The Burau representation of the braid group is faithful for n = 4
1–10 of 19 posts
Re: The Burau representation of the braid group is faithful for n = 4
#2Also https://www.yahoo.com/news/science/articles/99-old-mathemati.... Someone who has been at this problem for 60 years.
Re: The Burau representation of the braid group is faithful for n = 4
#3Also https://www.yahoo.com/news/science/articles/99-old-mathemati... . Someone who has been at this problem for 60 years.
She has a wikipedia page: https://en.wikipedia.org/wiki/Joan_Birman
Re: The Burau representation of the braid group is faithful for n = 4
#4Birman still dropping bangers at 100 is quite something. We knew 3 strands is faithful and it was assumed 4 must be true but the ramifications of this in the face of quantum computing will be really fun going forward.
Re: The Burau representation of the braid group is faithful for n = 4
#5Birman still dropping bangers at 100 is quite something. We knew 3 strands is faithful and it was assumed 4 must be true but the ramifications of this in the face of quantum computing will be really fun going forward.
99, according to Wikipedia, but yeah
Re: The Burau representation of the braid group is faithful for n = 4
#6Also https://www.yahoo.com/news/science/articles/99-old-mathemati... . Someone who has been at this problem for 60 years.
She has a wikipedia page: https://en.wikipedia.org/wiki/Joan_Birman
Nice! Her experience getting a "bionic ear" at age 80 was very interesting:
https://www.math.columbia.edu/~jb/my-bionic-ear.pdf
Re: The Burau representation of the braid group is faithful for n = 4
#7Interestingly, David Graeber argued that mathematical thinking likely began through initiatives of women. Specifically tied to practices like weaving, beadwork, and tracking plant-based knowledge.
https://theanarchistlibrary.org/library/david-graeber-and-da...
Re: The Burau representation of the braid group is faithful for n = 4
#8Birman still dropping bangers at 100 is quite something. We knew 3 strands is faithful and it was assumed 4 must be true but the ramifications of this in the face of quantum computing will be really fun going forward.
What are the ramifications?
Re: The Burau representation of the braid group is faithful for n = 4
#9Interestingly, David Graeber argued that mathematical thinking likely began through initiatives of women. Specifically tied to practices like weaving, beadwork, and tracking plant-based knowledge. https://theanarchistlibrary.org/library/david-graeber-and-da...
not necessarily disputing any of his conclusions, but I find his style of argument frustratingly slippery, always generalizing broadly from weak evidence
Re: The Burau representation of the braid group is faithful for n = 4
#10Interestingly, David Graeber argued that mathematical thinking likely began through initiatives of women. Specifically tied to practices like weaving, beadwork, and tracking plant-based knowledge. https://theanarchistlibrary.org/library/david-graeber-and-da...