| 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.
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
Categorification of Donaldson-Thomas invariants
Noncommutative Surfaces
The Shape of Data
Topological aspects in the theory of aperiodic solids and tiling spaces
Subgroups of Mapping Class Groups
Analytic torsion and mirror symmetry
Fefferman's program and Green functions in conformal geometry
정년퇴임 기념강연: Volume Conjecture
Connes's Embedding Conjecture and its equivalent
Connectedness of a zero-level set as a geometric estimate for parabolic PDEs
Combinatorial Laplacians on Acyclic Complexes
학부생을 위한 ε 강연회: Mathematics from the theory of entanglement
