61. Topology And Geometry Jeff Weeks . topology and geometry Software. Fun and Games for ages 10 and up. Torus and Klein Bottle games (online), Kali (Windows, Macintosh), KaleidoTile http://geometrygames.org/

Jeff Weeks' Topology and Geometry Software Fun and Games for ages 10 and up Torus and Klein Bottle games (online) Kali (Windows, Macintosh) KaleidoTile (Windows, Macintosh) Classroom Materials for teachers grades 6-10 Exploring the Shape of Space Curved Spaces for software developers Computer Graphics in Curved Spaces (OpenGL, Direct3D) Research Software for mathematicians SnapPea (Linux, Macintosh, Windows) Comments? Problems? Suggestions? Contact Jeff Weeks awards and links

62. Novikov Conjecture Home Page An archive of developments concerning the Novikov Conjecture and related problems in Algebraic topology, General topology, geometry, Algebra, and Analysis. Maintained by Jonathan Rosenberg. http://www.math.umd.edu/users/jmr/NC.html

Novikov Conjecture Home Page The intended function of this home page is to keep you up-to-date on the latest developments concerning the Novikov Conjecture and related problems in topology, geometry, algebra, and analysis. Further contributions of all sorts are welcome. Please send them to Jonathan Rosenberg at jmr@math.umd.edu Bibliography on the Novikov Conjecture and related topics: This bibliography is based on the one in "A history and survey of the Novikov Conjecture" by Steve Ferry, Andrew Ranicki, and Jonathan Rosenberg. The original version appeared in volume 1 of "Novikov Conjectures, Index Theorems and Rigidity" (listed below under books) but we will try to update it regularly. To view the dvi file (approx. 80kb), click here . For a tar'ed dvi file (better suited for downloading), click here Some recent books: "Novikov Conjectures, Index Theorems and Rigidity," co-edited by Steve Ferry, Andrew Ranicki, and Jonathan Rosenberg, London Math. Soc. Lecture Notes, vols. 226 and 227 (approx. 380 pages each), Cambridge Univ. Press,

63. S.V.Duzhin Laboratory of Representation Theory and Computational Mathematics (A.M.Vershik), Steklov Mathematical Institute, St Petersburg. Lowdimensional topology, differential geometry, combinatorics, mathematical computations. http://www.pdmi.ras.ru/~duzhin/

Sergei Duzhin Research interests in mathematics: low-dimensional topology, differential geometry, combinatorics, mathematical computations. Main permanent position : senior researcher, Laboratory of Representation Theory and Computational Mathematics A.M.Vershik 's lab), Petersburg Branch of the Steklov Mathematical Institute (PDMI) Auxiliary positions : professor at the Independent University of Moscow and at the Fizmatclub Official address: Steklov Institute of Mathematics at St.-Petersburg; 27, Fontanka, St.-Petersburg 191023, RUSSIA. Phone: 7 (812) 312-88-29, 311-57-54. FAX: 7 (812) 310-53-77. During 15 years (19852000) I worked at the Program Systems Institute in Pereslavl-Zalessky . See my old Web site there which contains some materials that have not migrated here. Click below for: Bibliography of Vassiliev Invariants (moved from D.Bar-Natan in June 2005). Currently 602 items. Mathematical seminars: Seminar on Low-Dimensional Mathematics "Moscow-Petersburg" , PDMI, SPb ( started in 2001 V.I.Arnold's Seminar on Singularity Theory , Moscow University ( active since 1960's, Web pages since 1996

64. Topology, Geometry And Quantum Field Theory: Conference Photographs topology, geometry, and Quantum Field Theory. Oxford. 2429 June 2002. Conference Photographs. Photograph of all participants (553 K) http://www.maths.ox.ac.uk/notices/events/special/tgqfts/photos/

Topology, Geometry, and Quantum Field Theory Oxford 24-29 June 2002 Conference Photographs Photograph of all participants (553 K) Key to Photograph of all participants Small groups: Witten, Moore, Segal, Nekrasov Candelas, Segal, Freed, Hitchin, Dijkgraaf A thinking audience A full house Individual speakers: R. Cohen R. Dijkgraaf E. Frenkel M. Hopkins ... E. Witten

65. [hep-th/9907119] Topological Quantum Field Theories -- A Meeting Ground For Phys Topological quantum field theories can be used as a powerful tool to probe geometry and topology in low dimensions. ChernSimons theories, which are examples of such field theories, provide a field theoretic framework for the study of knots and links in three dimensions. http://arxiv.org/abs/hep-th/9907119

