GA Net Updates

ISAAC9 registration deadline: 31 May 2013 – Session on Clifford and Quaternion Analysis

hitzer — Fri, 24 May 2013 11:04:31 +0000

Conference homepage: http://www.isaac2013.up.krakow.pl/
Session 5 on Clifford and Quaternion Analysis homepage: http://www.isaac2013.up.krakow.pl/index2.php?i=2 and http://isaac-clifford.web.ua.pt/krakow/Site/AIMS%26TOPICS.html

Dear Participant of the 9th ISAAC Congress,

We recall that the congress will be in Krakow at the Pedagogical University August 5-9, 2013. The deadline of the registration is May 31.
If you are not registrated please follow the link

http://www.isaac2013.up.krakow.pl/registration_form.php

Please take into account that the registration fee is 160 euro up to May 31. The registration will be continued up to June 15 but with the fee equal to 210 euro. It is related to the Polish procedures. The later registration is rather impossible since it increases all the costs related to servise and accomodation.

If you have problems with bank transfer, contact us now and confirm that you will pay cash in Poland.

Accomodation on reduced prices can be booked up to May 31 at http://www.isaac2013.up.krakow.pl/index2.php?i=6

The cost for accomodation will be lower if it is paid with the registration fee.

Welcome to Krakow
The Organizing Committee

—
9th International ISAAC Congress
http://www.isaac2013.up.krakow.pl/
—
Department of Computer Sciences and Computer Methods
Pedagogical University
30-084 Kraków, ul. Podchorążych 2
e-mail:9th.isaac@gmail.com

Source: ISAAC9 Organizing Committee, 9th.isaac_AT_gmail.com, 16 May 2013, http://www.isaac2013.up.krakow.pl/

Hitzer+Nitta+Kuroe: Applications of Clifford’s Geometric Algebra

hitzer — Thu, 23 May 2013 03:46:45 +0000

Eckhard Hitzer, Tohru Nitta and Yasuaki Kuroe, Adv. Appl. Clifford Algebras 23 (2013), 377–404, © 2013 Springer Basel, 0188-7009/020377-28, published online March 15, 2013, DOI 10.1007/s00006-013-0378-4

Soli Deo Gloria

Abstract.

We survey the development of Clifford’s geometric algebra and some of its engineering applications during the last 15 years. Several recently developed applications and their merits are discussed in some detail. We thus hope to clearly demonstrate the benefit of developing problem solutions in a unified framework for algebra and geometry with the widest possible scope: from quantum computing and electro-magnetism to satellite navigation, from neural computing to camera geometry, image processing, robotics and beyond.

Keywords.

Hypercomplex algebra, hypercomplex analysis, geometry, science, engineering, applications.

Source: http://link.springer.com/content/pdf/10.1007%2Fs00006-013-0378-4.pdf (download)

C. Castro: The Extended Born’s Reciprocal Relativity Theory

hitzer — Wed, 08 May 2013 02:47:34 +0000

The Extended Born’s Reciprocal Relativity Theory: Division, Jordan, N-Ary Algebras, and Higher Order Finsler Spaces
Author: Carlos Castro

We extend the construction of Born’s Reciprocal Relativity theory in ordinary phase spaces to an extended phase space based on Quaternions. The invariance symmetry group is the (pseudo) unitary quaternionic group $ U ( N_+, N_-, {\bf H} ) $ which is isomorphic to the unitary symplectic group $ USp( 2N_+, 2 N_-, {\bf C} )$. It is explicitly shown that the quaternionic group $ U ( N_+, N_-, {\bf H} ) $ leaves invariant both the quadratic norm (corresponding to the generalized Born-Green interval in the extended phase space) and the tri-symplectic $ 2 $-form. The study of Octonionic, Jordan and ternary algebraic structures associated with generalized spacetimes (and their phase spaces) described by Gunaydin and collaborators is reviewed. A brief discussion on $n$-plectic manifolds whose Lie $ n$-algebra involves multi-brackets and $n$-ary algebraic structures follows. We conclude with an analysis on the role of higher-order Finsler geometry in the construction of extended relativity theories with an upper and lower bound to the higher order accelerations (associated with the higher order tangent and cotangent spaces).

