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Extra Form
Lecturer Gunnar E. Carlsson
Dept. Stanford University
date Mar 25, 2014

Homology is a method for assigning signatures to geometric objects which reects the presence of various kinds of features, such as connected components, loops, spheres, surfaces, etc. within the object. Persistent homology is a methodology devised over the last 10-15 years which extend the methods of homology to samples from geometric objects, or point clouds. We will discuss homology in its idealized form, as well as persistent homology, with examples.

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Attachment '1'
  1. Idempotents and topologies

  2. Recent progress on the Brascamp-Lieb inequality and applications

  3. Existence of positive solutions for φ-Laplacian systems

  4. Riemann-Hilbert correspondence for irregular holonomic D-modules

  5. Normal form reduction for unconditional well-posedness of canonical dispersive equations

  6. Random conformal geometry of Coulomb gas formalism

  7. Categorification of Donaldson-Thomas invariants

  8. Noncommutative Surfaces

  9. The Shape of Data

  10. Topological Mapping of Point Cloud Data

  11. Structures on Persistence Barcodes and Generalized Persistence

  12. 27Mar
    by 김수현
    in Special Colloquia

    Persistent Homology

  13. Topological aspects in the theory of aperiodic solids and tiling spaces

  14. Subgroups of Mapping Class Groups

  15. Irreducible Plane Curve Singularities

  16. Analytic torsion and mirror symmetry

  17. Fefferman's program and Green functions in conformal geometry

  18. 최고과학기술인상수상 기념강연: On the wild world of 4-manifolds

  19. 정년퇴임 기념강연: Volume Conjecture

  20. Queer Lie Superalgebras

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