High Energy Physics - Theory, abstract hep-th/9907119 From: Romesh Kaul [ view email ] Date: Thu, 15 Jul 1999 10:54:25 GMT (46kb) Topological Quantum Field Theories A Meeting Ground for Physicists and Mathematicians Authors: R.K. Kaul Categories: hep-th math-ph math.MP Comments: Latex, 27 eps figures Subj-class: High Energy Physics - Theory; Mathematical Physics Full-text: PostScript PDF , or Other formats References and citations for this submission: SLAC-SPIRES HEP (refers to , cited by , arXiv reformatted); CiteBase (autonomous citation navigation and analysis) 1 trackback What's this? (send trackbacks to http://arxiv.org/trackback/hep-th/9907119) Which authors of this paper are endorsers? Links to: arXiv hep-th find abs

66. Symplect Topology/Geometry Symplectic topology/geometry. Last Updated April 30, 2001 AG/0011149 (20 Nov 2000) Stringy geometry and topology of Orbifolds Author Yongbin Ruan http://www.math.uiuc.edu/~hyeon/rap/3symplectic.htm

Symplectic Topology/Geometry Last Updated : April 30, 2001 math.DG/0104196 (19 Apr 2001) Moment maps, monodromy and mirror manifolds Authors: R. P. Thomas math.AG/0007191 (12 Feb 2001) Decomposition of Marsden-Weinstein reductions for representations of quivers Authors: William Crawley-Boevey math.AG/0101256 (31 Jan 2001) Intersection cohomology of representation spaces of surface groups Authors: Young-Hoon Kiem math.AG/0101079 (9 Jan 2001) Cohomology pairings on singular quotients in geometric invariant theory Authors: Lisa C. Jeffrey, Young-Hoon Kiem, Frances Kirwan, Jonathan Woolf math.SG/0012075 (11 Dec 2000) A construction of symplectic connections through reduction Authors: P. Baguis, M. Cahen Comments math.SG/0012067 (10 Dec 2000) Lefschetz pencils and the canonical class for symplectic 4-manifolds Authors: Simon Donaldson, Ivan Smith math.AG/0011149 (20 Nov 2000) Stringy Geometry and Topology of Orbifolds Author: Yongbin Ruan math.AG/0010187 (19 Oct 2000) A new six dimensional irreducible symplectic variety , Authors: Kieran G. O'Grady

67. DEPARTAMENTO DE XEOMETRIA E TOPOLOXIA Department of geometry and topology. http://xtsunxet.usc.es/

Novidades Profesorado Docencia en licenciaturas Doutoramento Novidades Profesorado Docencia en licenciaturas Doutoramento ... MATEMÁTICAS

68. Geometry And Topology, Department Of Mathematics, UIUC The document Graduate Study in geometry and topology outlines the general areas of Robert Ghrist, topology (contact geometry/topology, Morse theory, http://www.math.uiuc.edu/GraduateProgram/researchmath/geomtop.html

Geometry and Topology Graduate Courses The document Graduate Study in Geometry and Topology outlines the general areas of geometry and topology studied here and describes the advanced undergraduate and graduate courses that are offered regularly. Faculty Members in Geometry and Topology Stephanie Alexander Differential geometry, global analysis. Matthew Ando Homotopy theory, formal groups, analysis on loop spaces, elliptic cohomology and representation theory. Maarten Bergvelt Completely integrable systems, Infinite dimensional Grassmannians, vector bundles and gauge theory. Steven Bradlow Differential geometry, gauge theory, holomorphic vector bundles, moduli spaces. George K. Francis Geometrical graphics, numerical geometry, descriptive topology, differential topology, dynamical systems, low dimensional geometry and topology. Robert Ghrist Topology (contact geometry/topology, Morse theory, braid theory), dynamics (flows, bifurcation theory, Conley index), and applications (fluids, robotics, computational topology). Ely Kerman Hamiltonian dynamics and symplectic topology Christopher Leininger Eugene Lerman Symplectic geometry, symmetric Hamiltonian systems.