Comments: 17 Pages. Submitted to Foundations of Physics

Download: PDF

Source: Email from C. Castro, perelmanc_AT_hotmail.com, 1 May 2013, http://vixra.org/abs/1304.0164

Hitzer et al: Applications of Clifford’s Geometric Algebra

hitzer — Mon, 18 Mar 2013 10:13:46 +0000

Eckhard Hitzer, Tohru Nitta, Yasuaki Kuroe, Advances in Applied Clifford Algebras, Online First, March 2013, Digital Object Identifier (DOI) 10.1007/s00006-013-0378-4

Abstract

We survey the development of Clifford’s geometric algebra and some of its engineering applications during the last 15 years. Several recently developed applications and their merits are discussed in some detail. We thus hope to clearly demonstrate the benefit of developing problem solutions in a unified framework for algebra and geometry with the widest possible scope: from quantum computing and electromagnetism to satellite navigation, from neural computing to camera geometry, image processing, robotics and beyond.

Soli Deo Gloria

Look Inside Get Access

Source: Email from SpringerAlerts_AT_springeronline.com, 17 March 2013

10th Int. Conf. on Clifford Algebras and their Applications in Math. Physics, 4-9 Aug. 2014, Tartu, Estonia

hitzer — Thu, 14 Mar 2013 15:01:46 +0000

First Announcement of 10^th International Conference on Clifford Algebras and their Applications in Mathematical Physics

Dear Colleagues!

We have a great pleasure to invite you to take part in the 10^th International Conference on Clifford Algebras and their Applications in Mathematical Physics (ICCA10) which will be held in Tartu (Estonia), August 4 – 9, 2014. You can find more information concerning the Local Organizing Committee, International Advisory Board, aims and the scope of ICCA10 on the webpage of the conference http://icca10.ut.ee/. We plan to open online registration for ICCA10 in the middle of August 2013. If you have questions or requests you can contact the Local Organizing Committee by sending e-mail messages to the address icca10@ut.ee.

Sincerely yours,

Viktor Abramov
Chairman of the Local Organizing Committee of ICCA10.

Venue
The conference will take place at the Department of Mathematics and Statistics of the University of Tartu (address: J. Liivi 2) and at the university library (W. Struve 1). Both are only five minute’s walk from the city center. Here is a map with the conference locations (points A and B) and accommodation facilities in Estonia. Zoom in or out if necessary. By selecting appropriate layers from the Layers menu on the left, you can also see tourist attractions on the map. More information on Tartu can be found e. g. at the visitestonia.com page.

