| 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.
Regularity of solutions of Hamilton-Jacobi equation on a domain
Regularity for non-uniformly elliptic problems
Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)
Recent progress on the Brascamp-Lieb inequality and applications
Randomness of prime numbers
Random walks in spaces of negative curvature
Random matrices and operator algebras
Random conformal geometry of Coulomb gas formalism
Queer Lie Superalgebras
Quasi-homomorphisms into non-commutative groups
Quantum Dynamics in the Mean-Field and Semiclassical Regime
Quantitative residual non-vanishing of special values of various L-functions
Q-curvature in conformal geometry
Persistent Homology
Periodic orbits in symplectic geometry
Partial differential equations with applications to biology
One and Two dimensional Coulomb Systems
On the Schauder theory for elliptic PDEs
On the resolution of the Gibbs phenomenon
On the distributions of partition ranks and cranks