69. Some Thoughts On Doing A PhD In Topology/geometry Some thoughts about doing a Phd (in topology/geometry). Since it seems likely that I will be asked for advice by students increasingly often, http://www.math.ucsd.edu/~justin/phdadvice.html

Some thoughts on doing a PhD in topology/geometry by Justin Roberts Some thoughts about doing a Phd (in topology/geometry) Since it seems likely that I will be asked for advice by students increasingly often, I thought I should try to jot down some thoughts in order to save myself a certain amount of repetition, and also to try to fix what my answers would be. I haven't thought very hard about most of this though, so take it all with a pinch of salt. Why should you do a PhD? Because you love maths. Of course there are lots of potential reasons for spending time in grad school: you might want to become a research mathematician, or perhaps a teaching mathematician, or just avoid having to make any kind of decision for a few more years. I think in the US it doesn't make much difference to outside career development if you spend 5 years in grad school and then leave to do something completely different. The degree of PhD does seem to be somewhat respected, and the idea of being "overqualified" doesn't seem to be a worry as it seems to be in Britain. Whatever your goal though, the fact is that trying to prove some theorems and write a thesis is hard work. It demands a certain amount of discipline, isolation, concentration, persistence, and can at times be fairly depressing (you can spend six months stuck on something or find that something you worked very hard to achieve isn't really necessary anyway; someone else may publish your theorem before you, and so on.) The only way it's going to be fun is if you really have an insatiable curiosity and delight in doing maths.

70. Jose Ferreira Alves' WWW Page Xth Oporto Meeting. Oporto, Portugal; 2024 September 2001. http://www.fc.up.pt/mp/actividades/om.html

Please wait a moment to be transferred to the new URL http://www.math.ist.utl.pt/~jmourao/om/omxii

71. UCSD Topology/Geometry Seminars, Winter 2005 UCSD topology/geometry Seminars, Winter 2005. Time TBA in room 7218. Organisers Justin Roberts, Nitu Kitchloo, Jim Lin The following is a provisional list http://www.math.ucsd.edu/~justin/topseminar.html

UCSD Topology/Geometry Seminars, Winter 2005 Time TBA in room 7218. Organisers: Justin Roberts, Nitu Kitchloo, Jim Lin The following is a provisional list of speakers: justin@math.ucsd.edu Image of (-2,3,-5) pretzel knot from Rob Scharein's KnotPlot Site

72. Geometry And Topology Of Manifolds Krynica, Poland; 27 April 3 May 2003. http://im0.p.lodz.pl/konferencje/krynica2003/

New: Abstracts and lectures dvi ps pdf Under the auspices of Prof. Jan Krysiñski Rector of the Technical University of £ódŸ

73. THE UNIVERSITY OF CHICAGO Department Of Mathematics Graduate 31700, Farb, topology/geometry I. 32500, Alperin, Algebra I 31900, Weinberger, topology And geometry III. 32700, May, Algebra III http://www.math.uchicago.edu/2004-2005.html

THE UNIVERSITY OF CHICAGO Department of Mathematics Graduate Courses Autumn Quarter 2004 Course Number Instructor Course Title Hirschfeldt Computable Model Theory-1 Ryzhik Analysis I Farb Topology/Geometry I Alperin Algebra I Kirr Applied Analysis-1 Kenig Seminar on Topics of Analysis Kisin Galois Representations and Modular Forms Kottwitz Sheaf Theory Glauberman New results on finite groups Baily Siegel Modular Forms/Functions Ginzburg Quivers in algebra, geometry, and rep. thry Proseminar in algebraic topology May Proseminar “bis” in algebraic topology Monod Amenability Narasimhan Transcendental Numbers Nori K-theory and related topics Seidel Symplectic topology of algebraic varieties Geometric Langlands Seminar Bloch Algebraic Geometry Winter Quarter 2005 Course Number Instructor Course Title Soare Computability and Complexity CMSC 38500 Hirschfeldt Computable Model Theory-2 Soare Model Theory-1 Webster Analysis II Seidel Topology/Geometry-2 Gaitsgory Algebra-2 Applied Analysis-2 Kenig Seminar on Topics of Analysis, Alperin Block Theory Kisin Galois Representations/Modular Forms-2 Klinger Non-Abelian Hodge Theory Kottwitz Automorphic Forms on GL(n)-1 Farb Geometric Literacy Proseminar in algebraic topology May Proseminar “bis” in algebraic topology Weinberger Topology of Manifolds Ginzburg Geometry of semisimple group Ginzburg Quantum groups Vologodsky Intro to p-adic Hodge Thry Geometric Langlands Seminar Spring Quarter 2005 Course Number Instructor Course Title Soare Model Theory-2 Kenig Analysis III Weinberger Topology And Geometry III May Algebra III Baily Siegel Modular Forms/Functons 2