Topics
(I) Clifford algebras
Spinors, multilinear algebra and tensor products, quadratic spaces, K-theory, Witt groups, K-theory of rings, associative algebras, algebraic combinatorics including symmetric functions, combinatorial aspects of representation theory, group actions, group rings including twisted and skew group rings, non-commutative Groebner bases, Hopf algebras, algebroids, octonions …
(II) Geometric algebras
Geometric analysis, invariant differential operators, conformal and non-commutative geometry, geometric integral transforms, image processing, quaternion and Clifford Fourier and Wavelet transforms, robotics, structural dynamics, computer graphics, quaternion and hypercomplex neural networks, geographic information systems, optics, molecular chemistry …
(III) Global analysis, differential geometry, spin geometry
Dirac operators on manifolds, calculus on manifolds; nonlinear operators, spaces and manifolds of mappings, monogenic mappings, partial differential equations on manifolds, applications to physics, connections on bundles, gauge transformations, BRST formalism, infinite-dimensional Grassmann algebra with generators …
(IV) Clifford algebras and Clifford analysis in theoretical physics
Spectral triples and elementary particle physics, Dirac equation in electron physics, q-deformations and noncommutative spacetime, qantum field theory using Hopf algebras and other algebraic techniques, quantum gravity, quaternionic quantum mechanics and quantum fields,electrodynamics, non-associative structures, division algebras and their applications in physics, quaternions and Clifford algebra in crystallography, Clifford spaces …
(V) Clifford analysis, quaternionic analysis, applications
Dirac operators, relations to harmonic and Fourier analysis, singular integral operators, operator algebras, functional calculi, function spaces, partial differential equations, Radon transforms, scattering theory, inverse problems …
(VI) Discrete Clifford structures, numerical methods
Discrete Clifford algebras, discrete function theory, discrete potential theory, signal processing, discrete wavelet transforms, numerical methods for partial differential equations, dynamical systems, visualization …
(VII) History of Clifford algebras and Clifford analysis
Education, art, entertainment, interdisciplinary aspects, philosophical aspects, biographical studies, history of Grassmann algebra, history of quaternion algebra, reception and interpretation, psychology …
(VIII) Quaternionic and Clifford Fourier transforms and wavelets
Quaternion Fourier transform, Clifford Fourier transform, windowed Clifford Fourier transform, spacetime Fourier transform, geometric Fourier transform, Hilbert transform, Riesz transform, Clifford square roots of -1, Clifford Fourier kernel, Cauchy kernel, Poisson kernel, operator exponential, translation operator, Clifford convolution, hypercomplex signal, hyperanalytic signal, 2D+t analytic video signals, multidimensional complex signal, monogenic signal, conformal monogenic signal, improper non-stationary complex-valued signals, quaternionic time-frequency representation, quaternionic spectral analysis, multivector wave packet analysis, orthogonal planes split, multiquaternion Clifford algebras, monogenic curvature scale-space, demodulation, color image processing, visualization of flow fields, analysis of flow fields, Clifford wavelets, diffusive wavelets …
(IX) Ternary algebras and their applications
Ternary analogue of Grassmann algebra, ternary analogue of Clifford algebra, generalized Dirac equation, ternary generalization of supersymmetry, calculus of cubic matrices …

Local organizing committee

Prof. Viktor Abramov, University of Tartu
Olga Liivapuu, Estonian University of Life Sciences
Md. Raknuzzaman, University of Tartu
Jaan Vajakas, University of Tartu

Contact e-mail: icca10@ut.ee

Source: Email by V. Abramov, 14 Mar. 2013, viktor.abramov_AT_ut.ee, and http://icca10.ut.ee/

N. Faustino: Discrete Clifford Analysis (blog)

hitzer — Thu, 14 Mar 2013 04:39:58 +0000

a math blog of Nelson Faustino

http://discretecliffordanalysis.wordpress.com/

Description:
The aim of this blog is to disseminate the field of Discrete Clifford Analysis, already studied during my PhD studies (2004-2009). Further connections with other approaches will be also explored in parallel, in interconnection with my current research interests in the field.

Source: http://discretecliffordanalysis.wordpress.com/, 14 Mar. 2013

Deadlines extended: WSCG2013 – Graphics, Visualization, Computer Vision – Plzen‏, June 24-27, 2013, Czech Rep

hitzer — Tue, 12 Mar 2013 16:05:19 +0000

Important dates
Paper submission EXTENDED: Extended to March 31, 2013 23:55 GMT (London time)
Poster submission EXTENDED: May 5-15, 2013 23:55 GMT (London time)

Conference information: http://gaupdate.wordpress.com/2013/01/15/wscg2013-cfp-june-24-27-2013-czech-republic/

Source: Email by V. Skala, 11 Mar. 2013, skala_AT_kiv.zcu.cz

10th Symposium Clifford Analysis and Applications at ICNAAM 2013, Rhodes, Greece, 21-27 Sep. 2013

hitzer — Thu, 07 Mar 2013 15:51:42 +0000

International Conference of Numerical Analysis and Applied Mathematics 2013 21-27 September 2013, Rhodes, Greece.

URL: http://www.icnaam.org/

The conference will take place at Rodos Palace Hotel, Rhodes, Greece

On behalf of the Scientific Committee of this Conference it is a great pleasure and honour for us to invite you to come to Rhodes to our traditional symposium and present some of your latest results.

