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Topic: Motive (algebraic geometry)

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	Motive - Biocrawler (Site not responding. Last check: 2007-10-08)
		Motive is a term that turns up both in the popular psychology of literature and cinema, and as term of art in law.
		Motive in itself is seldom an element of any given crime; however, the legal system typically allows motive to be proven in order to make plausible the accused's reasons for committing a crime, at least when those motives may be obscure or hard to identify with.
		The lesser offence of voluntary manslaughter, for example, traditionally required that the accused knowingly and voluntarily kill the victim (as in murder); in addition, it must be shown that the killing took place in the "sudden heat of passion," an excess of rage or anger coming from a contemporary provocation, which clouded the accused mind.
	www.biocrawler.com /encyclopedia/Motive (481 words)

	php-deluxe.net - description Motive algebraic geometry
		While the category of motives was supposed to be the universal Weil cohomology much discussed in the years 1960-1970, that hope for it remains unfulfilled.
		The consistency of a useful theory of motives still requires standard conjectures on algebraic cycles to be proven and at present there are different definitions of motives.
		The word motivic occurring in the phrase motivic Galois group and elsewhere signifies a conceptual connection to the theory, but it must be accepted that the theory may not yet be in final form.
	www.php-deluxe.net /encyclopedia,index.page,Motive-algebraic-geometry.htm (940 words)

	Leadership Motivation
		Motivation is important because it is involved in the performance of all learned responses.
		However, in humans, even these basic fundamental motivations are modified and mediated through social and cultural influences of various kinds: for example no analysis of hunger in humans could ignore the issues of eating disorders such as anorexia nervosa and obesity, for which the parallels in other animals are unclear.
		Hans von Wolzogen coined the term ''leitmotiv'' (guiding motive) to describe Richard Wagner's use of a recurring musical phrase to reinforce the emotional impact in his operas In law, especially criminal law, a motive is the cause that moves people and induce a certain action.
	aardogs.com /pages10/52/leadership-motivation.html (676 words)

	Islamic Art and the Argument from Academic Geometry
		The scholarship on the cultural context of geometry that is most directly relevant to the arabesque links the development of increasingly complex geometric designs with an intellectual interest in the science of geometry on the part of artisans, architects, geometers, and others.
		Geometry and color were used to elevate visual design to the intellectual level of music and to allow the viewer to have a transcendental experience of heaven.
		Widespread notions about the role of geometry as a bridge between the material and spiritual realms, coupled with the absolute beauty of its harmonious forms [which were thought to be] capable of purifying the mind like music, must have made geometric abstraction a particularly appealing visual idiom.
	www.sonic.net /~tallen/palmtree/academicgeometry.htm (13815 words)

	motive
		Motive power (Mach.), a natural agent, as water, steam, wind, electricity, etc., used to impart motion to machinery; a motor; a mover.
		By motive, I mean the whole of that which moves, excites, or invites the mind to volition, whether that be one thing singly, or many things conjunctively.
		Motive is the word originally used in speaking of that which determines the choice.
	www.vocamania.com /motive.aspx (1004 words)

	Algebraic Reasoning Problems \| Motive Algebraic Geometry (Site not responding. Last check: 2007-10-08)
		Observing the continued growth of the Internet and expansion of e-commerce solving algebraic expressions with charts online help and advice can't be beaten The greatest strategic advantage that Internet 08 xx general algebraic systems organizations have over traditional vanishing theorem in algebraic geometry stores is lower costs of doing business on the Internet..
		Observing the great success that many companies are having on the Internet algebraic master businesses learn more in offering their products and services for sale Perhaps the major advantage that Internet based algebraic answers for painted cubes retailers have over traditional algebraic reasoning problems shops is that expenses are significantly less.
		The continually developing Internet means algebraic thinking and patterns online help and advice can't be beaten Among the great advantages in using electronic commerce by the category algebraic numbers organizations acquire over non-internet based algebraic surf shops is that expenses are significantly less.
	dfjx.info /algebraic-reasoning-problems.htm (415 words)

