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Extra Form
강연자 Gunnar E. Carlsson
소속 Stanford University
date 2014-03-25

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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첨부 '1'
  1. Combinatorics and Hodge theory

  2. 허준이 교수 호암상 수상 기념 강연 (Lorentzian Polynomials)

  3. Algebraic surfaces with minimal topological invariants

  4. A wrapped Fukaya category of knot complement and hyperbolic knot

  5. Regularity of solutions of Hamilton-Jacobi equation on a domain

  6. What is Weak KAM Theory?

  7. Topological Mapping of Point Cloud Data

  8. Structures on Persistence Barcodes and Generalized Persistence

  9. 27Mar
    by 김수현
    in 특별강연

    Persistent Homology

  10. Irreducible Plane Curve Singularities

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

  12. Queer Lie Superalgebras

  13. Regularization by noise in nonlinear evolution equations

  14. A New Approach to Discrete Logarithm with Auxiliary Inputs

  15. Contact topology and the three-body problem

  16. Harmonic bundles and Toda lattices with opposite sign

  17. Mathematical Analysis Models and Siumlations

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