Log24

Wednesday, November 20, 2013

Twelfth Step

Filed under: General — Tags: — m759 @ 7:59 am

To commemorate a death on November 12th—

Santeria at Pomona.

See also  November 12th in this journal
as well as The Columbia Record Club.

Blackboard Jungle

Filed under: General — Tags: — m759 @ 6:29 am

(Continued)

This morning's previous post concluded with
a 1938 tune for entertainer Edward Frenkel.

A more up-to-date musical offering:

Quad Rants

Filed under: General — Tags: , — m759 @ 6:00 am

IMAGE- 'Development of Mathematics in the Nineteenth Century,' by Felix Klein

"… the message is clear on what is the main
accomplishment of 19th [century] mathematics:
complex function theory, comprising almost half
the book. The heart and soul of this theory is the
theory of elliptic functions and its generalisations
(abelian functions, elliptic modular functions,
automorphic functions)."

Viktor Blasjo, Feb. 27, 2006:

Tune for an entertainer —

Tuesday, November 19, 2013

Quad*

Filed under: General,Geometry — Tags: , , — m759 @ 6:29 am

IMAGE- The Klein Four-Group, 'Vierergruppe': the group's four elements in four colors. Blue, red, green arrows represent pairs of transpositions, and the four black points, viewed as stationary, represent the identity.

* Update of 8 PM Nov. 19:
   The title refers to a work by Beckett.
  "There is nothing outside itself that Quad
   might be about." — Sue Wilson.
   The Klein group is not so limited.

Monday, November 18, 2013

Star Quality

Filed under: General — Tags: — m759 @ 10:00 pm

Continued from  July 13, 2008.

Happy birthday,  Peta Wilson.

Teleportation Web?

Filed under: General,Geometry — Tags: , , — m759 @ 8:45 pm

"In this book, I will describe one of the biggest ideas
to come out of mathematics in the last fifty years:
the Langlands Program, considered by many as
the Grand Unified Theory of mathematics. It’s a
fascinating theory that weaves a web of tantalizing
connections between mathematical fields that
at first glance seem to be light years apart:
algebra, geometry, number theory, analysis
,
and quantum physics. If we think of those fields as
continents in the hidden world of mathematics, then
the Langlands Program is the ultimate teleportation
device, capable of getting us instantly from one of
them to another, and back."

— Edward Frenkel, excerpt from his new book
     in today's online New York Times  

The four areas of pure mathematics that Frenkel
names do not, of course, seem to be "light years
apart" to those familiar with the development of
mathematics in the nineteenth century.

Related material:  Sunday morning's post.

The Four-Gated Song

Filed under: General,Geometry — Tags: , , — m759 @ 9:29 am

In the spirit of Beckett:

"Bobbies on bicycles two by two…" — Roger Miller, 1965

The Literary Field

A mathematics weblog in Australia today—

Clearly, the full symmetric group contains elements
with no regular cycles, but what about other groups?  
Siemons and Zalesskii showed that for any group 
G 
between PSL(n,q) and PGL(n,q) other than for
(n,q)=(2,2) or (2,3), then in any action of 
G, every
element of 
 has a  regular cycle, except G=PSL(4,2)
acting on  8 points.  The exceptions are due to
isomorphisms with the symmetric or alternating groups. 

The Date*

Filed under: General — Tags: — m759 @ 8:08 am

September 7th, 2009

In memory of William Weaver,
translator of Foucault's Pendulum
and of Nobel winner Doris Lessing,
author of The Four-Gated City ,
a song. (Note the upload date.)

* Continued from August 8th, 2013

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