Clifford analysis as refinement of harmonic analysis and generalization of the one-dimensional complex function theory plays an important and increasing role in different areas of mathematics, physics, computer science and engineering. The symposium aims to reflect the state of the art in pure and applied Clifford analysis and to give ideas for new developments.

We invite scientists and engineers working by means of quaternionic or Clifford analysis in

geometric algebras and applications
partial differential equations, boundary and initial value problems
approximation theory and numerical simulations
wavelets, with application in signal analysis and image processing as well as applications in numerical analysis
differential geometry, analysis on manifolds
applications in physics
practical applications in engineering sciences in general, in particular applications
in robotics and in classical mechanics
special functions
conformal and quasi-conformal mappings
combinatorics, number theory
graph theory
quaternionic and Clifford analysis in education

to contribute to the symposium. You will find all information on the conference website: http://www.icnaam.org/
In the description of our symposium you will also find a link to the local website of the symposium. There we will publish a list of participants, the titles of the talks and the short abstracts. Later on we will also add the schedule of our symposium.

Extended abstracts of at most 4 pages will be published in volume of the AIP proceedings and on CD/DVD. The deadline for the submission you can find also on the conference website.

We need for our Symposium as soon as possible a tentative title. Until June 20 we would like to have an abstract of 10 lines. Please send this either to

sproessig@math.tu-freiberg.de (Wolfgang Sproessig) or to
klaus.guerlebeck@uni-weimar.de (Klaus Guerlebeck) .

Everything that has to do with registration, payment and hotel reservation has to be done with the main organizers in Greece.

We would be very much obliged if you decide to accept our invitation. If there any questions please do not hesitate to contact us. We look forward to meeting you in Rhodes.
With kind regards
Wolfgang Sproessig, Klaus Guerlebeck

Source: Email from T. Liesigk, tina.liesigk_at_uni-weimar.de, 7 Mar. 2013

Updated version of free Space Group Visualizer software: High speed + PowerPoint integration

hitzer — Fri, 01 Mar 2013 17:29:45 +0000

The Space Group Visualizer, that provides an interactive animated 3D visualization of all 230 space groups in three dimensions, has recently been updated. You can find the latest version for download at:

http://www.raytrix.de/downloads/software/SpaceGroupViz_Setup.exe

The speed gains when open the SGV are phenomenal! And there is now a completely new way of integrating the SGV into versions of PowerPoint 2007 and up. See the sample PowerPoint file in the SGV startup folder.

GALua module: Lua programming language with support for GA data-types

hitzer — Tue, 26 Feb 2013 16:05:41 +0000

The GALua Module
What is GALua?
GALua is a Lua module written in C++. The goal of the GALua module is to endow the Lua programming language with support for GA data-types (i.e. multi-vectors.) At the time of this writing, the module is experimental and admittedly slow, but it works.
How do I get GALua?
The current, officient distribution of GALua is GALua-win32-v1.0.zip. It is compatible with Lua 5.2.

If you are interested in seeing the entire project tree, you can obtain a copy of the module as a ZIP archive or tar-ball, along with the entire project source. GALua depends upon a statically linked library known as CalcLib which provides the GA calculation engine. The GAVisTool program is also based upon this library.

Following is a list of links giving you the entire module project source which you can use to build the DLL yourself for your platform. As of this writing, there are no project files or makefiles for platforms other than Win32.

Download GALua as a .zip file.
Download GALua as a .tar.gz file.
Download CalcLib as a .zip file.
Download CalcLib as a .tar.gx file.

To simply clone the GALua repository, issue the following command.

 $ git clone https://github.com/spencerparkin/GALua.git

How do I learn GALua?
Documentation on the module is provided here. As of this writing, GALua is on its first major release (v1.0).

Please send bugs or feedback to spencer ‘dot’ parkin ‘at’ gmail ‘dot’ com.

Source: Digest for geometric_algebra_AT_googlegroups.com – 3 Messages in 2 Topics‏ of 25 Feb. 2013, http://spencerparkin.github.com/GALua/, Email by S. Parkin, spencer.parkin_AT_gmail.com, 26 Feb. 2013