| Lecturer | Gunnar E. Carlsson |
|---|---|
| Dept. | Stanford University |
| date | Mar 26, 2014 |
One of the important problems in understanding large and complex data sets is how to provide useful representations of a data set. We will discuss some existing methods, as well as topological mapping methods which use simplicial complexes as the representation, with examples.
Idempotents and topologies
Recent progress on the Brascamp-Lieb inequality and applications
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
