Log24

Wednesday, November 22, 2017

The Prize

Filed under: Uncategorized — m759 @ 2:45 PM

Bernd Sturmfels to Receive 2018
George David Birkhoff Prize in Applied Mathematics
 

— American Mathematical Society on
     Monday, November 20th, 2017

See also Sturmfels and Birkhoff + Geometry in this  journal.

Wednesday, March 29, 2017

Art Space, Continued

Filed under: Uncategorized — Tags: , — m759 @ 4:35 AM

"And as the characters in the meme twitch into the abyss
that is the sky, this meme will disappear into whatever
internet abyss swallowed MySpace."

—Staff writer Kamila Czachorowski, Harvard Crimson  today

From Log24 posts tagged Art Space

From a recent paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader, and
Bernd Sturmfels —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Wednesday, June 15, 2016

Rubik’s Deathtrap

Filed under: Uncategorized — Tags: — m759 @ 7:20 PM

The previous post suggests a search in this journal
for "Deathtrap."

"Rubik’s Cube® used by permission
Rubik’s Brand Ltd. www.rubiks.com."

— Bernd Sturmfels, June-July 2016 Notices
of the American Mathematical Society
,
Volume 63, Number 6, page 605

"Tenser, said the Tensor …." — The Demolished Man
 

Max von Sydow in Branded  (2012)

Expanding the Spielraum …

Filed under: Uncategorized — Tags: — m759 @ 2:40 PM

Continues

Rubik cube in the heading of the homepage of the Notices of the American Mathematical Society

"My AMS invited address at the SIAM Annual Meeting July 11–15
in Boston discusses the extension of eigenvectors and singular
vectors from matrices to higher order tensors."

Bernd Sturmfels in the June-July 2016 AMS Notices

See also Sturmfels in this  journal — for instance, in
"Expanding the Spielraum," a post of Feb. 3, 2015 —

Tuesday, February 3, 2015

Expanding the Spielraum

Filed under: Uncategorized — Tags: , — m759 @ 11:00 AM

A short poem by several authors:

"The role of
the 16 singular points
on the Kummer surface
is now played by
the 64 singular points
on the Kummer threefold."

— From Remark 2.4 on page 9 of
"The Universal Kummer Threefold,"
by Qingchun Ren, Steven V Sam,
Gus Schrader, and Bernd Sturmfels,
http://arxiv.org/abs/1208.1229v3,
August 6, 2012 — June 12, 2013.

See also "Expanded Field" in this journal.

IMAGE- Concepts of Space

Illustration from "Sunday School," July 20, 2014.

Other Log24 background:  Kummer, Spielraum, Art Space.

Sunday, March 9, 2014

Hesse’s Table

Filed under: Uncategorized — Tags: , — m759 @ 9:00 PM

From “Quartic Curves and Their Bitangents,” by
Daniel Plaumann, Bernd Sturmfels, and Cynthia Vinzant,
arXiv:1008.4104v2  [math.AG] 10 Jan 2011 —

The table mentioned (from 1855) is…

Exercise: Discuss the relationship, if any, to
the Miracle Octad Generator of R. T. Curtis.

Friday, March 7, 2014

Kummer Varieties

Filed under: Uncategorized — Tags: , — m759 @ 11:20 AM

The Dream of the Expanded Field continues

Image-- The Dream of the Expanded Field

From Klein’s 1893 Lectures on Mathematics —

The varieties introduced by Wirtinger may be called Kummer varieties….”
E. Spanier, 1956

From this journal on March 10, 2013 —

From a recent paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader, and Bernd Sturmfels —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Update of 10 PM ET March 7, 2014 —

The following slides by one of the “Kummer Threefold” authors give
some background related to the above 64-point vector space and
to the Weyl group of type E7(E7):

The Cayley reference is to “Algorithm for the characteristics of the
triple ϑ-functions,” Journal für die Reine und Angewandte
Mathematik  87 (1879): 165-169. <http://eudml.org/doc/148412>.
To read this in the context of Cayley’s other work, see pp. 441-445
of Volume 10 of his Collected Mathematical Papers .

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