74. Geometry/Topology Seminar the abstracts click on the link geometry/topology Seminar Web Page To receive announcements of talks you can sign up for the geometrytopology email http://www.math.uchicago.edu/~geometry/gt_seminar.html

Geometry/Topology Seminar Thursdays (and sometimes Tuesdays) , in 308 Eckhart. if you have problems viewing the abstracts click on the link Geometry/Topology Seminar Web Page Fall 2005 September 14 (SPECIAL DAY - Wednesday 2:00-3:00PM) SPECIAL LOCATION - Eckhart 203 Andres Navas-Flores , IHES and Universidad de Chile Random products of circle diffeomorphisms Abstract: In this talk I will consider random walks on finitely generated groups of circle homeomorphisms, proving that for "non elementary" actions (i.e. without invariant probability measure) satisfying some natural "irreducibility" condition (i.e. there is no circle homeomorphism centralizing the group), the circle (endowed with the corresponding stationnary measure) is a boundary. This corresponds to a probabilistic approach to the weak Tits alternative for groups of circle homeomorphisms proven by Margulis; we will however follow an idea introduced by Ghys. As a corollary one obtains the unicity of the stationnary measure for the action. For the case of groups of C^1 diffeomorphisms one can consider the Lyapunov exponent with respect to the Lebesgue measure: I will give the ideas of the proof of the fact that this number is negative for non elementary actions. As a corollary one obtain an improved and sharp version of a classical result for codimension one foliations by Sacksteder: every non elementary group of C^1 circle diffeomorphisms contains elements having only hyperbolic fixed points.

75. Topology s and illustrations of several Topological and Differential geometry related notions....... http://www.chez.com/alcochet/toposi.htm

TOPOLOGY Here are fundamental objects of the lacanian topology : The Möbius band The torus The Klein bottle The cross-cap The borromean knot Topology is a branch of pure mathematics, deals with the fundamental properties of abstract spaces. Whereas classical geometry is concerned with measurable quantities, such as angle, distance, area, and so forth, topology is concerned with notations of continuity and relative position. Point-set topology regards geometrical figures as collections of points, with the entire collection often considered a space. Combinatorial or algebraic topology treats geometrical figures as aggregates of smaller building blocks. BASIC CONCEPTS In general, topologists study properties of spaces that remain unchanged, no matter how the spaces are bent, stretched, shrunk, or twisted. Such transformations of ideally elastic objects are subject only to the condition that nearby points in one space correspond to nearby points in transformed version of that space. Because allowed deformation can be carried out by manipulating a rubber sheet, topology is sometimes known as rubber-sheet geometry. In contrast, cutting, then gluing together parts of a space is bound to fuse two or more points and to separate points once close together. The basic ideas of topology surfaced in the mid-19th century as offshoots of algebra and ANALYTIC GEOMETRY. Now the field is a major mathematical pursuit, with applications ranging from cosmology and particle physics to the geometrical structure of proteins and other molecules of biological interest.

76. Re: Topology, Geometry baez@galaxy.ucr.edu (John Baez) wrote What is difference between topology and geometry? geometry you learn in high school; topology in college. http://www.lns.cornell.edu/spr/2001-12/msg0037349.html

Date Prev Date Next Thread Prev Thread Next ... Thread Index Re: Topology, geometry Subject : Re: Topology, geometry From Date : Mon, 3 Dec 2001 21:03:40 +0000 (UTC) Approved : spr@rosencrantz.stcloudstate.edu (sci.physics.research) Message-ID nn5n0uclj321q489mdr9s6qbk5v3kcikdr@4ax.com Newsgroups : sci.physics.research Organization : (none) References 9uedsp$p5f$1@glue.ucr.edu Sender : news@nnrp1.twtelecom.net Follow-Ups Re: Topology, geometry From: References Topology, geometry From: baez@galaxy.ucr.edu (John Baez) Prev by Date: Re: QM Interpretations Next by Date: ADMINISTRIVIA: Welcome to sci.physics.research! Prev by thread: Topology, geometry Next by thread: Re: Topology, geometry Index(es): Date Thread

