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Applied Algebraic Topology
June 1526, 2009
Henry Adams
http://www.ima.umn.edu/~henrya/
Topological data analysis: Understanding optical flow
June 22, 2009
Henry Adams
http://www.ima.umn.edu/~henrya/
Introduction to Jplex
June 17, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Topology & data: The future"
June 26, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Mapper for mapping" mapper as an imager. Importance of mapping. Applications of homology to mapping
June 25, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Homology 1" intro to homology simplicial, cellular, cech, & more: simple applications
June 16, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Imaging data sets" linear regression, projection pursuit, multidimensional scaling as methods of imaging data sets
June 24, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Spaces 1: complexes" cech, vrips, witnesses, alpha, etc. & uses in data
June 18, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Persistence and point clouds" Functoriality, diagrams, difficulties in classifying diagrams, multidimensional persistence, GrÃ¶bner bases
June 23, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
Introduction to homotopy limits and colimits
June 25, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Computing homology 2: practice" intro to algorithms/software; plex
June 17, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Visualizing data via homology" image statistics data, range patches, neuroscience
June 19, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Applied topology: motivations from data" pointset topology intro motivations from data, statistics, biology, etc.
June 15, 2009
Gunnar Carlsson
http://math.stanford.edu/~gunnar/
"Zigzags and statistics" bootstrap method, zigzag persistence, other applications of zigzag persistence
June 23, 2009
Frederick R. Cohen
http://www.math.rochester.edu/people/faculty/cohf/
Naive counting with sensors
June 19, 2009
Frederick R. Cohen
http://www.math.rochester.edu/people/faculty/cohf/
Gait states for a torus and a disk: "How to talk with robots"
June 18, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Homology 2" morse, morseconley, hodge & more: simple applications
June 16, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
Sensor networks and coverage
June 18, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Network coverage via homology" coverage in sensor networks
June 19, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Applied topology: motivations from systems" euler characteristic intro motivations from networks, sensors, robotics, etc.
June 15, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Computing homology 1: theory" intro to exact sequences
June 17, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Sheaves and Euler integration" Euler integration and target enumeration
June 22, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Topological signal processing" target localization; integral transforms and euler calculus
June 22, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Consensus and distributed computation" not so sure about this one...
June 25, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Unimodal decompositions" lyusternikschnirelman category; unimodal category and modedecomposition in statistics; applications to coordinatefree data
June 24, 2009
Robert Ghrist
http://www.math.upenn.edu/~ghrist/
"Topology & systems: The future"
June 26, 2009
Volkan Isler
http://wwwusers.cs.umn.edu/~isler/
The role of information in pursuit evasion: Graph theoretic models
June 16, 2009
William D. Kalies
http://math.fau.edu/kalies
Verified homology of nodal domains
June 23, 2009
William D. Kalies
http://math.fau.edu/kalies
Computational Conley theory
June 24, 2009
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