filmov
tv
What is...braid group cryptography?
Показать описание
Goal.
Explaining basic concepts of geometric topology in an intuitive way.
This time.
What is...braid group cryptography? Or: Applications 2 (topology in cybersecurity).
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds.
Slides.
Website with exercises.
Thumbnail.
Pictures created with tikz
Geometric topology.
Concepts in geometric topology.
Applications of geometric topology.
The wild world of four manifolds.
History of topology.
Poincare conjecture and h-cobordism.
Braid groups and cryptography.
Pictures used.
Pictures created with tikz
Some books I am using (I sometimes steal some pictures from there).
KnotAtlas.
SnapPy.
Mathematica.
SageMath.
#geometrictopology
#topology
#mathematics
Explaining basic concepts of geometric topology in an intuitive way.
This time.
What is...braid group cryptography? Or: Applications 2 (topology in cybersecurity).
Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.
Disclaimer.
Geometric topology is usually the study of manifolds. This can mean manifold things ;-) So to be precise, this video series is mostly about knots, surfaces, three and four manifolds.
Slides.
Website with exercises.
Thumbnail.
Pictures created with tikz
Geometric topology.
Concepts in geometric topology.
Applications of geometric topology.
The wild world of four manifolds.
History of topology.
Poincare conjecture and h-cobordism.
Braid groups and cryptography.
Pictures used.
Pictures created with tikz
Some books I am using (I sometimes steal some pictures from there).
KnotAtlas.
SnapPy.
Mathematica.
SageMath.
#geometrictopology
#topology
#mathematics
0:14:24
What is...braid group cryptography?
0:05:29
Braid groups and configuration spaces
0:38:47
Annaliese Keiser: An Introduction to Configuration Spaces and Braid Groups
0:38:43
Maths of the 21st Century - Braid Based Cryptography
0:25:00
What are...Artin braid groups?
0:05:36
Behind the Math of Dance Your PhD, Part 1: The Braid Groups
0:10:28
What are...braided categories?
0:43:23
Algebraic Definition of Braids and the Braid Group
0:54:06
Joseph Grant | Braid groups: presentations and generalisations
0:19:08
596.2.1 B1 How are Braids and Braid-a-Grams (Permutations) Different?
0:17:43
6.01 Braid group
0:05:34
Math 370 - Braid Groups
0:56:48
Connections Between Braid Groups, Homotopy Theory, and Low Dimensional Topology - Fred Cohen
0:32:24
Funny braid groups (Jacob Mostovoy)
0:24:05
596.1.2 Braid vs Braid-a-Gram Wrapup
0:20:07
Edmund Heng, “Generalised braid groups, categorification and dynamics”
0:46:09
Representations of the Classical, Virtual, and Welded Braid Groups
0:01:40
Mathematics: Equivalent words in Braid groups (2 Solutions!!)
0:23:10
Iva Halacheva: Braid group actions, crystals, and cacti.
0:19:15
Group Theory 8 : Braid group(1)
0:42:47
The Burau Representation of the Braid Group 30/10/24
0:50:05
Symmetries, groups, and braids - Julia Plavnik
0:14:56
What is...group-based cryptography?
0:40:13
V. Bardakov - Virtual representation of the braid group of automorphisms and virtual links
Комментарии