Algebraic topology and its applications are very important. We are learning a little about it in our mathematical physics reading group (Baez: Gauge Fields, Knots and Gravity). When I was an undergraduate at Berkeley I worked in the Math Library and consequently had a good deal of contact with the graduate students. The most attractive area to most of them was algebraic topology and they were great admirers of E. H. Spanier who was working on a textbook in the area. That book has been available for a long time now.
I am glad to know the field has applications in neural networks, which I didn’t know.
Frank
Frank C. Wimberly
140 Calle Ojo Feliz
Santa Fe, NM 87505
[hidden email] [hidden email]
Phone: (505) 995-8715 Cell: (505) 670-9918
From: Friam [mailto:[hidden email]] On Behalf Of Owen Densmore
Sent: Saturday, July 01, 2017 10:10 AM
To: The Friday Morning Applied Complexity Coffee Group
Subject: Re: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?
Frank: what did you think about the algebraic topology bit?
This week, the Blue Brain Project proposed a fascinating idea that may explain the complexities of the human brain. Using algebraic topology, a type of mathematics that “projects” complex connections into graphs, they mapped out a path for complex functions to emerge from the structure of neural networks.
And get this: while the brain physically inhabits our three-dimensional world, its inner connections—mathematically speaking—operate on a much higher dimensional space. In human speak: the assembly and disassembly of neural connections are massively complex, more so than expected. But now we may have a language to describe them.
On Sat, Jun 24, 2017 at 7:37 PM, Vladimyr <[hidden email]> wrote:
Tom Johnson;
Thank- you
I felt dumbstruck when I finished reading…
That only reassured me.
Awesome is this news, in the original sense, like a kick to the head.
.vladimyr
From: Friam [mailto:[hidden email]] On Behalf Of Tom Johnson
Sent: June-24-17 1:01 PM
To: Friam@redfish. com
Subject: [FRIAM] More food for thought: Is There a Multidimensional Mathematical World Hidden in the Brain’s Computation?
============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
to unsubscribe http://redfish.com/mailman/listinfo/friam_redfish.com
FRIAM-COMIC http://friam-comic.blogspot.com/ by Dr. Strangelove
============================================================
FRIAM Applied Complexity Group listserv
Meets Fridays 9a-11:30 at cafe at St. John's College
to unsubscribe
http://redfish.com/mailman/listinfo/friam_redfish.comFRIAM-COMIC
http://friam-comic.blogspot.com/ by Dr. Strangelove
Locked
