| 강연자 | 박종국 |
|---|---|
| 소속 | 포항공과대학교 |
| date | 2014-10-23 |
We will talk about the Fourier restriction theorems for non-degenerate and degenerate curves in Euclidean space Rd. This problem was first studied by E. M. Stein and C. Fefferman for the circle and sphere, and it still remains an unsolved problem for the sphere in dimension larger than 2. Our problem is an analogous problem for curves. We will also mention an extension of such results to some complex curves in R2d. These are 2-dimensional surfaces defined by certain complex functions.
The classification of fusion categories and operator algebras
Green’s function for initial-boundary value problem
Mechanization of proof: from 4-Color theorem to compiler verification
On the distributions of partition ranks and cranks
Q-curvature in conformal geometry
Zeros of the derivatives of the Riemann zeta function
Geometry, algebra and computation in moduli theory
Gromov-Witten-Floer theory and Lagrangian intersections in symplectic topology
High dimensional nonlinear dynamics
What is model theory?
Essential dimension of simple algebras
Restriction theorems for real and complex curves
Recommendation system and matrix completion: SVD and its applications (학부생을 위한 강연)
Deformation spaces of Kleinian groups and beyond
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
