The Sixth Conference on Clifford Algebras and their Applications in Mathematical Physics, Tennessee Technogical University, May 20-26, 2002, Cookville, Tennessee
The Sixth Conference on Clifford Algebras and their Applications in Mathematical Physics, Tennessee Technogical University, May 20-26, 2002, Cookville, Tennessee
批准号:
0201303
负责人:
Rafal Ablamowicz
金额:
$2.5万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
2002
资助国家:
美国
项目状态:
已结题
起止时间:
2002-04-01 至 2003-03-31
中文摘要
rafal Ablamowicz和John ryan本奖项为参加第六届克利福德代数及其在数学物理中的应用会议的活跃研究数学家和科学家提供部分支持,该会议将于2002年5月20日至26日在田纳西州库克维尔举行。该奖项将与其他基金一起,为一些演讲者和一些无法通过其他渠道获得资金的参与者提供旅行支持,优先考虑研究生、刚获得博士学位的学生、少数族裔和女性。作为会议的一部分,将于2002年5月18日和19日发表针对研究生和刚毕业的博士的关于Clifford代数及其应用的系列讲座。第六届会议将由美国国家科学基金会、美国数学学会、国际分析学会及其应用与计算学会(ISAAC)、阿肯色大学、乔治梅森大学和田纳西理工大学赞助。会议的组织者期待数学家、科学家和工程师之间的互动。会议将包括以下演讲嘉宾,五场会议,六场90分钟的讲座和其他活动:Christian Bar、Helga Baum、Carlos A. Berenstein、Michael Eastwood、BertfriedFauser、Alexander J. Hahn、Jacques Helmstetter、David Hestenes、Tadeusz Iwaniec、Jan J. Koenderink、Bertram Kostant、Heinz Kruger、Shahn Majid、Michael McCarthy、Marius Mitrea、Victor Nistor、Tao Qian、Lee Smolin、JosephVarilly、S.L. Woronowicz、Sijue WuSessions:- Clifford分析(Dirac算子、小波、非线性变换、谐波分析/傅氏分析、奇异积分算子、-几何(几何指数理论、共形和非交换几何、几何积分变换、自旋结构和狄拉克算子、扭转、牵引器及相关主题、不变微分算子、四元几何)-数学结构(Hopf代数和量子群、范畴论、结构方法、二次型、埃米特型、Witt群、任意域上的clifford代数、李代数,旋量表示,特殊李代数,超级李代数,Clifford代数及其推广,无限维Clifford代数和Clifford束)-物理学(微扰重整化和Hopf代数对对,谱三元组和基本粒子物理,q变形和非对易时空,使用Hopf代数和其他代数技术的量子场论,自旋泡沫和量子引力,四元量子力学与量子场、电子物理中的狄拉克方程、电动力学、非结合结构、八元数、除法代数及其在物理中的应用)-在计算机科学、机器人技术、工程(量子计算机、纠错、算法、机器人技术、逆运动学、空间控制、导航、控制论、图像处理与工程、神经网络)中的应用克利福德代数概论(Pertti Lounesto)第二讲:克利福德代数的数学结构(Ian R. Porteous)第三讲:克利福德分析(John Ryan)第四讲:数学物理中的克利福德代数(Heinz Kruger)第五讲:工程中的克利福德代数(Jon Selig)第六讲:微分几何中的克利福德代数(Tom Branson)此外,还计划有海报会议、圆桌讨论和图书展览。组织者希望再招募两名发言人。更多信息请访问:math.tntech.edu/rafal/cookeville/cookeville.html。
英文摘要
DDMS-0201303Rafal Ablamowicz and John RyanThis award provides partial support for active research mathematicians andscientists with limited means of support to attend in The 6th Conference onClifford Algebras and their Applications in Mathematical Physics to be held atthe Tennessee Technological University from May 20 through May 26, 2002, inCookeville, Tennessee. The award, together with other funding, will providetravel support for some of the speakers and for some participants who do nothave funds available through other source, with priority given to graduatestudents, recent Ph.D.'s, minorities and women. As part of the conference, aLecture Series on Clifford Algebras and Applications aimed at graduate studentsand recent Ph.D.'s will be presented on May 18 and 19, 2002.The 6th Conference will be sponsored by the National Science Foundation, theAmerican Mathematical Society, the International Society for Analysis, itsApplications and Computation (ISAAC), University of Arkansas, George MasonUniversity, and the Tennessee Technological University. The organizers of theconference look for interaction among mathematicians, scientists and engineers.The conference will include the following speakers, five sessions, six 90 minutelectures, and other activities:Speakers: Christian Bar, Helga Baum, Carlos A. Berenstein, Michael Eastwood, BertfriedFauser, Alexander J. Hahn, Jacques Helmstetter, David Hestenes, Tadeusz Iwaniec,Jan J. Koenderink, Bertram Kostant, Heinz Kruger, Anthony Lasenby, Shahn Majid,Michael McCarthy, Marius Mitrea, Victor Nistor, Tao Qian, Lee Smolin, JosephVarilly, S.L. Woronowicz, Sijue WuSessions:- Clifford analysis (Dirac operators, Wavelets, non-linear transformations,Harmonic analysis/Fourier analysis, Singular integral operators, Discretepotential theory, Initial value and boundary value problems)- Geometry (Geometric index theory, Conformal and noncommutative geometry,Geometric integral transforms, Spin structures and Dirac operators, Twistors,tractors, and related topics, Invariant differential operators, Quaternionicgeometry)- Mathematical structures (Hopf algebras and quantum groups, Category theory,structural methods, Quadratic forms, Hermitian forms, Witt groups, Cliffordalgebras over arbitrary fields, Lie algebras, spinor representations,exceptional Lie algebras, super Lie algebras, Clifford algebras and theirgeneralizations, Infinite dimensional Clifford algebras and Clifford bundles)- Physics (Perturbative renormalization and Hopf algebra antipodes, Spectraltriples and elementary particle physics, q-deformations and noncommutativespacetime, Quantum Field Theory using Hopf algebras and other algebraictechniques, Spin foams and quantum gravity, Quaternionic quantum mechanics andquantum fields, Dirac equation in electron physics, Electrodynamics,Non-associative structures, octonions, division algebras and their applicationsin physics)- Applications in computer science, robotics, engineering (Quantum computers,error correction, algorithms, Robotics, inverse kinematics, space control,navigation, cybernetics, image processing and engineering, Neural networks)Lectures on Clifford Algebras and Applications (May 18 and 19, 2002):Lecture 1: Introduction to Clifford algebras (Pertti Lounesto)Lecture 2: Mathematical structure of Clifford algebras (Ian R. Porteous)Lecture 3: Clifford analysis (John Ryan)Lecture 4: Clifford algebras in mathematical physics (Heinz Kruger)Lecture 5: Clifford algebras in engineering (Jon Selig)Lecture 6: Clifford algebras in differential geometry (Tom Branson)Additionally, poster session, round table discussion, and book exhibits are alsoplanned. The organizers expect to recruit two additional speakers. Further information is available athttp://math.tntech.edu/rafal/cookeville/cookeville.html.
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