The Sixth Conference on Clifford Algebras and their Applications in Mathematical Physics, Tennessee Technogical University, May 20-26, 2002, Cookville, Tennessee

第六届克利福德代数及其在数学物理中的应用会议，田纳西理工大学，2002 年 5 月 20-26 日，田纳西州库克维尔

• 批准号: 0201303
• 负责人: Rafal Ablamowicz
• 金额: $ 2.5万
• 依托单位: Tennessee Technological University
• 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
• 起止时间: 2002-04-01 至 2003-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0201303&HistoricalAwards=false
• 关键词: Sixth; Conference; Clifford; Algebras; their

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.

DDMS-0201303 Rafal Ablamowicz和John Ryan该奖项为活跃的研究数学家和支持手段有限的科学家提供部分支持，以参加2002年5月20日至5月26日在田纳西州库克维尔举行的第六届Clifford代数及其在数学物理中的应用会议。该奖项与其他资金一起，将为一些演讲者和一些没有通过其他来源获得资金的参与者提供差旅支持，优先考虑毕业生、最近获得博士学位的S、少数民族和女性。作为会议的一部分，面向研究生和新近博士的Clifford代数和应用系列讲座将于2002年5月18日和19日举行。第六次会议将由国家科学基金会、美国数学学会、国际分析、应用和计算学会(ASAAC)、阿肯色大学、乔治梅森大学和田纳西理工大学赞助。会议的组织者期待着数学家、科学家和工程师之间的互动。会议将包括以下演讲者、五场会议、六场90分钟的演讲和其他活动：演讲者：Christian Bar、Helga Baum、Carlos A.Berenstein、Michael Eastwood、BertFried Fauser、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、陶谦、Smolin、Joser Vephilly、S.L.Woronowicz、Sijue Wu Sessions：Clifford分析(Dirac算子、小波、非线性变换、Harmonic分析/傅立叶分析、积分算子、奇异算子、Michael McCarthy、Marius Mitrea、Victor Nistor、Lee、Smolin、JosVephilly、S.L.Woronowicz、Sijue Wu Sessions：Clifford分析(Dirac算子、小波、非线性变换、Harmonic分析/傅立叶分析、积分算子、奇异算子、Michael McCarthy、Marius Mitrea、Victor Nistor、Lee、Smolin、JosVephilly、S.L.Woronowicz、Sijue Wu Sessions离散势理论、初值和边值问题)-几何(几何指数理论、共形和非对易几何、几何积分变换、自旋结构和狄拉克算符、扭子、牵引子和相关主题、不变微分算子、四元几何)-数学结构(Hopf代数和量子群、范畴理论、结构方法、二次型、厄米特形式、Witt群、任意场上的Clifford代数、李代数、旋量表示、例外李代数、超李代数、Clifford代数及其推广、无限维Clifford代数和Clifford丛)-物理学(微扰重整化和Hopf代数对偶、谱三角和初等粒子物理、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，自旋泡沫和量子重力，四元量子力学和量子场，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，工程(量子计算机，纠错，算法，机器人，逆运动学，空间控制，导航，控制论，图像处理和工程，神经网络)讲座(5月18日和19日，Clifford代数及其应用，2002年)：第一课：Clifford代数导论(Pertti Lounesto)第二课：Clifford代数的数学结构(Ian R.Porteous)第三课：Clifford分析(John Ryan)第四课：数学物理中的Clifford代数(Heinz Kruger)第五课：工程中的Clifford代数(Jon Selig)第六课：微分几何中的Clifford代数(Tom Branson)此外，还计划举行海报会议、圆桌讨论和书展。组织者预计将再招募两名演讲者。欲了解更多信息，请访问athttp://math.tntech.edu/rafal/cookeville/cookeville.html.。