 0900229, 2009.01-2009.12

（独立负责）。

学术和社会职务：

1.学术职务升迁委员会成员（Art and Science Reappointment, Promotion and Tenure）；

2. 任命和招聘委员会主席（Chair of (hiring) Appointments Committee）；

3. Oklahoma-Arkansa数学协会杰出教学奖评委会主席（Chair of Oklahoma-Arkansa MAA

Distingushed Teaching Award Committee）；

4. Oklahoma-Arkansa数学协会选取Court讲座委员会主席（Chair of the Court Lecture

Committee of the Oklahoma-Arkansas MAA）；

5. Oklahoma州立大学经济学院计量金融硕士研究生项目咨询人（Adviser for Business

School MSQFE Program）

6. Oklahoma州立大学亚裔教职工协会主席（President of Asian Faculty and Staff Association at Oklahoma State Univers

李维萍教授发表部分论文（美国数学评论收录）

1.Chow, Shui-Nee; Li, Weiping; Liu, Zhenxin; Zhou, Hao-Min A natural order in dynamical

systems based on Conley-Markov matrices. J. Differential Equations 252 (2012), no. 4,

3116–3141. (Reviewer: James S. Wiseman)

2.Topology and geometry in dimension three. Triangulations, invariants, and geometric

structures. Papers from the Jacofest Conference in honor of William Jaco's 70th birthday held at Oklahoma State University, Stillwater, OK, June 4–6, 2010. Edited by Weiping Li, Loretta Bartolini, Jesse Johnson, Feng Luo, Robert Myers and J. Hyam Rubinstein.

Contemporary Mathematics, 560. American Mathematical Society,

3. Li, Weiping; Wang, Qingxue An SL2(C)algebro-geometric invariant of knots. Internat.

J. Math. 22 (2011), no. 9, 1209–1230. 57M27

4.Feng, Huitao; Li, Weiping; Zhang, Weiping A Poincaré-Hopf type formula for Chern character

numbers. Math. Z. 269 (2011), no. 1-2, 401–410.

5.Li, Weiping; Xing, Mei Weak convergence for approximation of American option prices. Commun.

Stoch. Anal. 5 (2011), no. 3, 505–525. (Reviewer: Xinxin Jiang) 60G51 (60F05 60G40 91G20)

6.Li, Weiping; Wang, Qingxue SL2(C)-character variety of a hyperbolic link and regulator.

Pacific J. Math. 249 (2011), no. 2, 385–404. (Reviewer: Mohamed Elhamdadi)

7.Li, Weiping; Zhang, Weiping Twisted L2-Alexander-Conway invariants for knots.

Topology and physics, 236–259, Nankai Tracts Math., 12, World Sci. Publ., Hackensack, NJ, 2008. (Reviewer: Paul A. Kirk)

8.Li, Weiping; Wang, Qingxue On the generalized volume conjecture and regulator. Commun.

Contemp. Math. 10 (2008), suppl. 1, 1023–1032. (Reviewer: Athanase Papadopoulos)

9.Li, Weiping; Wang, Shuguang Instantons on conic 4-manifolds: Fredholm theory. J. Korean

Math. Soc. 44 (2007), no. 2, 275–296. (Reviewer: Dave Auckly)

10.Li, Weiping; Zhang, Weiping An L2-Alexander-Conway invariant for knots and the volume

conjecture. Differential geometry and physics, 303–312, Nankai Tracts Math., 10, World Sci. Publ.,

11.Li, Weiping "Knot and link invariants and moduli space of parabolic bundles'' ，Commun.

Contemp. Math. 3 (2001), no. 4, 501–531;

12.Li, Weiping; Zhang, Weiping An L2-Alexander invariant for knots. Commun. Contemp.

Math. 8 (2006), no. 2, 167–187. (Reviewer: Thomas Schick)

13.Li, Weiping Instanton Floer homology for connected sums of Poincaré spheres. Math. Z. 251

(2005), no. 1, 215–231. (Reviewer: Nikolai N. Saveliev)

14.Li, Weiping The Z-graded symplectic Floer cohomology of monotone Lagrangian

sub-manifolds. Algebr. Geom. Topol. 4 (2004), 647–684 (electronic). (Reviewer: Michael J. Usher)

15.Li, Weiping; Xu, Liang Counting SL2(F q)-representations of torus knot groups. J.

