Topology
There have been 1 completed talk and 7 topic suggestions tagged with topology.
Related Tags
- geometric topology
- homology
- algebraic topology
- geometry
- analysis
- metric space
- philosophy
- multivariate calculus
Completed Talks
Simplicial Homology
Delivered by Kai Rüsch on Friday November 11, 2016
How do we count how many holes a shape has? We can answer this question using homology groups, whose order's count the number of $n$-dimensional holes.
A summary of this talk is available here.
Talk Suggestions
Constructive Mathematics
Constructive mathematics, or mathematics without the law of the excluded middle, is becoming more popular thanks to connections with computer science, category theory, and topology. Its logical foundations may be initially difficult to grasp for those used to a classical system.
Possible reference materials for this topic include
Quick links: Google search, arXiv.org search, propose to present a talk
computability computer science constructive mathematics logic philosophy topology type theory
Iterated function systems
Aesthetically appealing fractal art can be created through interesting mathematical processes, including contraction mappings on metric spaces. Several well known fractals can be formalized mathematically and also appreciated visually. A talk on this subject would explore both mathematical and artistic aspects.
Possible reference materials for this topic include
Quick links: Google search, arXiv.org search, propose to present a talk
analysis art fractal metric space topology
Low Dimensional Geometry
Possible reference materials for this topic include
Quick links: Google search, arXiv.org search, propose to present a talk
geometric topology geometry multivariate calculus topology
Penrose Tilings
Possible reference materials for this topic include
Quick links: Google search, arXiv.org search, propose to present a talk
geometric topology geometry topology
Rational Tangles and Conway's Theorem
Possible reference materials for this topic include
C. C. Adams : The Knot Book: An elementary introduction to the mathematical theory of knots
Quick links: Google search, arXiv.org search, propose to present a talk
geometric topology knot theory topology
The Jordan Curve Theorem
Quick links: Google search, arXiv.org search, propose to present a talk
algebra algebraic topology geometric topology homology topology
The Winding Number
Quick links: Google search, arXiv.org search, propose to present a talk
algebra algebraic topology analysis differential geometry geometric topology geometry topology