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Abstracts and Talk Materials
Applied Algebraic Topology
June 15  26, 2009
Henry Adams (University of Minnesota Twin Cities)
http://www.ima.umn.edu/~henrya/
Topological data analysis: Understanding optical flow
June 22, 2009
Video(flv)
Slides part 1(pdf)
Slides part 2(pdf)
Henry Adams (University of Minnesota Twin Cities)
http://www.ima.umn.edu/~henrya/
Introduction to Jplex
June 17, 2009
Video(flv)
Lecture Notes(pdf)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Topology & data: The future"
June 26, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Mapper for mapping" mapper as an imager. Importance of mapping. Applications of homology to mapping
June 25, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Homology 1" intro to homology simplicial, cellular, cech, & more: simple applications
June 16, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Imaging data sets" linear regression, projection pursuit, multidimensional scaling as methods of imaging data sets
June 24, 2009
Video(flv)
imaeighthandout4up(pdf)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Spaces 1: complexes" cech, vrips, witnesses, alpha, etc. & uses in data
June 18, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Persistence and point clouds" Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, GrÃ¶bner bases
June 23, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
Introduction to homotopy limits and colimits
June 25, 2009
Video(flv)
HomotopyColimits(pdf)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Computing homology 2: practice" intro to algorithms/software; plex
June 17, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Visualizing data via homology" image statistics data, range patches, neuroscience
June 19, 2009
Video(flv)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Applied topology: motivations from data" pointset topology intro motivations from data, statistics, biology, etc.
June 15, 2009
imafourhandout4up(pdf)
imaonehandout4up(pdf)
Video(flv)
Handouts(zip)
lecture17(pdf)
lecture14(pdf)
lecture13(pdf)
imaeighthandout4up(pdf)
imafivehandout4up(pdf)
imathreehandout4up(pdf)
imatwohandout4up(pdf)
HomotopyColimits(pdf)
Gunnar Carlsson (Stanford University)
http://math.stanford.edu/~gunnar/
"Zigzags and statistics" bootstrap method, zigzag persistence, other applications of zigzag persistence
June 23, 2009
Video(flv)
Frederick R. Cohen (University of Rochester)
http://www.math.rochester.edu/people/faculty/cohf/
Naive counting with sensors
June 19, 2009
Video(flv)
Frederick R. Cohen (University of Rochester)
http://www.math.rochester.edu/people/faculty/cohf/
Gait states for a torus and a disk: "How to talk with robots"
June 18, 2009
Video(flv)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Homology 2" morse, morseconley, hodge & more: simple applications
June 16, 2009
Video(flv)
titlepage.pdf(pdf)
Lecture 4 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
Sensor networks and coverage
June 18, 2009
Video(flv)
Lecture 8 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Network coverage via homology" coverage in sensor networks
June 19, 2009
Lecture 10 slides(pdf)
Video(flv)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Applied topology: motivations from systems" euler characteristic intro motivations from networks, sensors, robotics, etc.
June 15, 2009
Video(flv)
lecture2 slides (pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Computing homology 1: theory" intro to exact sequences
June 17, 2009
Video(flv)
Lecture 5 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Sheaves and Euler integration" Euler integration and target enumeration
June 22, 2009
Video(flv)
Lecture 11 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Topological signal processing" target localization; integral transforms and euler calculus
June 22, 2009
Video(flv)
Lecture 12 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Consensus and distributed computation" not so sure about this one...
June 25, 2009
Video(flv)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Unimodal decompositions" lyusternikschnirelman category; unimodal category and modedecomposition in statistics; applications to coordinatefree data
June 24, 2009
Video(flv)
Lecture 16 slides(pdf)
Robert Ghrist (University of Pennsylvania)
http://www.math.upenn.edu/~ghrist/
"Topology & systems: The future"
June 26, 2009
Video(flv)
Volkan Isler (University of Minnesota, Twin Cities)
http://wwwusers.cs.umn.edu/~isler/
The role of information in pursuit evasion: Graph theoretic models
June 16, 2009
Video(flv)
William D. Kalies (Florida Atlantic University)
http://math.fau.edu/kalies
Verified homology of nodal domains
June 23, 2009
Slides(pdf)
Video(flv)
William D. Kalies (Florida Atlantic University)
http://math.fau.edu/kalies
Computational Conley theory
June 24, 2009
Slides(pdf)
Video(flv)
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