	Geometry on Arc Spaces of Algebraic Varieties - Denef, Loeser (ResearchIndex) (Site not responding. Last check: 2007-10-08)
		Abstract: This paper is a survey on arc spaces, a recent topic in algebraic geometry and singularity theory.
		The geometry of the arc space of an algebraic variety yields several new geometric invariants and brings new light to some classical invariants.
		Denef, F. Loeser, Geometry on arc spaces of algebraic varieties, Proceedings of the Third European Congress of Mathematics, Volume 1, Progress in Mathematics 201, Birkhauser 2001, ISBN 3-7643-6417-3.
	citeseer.ist.psu.edu /denef01geometry.html (644 words)

	MPI MIS Leipzig - Motives in Relation to Mathematical Physics
		The theory of motives, founded by Alexandre Grothendieck in the 60ies, originates in algebraic geometry and proves to be a versatile tool to study generalised (co)homology theories.
		The motivic Galois theory used by Connes and Marcolli in renormalisation theory is another appearance of this intriguing structure in mathematical physics.
		The mini-workshop on 'Motives in Relation to Mathematical Physics' tries to provide a forum for mathematicians and physicist to discuss recent developments in the theory and application of motives.
	www.mis.mpg.de /conferences/motives/index_print.html (355 words)

	Geometry and Discourse
		Geometry is concerned with the ideal objects produced by the schematisation of experiential objects (MA 67f) (cf.
		The exclusion of dimensions is too central to Euclidean geometry to be dispensed with; but the uses of approximation to manage the exclusion, as found from ancient treatises down to modern textbooks, must be carefully handled to avoid blurring the exactitude which motivates the whole enterprise of geometry.
		Geometry, throughout the 17th and 18th centuries, remained, in the war against empiricism, an impregnable fortress of the idealists.
	www.beaugrande.com /Geometry.htm (11566 words)

	New Contexts for Stable Homotopy Theory
		Algebraic topology was applied with astounding success by Lefschetz, Hodge and others to tackle problems in complex algebraic geometry.
		This exploitation of motivic homotopy theory in number theory and algebraic topology was spurred on by the programme, which also played an important role in spreading the developing body of knowledge.
		The motivic world is only one of several new manifestations of stable homotopy theory which made important progress during the programme.
	www.newton.cam.ac.uk /reports/0203/nst.html (2154 words)

	Motive (algebraic geometry) biography .ms (via CobWeb/3.1 planetlab2.tamu.edu) (Site not responding. Last check: 2007-10-08)
		Consider a category (mathematics) of algebraic varieties over some field k with correspondences as morphisms.
		The consistency of a useful theory of motives still requires some conjectures to be proven and at the present moment there are different definitions of motives.
		There is also a notion of a mixed motive : one expects that a mixed motive is to a motive as a mixed Hodge structure is to a Hodge structure.
	www.biography.ms.cob-web.org:8888 /Motive_(mathematics).html (710 words)

	MOTIVIC TRANSFORMATIOMS & LIE ALGEBRAS (Site not responding. Last check: 2007-10-08)
		Felix Klein understood a geometry as a space where a set of "geometric invariants" are preserved under the action of a group of transformations that act on the space.
		The atomic units that he considers for transformations are coordinates of "motivic events" given generically at (p_k t_k), where p_k is the kth pitch and t_k is the "time" at which p_k starts.
		Adding these operators extends the Lie algebra to the algebra gl(2, Z) associated with the complete general linear group in two dimensions, GL(2, Z), where Z can be any field that will constitute the "scalar field" of the algebra.
	graham.main.nc.us /~bhammel/MUSIC/Liemotiv.html (3060 words)

	Algebraic Computation Symbolic \| Algebraic Expression A1 A1 (Site not responding. Last check: 2007-10-08)
		Deciding which are the best list of algebraic number theory topics requires a condsiderably amount of skill.
		We did many hours of research on geometry algebraic and sift out the best sites so we could point you in the right direction.
		As the net develops motive algebraic geometry websites are spring up everywhere One of the big advantages that online list of algebraic topology topics organizations acquire over non-internet based algebraic computation symbolic organizations is that they are able to make rapid responses to changes.
	ctmi.info /algebraic-computation-symbolic.htm (334 words)

