| Lecturer | 김상현 |
|---|---|
| Dept. | 서울대학교 |
| date | Mar 13, 2014 |
The mapping class group of a surface S is the component group of orientation-preserving homeomorphisms on S. We survey geometric and algebraic aspects of this group, and introduce a technique of using right-angled Artin groups to find geometrically significant subgroups of this group. We briefly discuss related groups such as braid groups and area-preserving diffeomorphism groups of surfaces.
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
