| Lecturer | Gunnar E. Carlsson |
|---|---|
| Dept. | Stanford University |
| date | Mar 25, 2014 |
Homology is a method for assigning signatures to geometric objects which re ects 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.
A New Approach to Discrete Logarithm with Auxiliary Inputs
A wrapped Fukaya category of knot complement and hyperbolic knot
Algebraic surfaces with minimal topological invariants
Combinatorics and Hodge theory
Contact topology and the three-body problem
Harmonic bundles and Toda lattices with opposite sign
Irreducible Plane Curve Singularities
Mathematical Analysis Models and Siumlations
Persistent Homology
Queer Lie Superalgebras
Regularity of solutions of Hamilton-Jacobi equation on a domain
Regularization by noise in nonlinear evolution equations
Structures on Persistence Barcodes and Generalized Persistence
Topological Mapping of Point Cloud Data
What is Weak KAM Theory?
최고과학기술인상수상 기념강연: On the wild world of 4-manifolds
허준이 교수 호암상 수상 기념 강연 (Lorentzian Polynomials)