	Science Math Geometry Algebraic Geometry Research Groups \| Algebraic Structure (Site not responding. Last check: 2007-10-08)
		We've done the hard work to determine the leading information for science math geometry algebraic people and anything kindred to science math geometry algebraic geometry research groups.
		We have searched the Internet in search of the greatest bargains on the net for what is the difference between an algebraic expression and and finalized our results on this summary site that list the websites that offer appreciable value when shopping for algebraic and coalgebraic methods in the mathematics of.
		We have scoured around the Internet in search of the contemporary plans for algebraic expressions activities and finalized our results on this summary site that list the websites that offer empathy and reliability when shopping for partially ordered algebraic systems.
	dmbl.info /science-math-geometry-algebraic-geometry-research-groups.htm (323 words)

	Scientific Alternative Viewpoints
		The theory of motives is a branch of algebraic geometry dealing with algebraic varieties over a fixed field, k.
		The theory of pure motives is related to many deep unsolved problems in algebraic geometry, via what are known as the standard conjectures.
		Higher-dimensional algebra III: n-Categories and the algebra of opetopes
	scientific.freewebspace.com (842 words)

	Carlo Mazza's Home Page: resume (Site not responding. Last check: 2007-10-08)
		Presented the talks "Finite dimensional motives" and "On Voevodsky's work" at the "Symposium on Algebraic Geometry in Hiroshima", organized by the Hiroshima University.
		June 7th-19th 1998 Attended the NATO ASI conference "The Arithmetic and Geometry of Algebraic Cycles" held in Banff, Canada organized by the C.R.M. Montreal.
		September 1st-9th 1997 Attended the conference "School on Algebraic K-Theory and Applications" held in Trieste, Italy organized by the I.C.T.P. Undergraduate student of the Corso di Laurea in Matematica (Math major) at the Univerista' degli Studi di Genova (University of Genoa, Italy).
	www.math.ias.edu /~carlo/resume.html (925 words)

	[No title]
		Therefore, algebraic geometry is a theory which is based on the two funda* *mental notions of affine scheme and Grothendieck topology.
		Our motivations for starting such a program* * come from several questions in algebraic geometry and algebraic topology and will be* * clari- fied in the two entries Examples and applications and Relations with other work* *s of this introduction.
		Furtherm* ore, as relative algebraic* geometry has found interesting applications in the T* annakian formalism (see [De1 ]), it should not be surprising that algebraic* geometr* *y over the 1-category of complexes is relevant to higher Tannakian theory.
	www.math.purdue.edu /research/atopology/Toen-Vezzosi/agmod-web.txt (18061 words)

	Colloquium \| Department of Mathematics
		The first gap concerns analytic geometry: namely, I show that there is no way to extend the Hodge conjecture to the Kaehler situation.
		A consequence that I want to point out is that the "motive" and in particular the Hodge structure of these spaces can be built from that of the curve in a precise sense.
		The problem of counting integral points on homogeneous algebraic varieties is a natural generalization of such clasical problems as the lattice point counting problem in the Euclidean or hyperbolic plane, or the counting of unimodular integral matrices.
	www.math.ohio-state.edu /colloquium (1040 words)

	Motive (algebraic geometry) - Wikipedia, the free encyclopedia
		In algebraic geometry, a motive (or sometimes motif) refers to 'some essential part of an algebraic variety'.
		The resulting category has direct sums and tensor products, but is not abelian.
		Vladimir Voevodsky work: Cycles, Transfers and Motivic Homology Theories.
	en.wikipedia.org /wiki/Motive_(algebraic_geometry) (995 words)

	Donu Arapura's Home Page.
		Information about the working algebraic geometry seminar is here.
		Geometry of cohomology support loci for local systems I (published in J. Alg.
		My (somewhat dated) survey article on fundamental groups of smooth projective varieties is contained in the book: Current topics in complex algebraic geometry which is also available electronically at MSRI.
	www.math.purdue.edu /~dvb (332 words)

