| 강연자 | 이지운 |
|---|---|
| 소속 | KAIST |
| date | 2011-05-19 |
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.
Topology of configuration spaces on graphs
Topology and number theory
Topological surgery through singularity in mean curvature flow
Topological aspects in the theory of aperiodic solids and tiling spaces
Theory and applications of partial differential equations
The significance of dimensions in mathematics
The Shape of Data
The process of mathematical modelling for complex and stochastic biological systems
The phase retrieval problem
The Mathematics of the Bose Gas and its Condensation
The Lagrange and Markov Spectra of Pythagorean triples
The classification of fusion categories and operator algebras
Symplectic topology and mirror symmetry of partial flag manifolds
Symplectic Geometry, Mirror symmetry and Holomorphic Curves
Symmetry Breaking in Quasi-1D Coulomb Systems
Sums of squares in quadratic number rings
Subword complexity, expansion of real numbers and irrationality exponents
Subgroups of Mapping Class Groups
Study stochastic biochemical systems via their underlying network structures
Structures of Formal Proofs
