In
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
, the Atiyah conjecture on configurations is a
conjecture
In mathematics, a conjecture is a conclusion or a proposition that is proffered on a tentative basis without proof. Some conjectures, such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (a conjecture until proven in 19 ...
introduced by stating that a certain
''n'' by ''n'' matrix
Matrix most commonly refers to:
* ''The Matrix'' (franchise), an American media franchise
** ''The Matrix'', a 1999 science-fiction action film
** "The Matrix", a fictional setting, a virtual reality environment, within ''The Matrix'' (franchis ...
depending on ''n'' points in R
3 is always
non-singular
In the mathematical field of algebraic geometry, a singular point of an algebraic variety is a point that is 'special' (so, singular), in the geometric sense that at this point the tangent space at the variety may not be regularly defined. In ca ...
.
See also
*
Berry–Robbins problem
In mathematics, the Berry–Robbins problem asks whether there is a continuous map from configurations of ''n'' points in R3 to the flag manifold ''U''(''n'')/''T'n'' that is compatible with the action of the symmetric group on ''n'' points. It ...
References
*
*
{{Portal bar, Mathematics
Conjectures
Unsolved problems in geometry