	MAT1191HF - Topics in Algebraic Geometry: Grothendieck groups, Chow motives. (Site not responding. Last check: 2007-10-08)
		Topics in Algebraic Geometry: Grothendieck groups, Chow motives.
		The definition of the Grothendieck groups of an algebraic scheme was motivated by the expectation to generalize the classical Riemann-Roch theorem to the "relative case".
		The theory of motives was concieved by A. Grothendieck in the 60's with the purpose to study (i.e.
	www.math.toronto.edu /~kc/1191hf.html (243 words)

	Abdullah Algebraic \| Math Geometry Algebraic Geometry (Site not responding. Last check: 2007-10-08)
		Looking at the continued growth of Internet selling abdullah algebraic retailers develop more experience in providing services and goods Perhaps the major advantage that Internet based algebraic function of a circle e-commerce traders on their shopping mall algebraic rules merchant is that overall operational costs are significantly reduced.
		Tracking down the best motive algebraic geometry portals is frequently difficult.
		Of course, being a recently created web site we dont yet have a huge amount of data on the precise search term you were looking for algebraic expression operations, but were getting there.
	ctmi.info /abdullah-algebraic.htm (242 words)

	UBC Algebraic Geometry Seminar Spring 2006 (Site not responding. Last check: 2007-10-08)
		The UBC Algebraic geometry seminar will usually be held on Mondays 3-4 in WMAX 110 (PIMS).
		I'll show that if the Shimura variety is related to abelian varieties, then a motive can be constructed which realizes to the subspace of intersection cohomology satisfying the generalized Ramanujan conjecture at (any) one finite prime.
		Abstract: Let G be a split connected semisimple group over a field K. We give a conjectural formula for the motive of the stack of G-bundles over a curve C, in terms of special values of the motivic zeta function of C. The formula is true if C=P
	www.math.ubc.ca /~brosnan/Pages/AlgGeom/index.html (510 words)

	Amazon.com: Handbook of K-Theory, 2 volume set: Books: Eric M. Friedlander,Daniel R. Grayson (Site not responding. Last check: 2007-10-08)
		It is in the context of algebraic geometry where research in K-theory has shown the greatest activity.
		What is now called `motive theory' involves the study of how well known constructions in algebraic topology can be carried over to algebraic geometry.
		These are well known in algebraic topology, but for (nonsingular) varieties or (regular) schemes in algebraic geometry one needs another approach that respects as much as possible the general ideas in algebraic topology.
	www.amazon.com /Handbook-K-Theory-set-Eric-Friedlander/dp/354023019X (1710 words)

	Read This: Briefly Noted, Late May 2005
		Grothendieck's vision, 40 years ago, was that the arithmetic properties of algebraic varieties suggested the existence of some sort of underlying object, which he termed a "motive" (or, perhaps, a "motif", as in music or literature).
		Its first two sections discuss pure motives and mixed motives, respectively, and the third section puts the theory to work in an interesting way by studying periods of motives and their connection to polyzeta functions.
		Each of the first two parts is preceded by a motivational chapter that, though still not easy, tries to show why the theory to be developed is necessary.
	www.maa.org /reviews/brief_latemay05.html (2320 words)

	University of British Columbia Algebraic Geometry Seminar (Site not responding. Last check: 2007-10-08)
		(Shahn Majid): Noncommutative geometry is a more general formulation of geometry that does not require coordinates to commute.
		As such it unifies quantum theory and geometry and should appear in any effective theory of quantum gravity.
		In this general talk we present quantum groups as a microcosm of this unification in the same way that Lie groups are a microcosm of usual geometry.
	www.math.ubc.ca /~hhtseng/agsf05.html (849 words)

	Institute for Advanced Study: Faculty and Emeriti: Deligne
		Pierre Deligne is known for his work in algebraic geometry and number theory.
		He pursues a fundamental understanding of the basic objects of arithmetical algebraic geometry—motive, L-functions, Shimura varieties —and applies the methods of algebraic geometry to trigonometrical sums, linear differential equations and their monodromy, representations of finite groups, and quantization deformation.
		Deligne’s research includes work on Hilbert’s 21st problem, Hodge theory, the relations between modular forms, Galois representations and L series, the theory of moduli, tannakian categories, and configurations of hyperplanes.
	www.ias.edu /about/faculty-and-emeriti/deligne (90 words)

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