| 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.
Existence of positive solutions for φ-Laplacian systems
Riemann-Hilbert correspondence for irregular holonomic D-modules
Normal form reduction for unconditional well-posedness of canonical dispersive equations
Random conformal geometry of Coulomb gas formalism
Categorification of Donaldson-Thomas invariants
Noncommutative Surfaces
The Shape of Data
Topological Mapping of Point Cloud Data
Structures on Persistence Barcodes and Generalized Persistence
Persistent Homology
Topological aspects in the theory of aperiodic solids and tiling spaces
Subgroups of Mapping Class Groups
Irreducible Plane Curve Singularities
Analytic torsion and mirror symmetry
Fefferman's program and Green functions in conformal geometry
최고과학기술인상수상 기념강연: On the wild world of 4-manifolds
정년퇴임 기념강연: Volume Conjecture
Queer Lie Superalgebras
Regularization by noise in nonlinear evolution equations
A New Approach to Discrete Logarithm with Auxiliary Inputs