77. Alex Suciu Northeastern University, Boston. topology and combinatorics hyperplane arrangements, the topology and geometry of manifolds, the homology of discrete groups, the homotopy theory of highdimensional knots. http://www.math.neu.edu/~suciu/

Alexandru I. Suciu Professor Office Number: 441 LA Phone Number: Fax Number: Mailing Address: Northeastern University Department of Mathematics 360 Huntington Avenue Boston, MA 02115, USA PhD received from Columbia University I hail from Bucharest, Romania. I did my undergraduate studies in Mathematics at the University of Bucharest ; here is a picture from those days. For my graduate studies, I went to Columbia University, in New York City; here is a picture from that time (taken in Cambridge, UK). After a J.W. Gibbs Instructorship at Yale University , in New Haven, I came to Northeastern University, in Boston, where I've been ever since. Research Math publications Other publications Citations Meetings organized ... Talks My research interests are in Topology, and how it relates to Algebra, Geometry, and Combinatorics. I mainly study the topology and combinatorics of hyperplane arrangements. I also study various problems concerning the topology and geometry of knots, links, and manifolds, and the homology and lower central series of discrete groups. In Fall, 2004 I was at MSRI, in Berkeley, CA, for a semester-long program on

78. Seminar Fall2000 topology / geometry. 1200100. RH 142. Bryan Clair. L2 - Invariants. Abstract Let X be a compact manifold or cell complex, and \tilde{X} be an infinite http://euler.slu.edu/Dept/oldseminars/seminar_fall2000.html

FALL 2000 DATE SEMINAR TIME ROOM SPEAKER TITLE Th Sep 7 topology / geometry RH 142 Bryan Clair L - Invariants Abstract Betti numbers, first considered by Atiyah in 1976. Like the ordinary Betti numbers of a compact space, the L Betti numbers are the dimension of a homology group. However, the homology groups coming from L -forms are infinite dimensional Hilbert spaces, so the machinery of von Neumann algebras is needed to provide a quantitative dimension. I will spend the first lecture on background material, and basic examples, with some older theorems and big conjectures thrown in for spice. Don't worry if you don't know anything about von Neumann algebras. I plan to talk about Gromov's result that the L Betti numbers vanish when X is aspherical and G is amenable. I'll prove Luck's theorem, which says that ordinary Betti numbers (renormalized) of a tower of covering spaces converge to the L Betti numbers of the limit covering. I will also discuss more refined L

79. JP Journal Of Geometry And Topology (Pushpa) Table of contents and abstracts from vol.1 (2001). http://www.pphmj.com/jpgtjournals.htm

80. Seminars-spring2001 topology / geometry. 210300. RH 211. Ray Freese. The geometry of Metric Spaces . Mon Mar 5. topology/ Analysis. 1100-1200. RH 218. Kevin Scannell http://euler.slu.edu/Dept/oldseminars/seminars-spring2001.html

Seminars: SPRING 2001 DATE SEMINAR TIME ROOM SPEAKER TITLE Wed Jan 31 Topology / Geometry RH 211 Kevin Scannell Bianchi Groups Fri Feb 2 Topology/ Analysis RH 320 Kevin Scannell Topological Groups acting on Hyperbolic Space Abstract : We will continue our study of topological groups as they act on hyperbolic groups. The text we are using is by Elstrodt, Grunewald and Mennicke and is published by Springer Verlag. Tues. Feb 6 Algebra RH 134 Julianne Rainbolt Images and extensions of periodic linear groups Wed. Feb 7 Topology / Geometry RH 211 Anneke Bart Reflective Subgroups of Bianchi Groups Fri Feb 9 Topology/ Analysis RH 320 Kevin Scannell Topological Groups acting on Hyperbolic Space Tues Feb 13 Algebra RH 134 Julianne Rainbolt Images and extensions of periodic linear groups Wed Feb 14 Topology / Geometry RH 211 Anneke Bart Reflective Subgroups of Bianchi Groups Fri Feb 16 Topology/ Analysis RH 218 Kevin Scannell Topological Groups acting on Hyperbolic Space Tue Feb 20 Math Club RH 223 Kevin Scannell The Topology of the Universe Fri Feb 23 Topology/ Analysis RH 218 Kevin Scannell Topological Groups acting on Hyperbolic Space Tues Feb 27 Algebra RH 134 Greg Marks Distributive Lattices within Groups, Rings, and Modules

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