Knot Theory Ramifications 13 (2004), no. 3, 401–426. (Reviewer: Alexander Zvonkin)

16.Li, Weiping The semi-infinity of Floer (co)homologies. Vector bundles and representation

theory (Columbia, MO, 2002), 195–215, Contemp. Math., 322, Amer. Math. Soc., Providence, RI, 2003. (Reviewer: David E. Hurtubise)

17.Li, Wei Ping; Xu, Liang Counting SL2(F2s)representations of torus knot groups. Acta

Math. Sin. (Engl. Ser.) 19 (2003), no. 2, 233–244. (Reviewer: Alexander Zvonkin)

18.Li, Weiping A monopole homology for integral homology 3-spheres. Turkish J. Math. 27 (2003),

no. 1, 125–160. (Reviewer: Nikolai N. Saveliev)

19.Reviewed Li, Weiping Knot invariants from counting periodic points. Knots, braids, and

mapping class groups—papers dedicated to Joan S. Birman (New York, 1998), 95–106, AMS/IP Stud. Adv. Math., 24, Amer. Math. Soc., Providence, RI, 2001. (Reviewer: Alexander Zvonkin)

20.Li, Weiping Knot and link invariants and moduli space of parabolic bundles. Commun. Contemp.

Math. 3 (2001), no. 4, 501–531. (Reviewer: Hans U. Boden)

21.Li, Weiping Cap-product structures on the Fintushel-Stern spectral sequence. Math. Proc.

Cambridge Philos. Soc. 131 (2001), no. 2, 265–278. (Reviewer: Olivier Collin)

22.Li, Weiping Equivariant knot signatures and Floer homologies. Knots in Hellas '98, Vol.

3 (Delphi). J. Knot Theory Ramifications 10 (2001), no. 5, 687–701. (Reviewer: Olivier

Collin)

23.Li, Weiping Künneth formulae and cross products for the symplectic Floer cohomology.

Topology Appl. 110 (2001), no. 3, 211–236. (Reviewer: David E. Hurtubise)

24.Li, Weiping The symplectic Floer homology of the figure eight knot. Asian J. Math. 4 (2000),

no. 2, 345–350. (Reviewer: Nikolai N. Saveliev)

25.Li, Wei-ping; Yu, Yong-xi A necessary and sufficient condition on diffeomorphisms. J. Math.

Res. Exposition 20 (2000), no. 1, 1–22.

26.Li, Weiping A module structure on the symplectic Floer cohomology. Comm. Math. Phys. 211

(2000), no. 1, 137–151. (Reviewer: Darko Milinkovi?)

27.Li, Weiping The symplectic Floer homology of composite knots. Forum Math. 11 (1999), no.

5, 617–646. (Reviewer: Nikolai N. Saveliev)

28.Li, Weiping The symplectic Floer homology of the square knot and granny knots. Acta Math.

Sin. (Engl. Ser.) 15 (1999), no. 1, 1–10.

29.Li, Weiping Künneth formula for SO(3)Floer homology. Topology 38 (1999), no. 6,

1209–1237. (Reviewer: Bai-Ling Wang)

30.Li, Weiping Singular connections and Riemann theta functions. Topology Appl. 90 (1998),

no. 1-3, 149–163. (Reviewer: Shuguang Wang)

31.Li, Weiping Casson-Lin's invariant and Floer homology. J. Knot Theory Ramifications 6

(1997), no. 6, 851–877. (Reviewer: Nikolai N. Saveliev)

32.Li, Weiping Floer homology for connected sums of homology 3-spheres. J. Differential

Geom. 40 (1994), no. 1, 129–154. (Reviewer: V. P. Snaith)

33.Wang, Shao Wu; Li, Wei Ping Tensor products and tensor functors of R-n modules.

(Chinese) J. Math. Res. Exposition 5 (1985), no. 1, 17–24.