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

DDMS-0201303拉法尔·拉莫维奇和约翰·瑞安该奖项提供了部分支持积极研究数学家和科学家与有限的支持手段参加第六届会议上克利福德代数及其应用在数学物理将于5月20日至5月26日在田纳西州库克维尔举行的田纳西理工大学，田纳西州。该奖项与其他资金一起，将为一些演讲者和一些没有其他来源资金的参与者提供差旅支持，优先考虑研究生、应届博士生的，少数民族和妇女。作为会议的一部分，克利福德代数和应用系列讲座针对研究生和最近的博士学位。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、应用和计算学会（ISAAC）、阿肯色州大学、乔治梅森大学和田纳西理工大学主办。 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者、五次会议、六次90分钟的电视演讲和其他活动：演讲者：克里斯蒂安·巴尔、赫尔加·鲍姆、卡洛斯A. Berenstein，Michael Eastwood，BertfriedFauser，亚历山大J. Hahn，Jacques Helmstetter，大卫Hestenes，Tadeusz Iwaniec，Jan J. Koenderink，Bertram Kostant，海因茨克鲁格，Anthony Lasenby，Shahn Majid，Michael McCarthy，Marius Mitrea，维克托尼斯托，陶谦，Lee Smolin，JosephVarilly，S.L. Woronowicz，Sijue WuSessions：- Clifford分析（Dirac算子，波函数，非线性变换，调和分析/傅里叶分析，奇异积分算子，离散势理论，初值和边值问题）-几何（几何指标理论，共形和非交换几何，几何积分变换，自旋结构和Dirac算子， 扭转器、牵引器和相关题目，不变微分算子，四元数几何学。数学结构（霍普夫代数和量子群，范畴论，结构方法，二次型，厄米特型，维特群，任意域上的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（微扰重整化和霍普夫代数对极，谱三元组和基本粒子物理学，q-变形和非对易时空，量子场论使用霍普夫代数和其他代数技术，自旋泡沫和量子引力，四元数量子力学和量子场，电子物理中的狄拉克方程，电动力学，非结合结构，八元数，除代数及其在物理学中的应用）-在计算机科学，机器人，工程中的应用（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，Clifford代数及其应用讲座（2002年5月18日和19日）：讲座1：Clifford代数介绍（Pertti Lounesto）讲座2：Clifford代数的数学结构（Ian R. Porteous）讲座3：克利福德分析（约翰瑞安）讲座4：克利福德代数在数学物理（海因茨克鲁格）讲座5：克利福德代数在工程（乔恩塞利格）讲座6：克利福德代数在微分几何（汤姆布兰森）此外，海报会议，圆桌讨论和书籍展览也计划。主办方预计将再招募两名发言人。 更多信息请访问http：math.tntech.edu/rafal/cookeville/cookeville.html。

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.