| Lecturer | 이지운 |
|---|---|
| Dept. | KAIST |
| date | May 19, 2011 |
Since Bose and Einstein discovered the condensation of Bose gas, which we now call Bose-Einstein condensation, its mathematical properties have been of great importance for mathematical physics. Recently, many rigorous results have been obtained, mostly about its ground state energy and its dynamics in various models. In this talk, mathematical frameworks to study Bose gas will be introduced. Heuristics arguments and proofs to understand the properties of Bose gas will also be explained.
Symplectic topology and mirror symmetry of partial flag manifolds
The classification of fusion categories and operator algebras
The Lagrange and Markov Spectra of Pythagorean triples
The Mathematics of the Bose Gas and its Condensation
The phase retrieval problem
The process of mathematical modelling for complex and stochastic biological systems
The Shape of Data
The significance of dimensions in mathematics
Theory and applications of partial differential equations
Topological aspects in the theory of aperiodic solids and tiling spaces
Topological Mapping of Point Cloud Data
Topological surgery through singularity in mean curvature flow
Topology and number theory
Topology of configuration spaces on graphs
Toward bridging a connection between machine learning and applied mathematics
Towards Trustworthy Scientific Machine Learning: Theory, Algorithms, and Applications
Trends to equilibrium in collisional rarefied gas theory
Unique ergodicity for foliations
Universality of log-correlated fields
Unprojection
