[permalink] [id link]
A conjecture developed by Cumrun Vafa, Amer Iqbal, and Andrew Neitzke in 2001, called " mysterious duality ", concerns a set of mathematical similarities between objects and laws describing M-theory on k-dimensional tori ( i. e. type II superstring theory on T < sup > k − 1 </ sup > for k > 0 ) on one side, and geometry of del Pezzo surfaces ( for example, the cubic surfaces ) on the other side.
from
Wikipedia
Some Related Sentences
conjecture and developed
The most celebrated single question in the field, the conjecture known as Fermat's Last Theorem, was solved by Andrew Wiles but using tools from algebraic geometry developed during the last century rather than within number theory where the conjecture was originally formulated.
Velasco's fourth turn in the presidency initiated a renewal of crisis, instability, and military domination and ended conjecture that the political system had matured or developed a democratic mold.
The Novikov self-consistency principle, also known as the Novikov self-consistency conjecture, is a principle developed by Russian physicist Igor Dmitriyevich Novikov in the mid-1980s to solve the problem of paradoxes in time travel, which is theoretically permitted in certain solutions of general relativity ( solutions containing what are known as closed timelike curves ).
He later developed a program to prove the geometrization conjecture by Ricci flow with surgery.
and his collaborators established the rationality conjecture, the functional equation and the link to Betti numbers by using the properties of étale cohomology, a new cohomology theory developed by Grothendieck and Artin for attacking the Weil conjectures, as outlined in.
One of the influential examples, both for the history of the more general L-functions and as a still-open research problem, is the conjecture developed by Bryan Birch and Peter Swinnerton-Dyer in the early part of the 1960s.
The influence of the Tamagawa number idea was felt in the theory of arithmetic of abelian varieties through its use in the statement of the Birch and Swinnerton-Dyer conjecture, and through the Tamagawa number conjecture developed by Spencer Bloch, Kazuya Kato and many other mathematicians.
It is named after mathematicians Bryan Birch and Peter Swinnerton-Dyer who developed the conjecture during the first half of the 1960s with the help of machine computation.
As a mathematician he is best known for his part in the Birch and Swinnerton-Dyer conjecture relating algebraic properties of elliptic curves to special values of L-functions, which was developed with Bryan Birch during the first half of the 1960s with the help of machine computation, and for his work on the Titan operating system.
All this, however, is speculation and conjecture because it is only recently that an interest has developed in the fossils of Mandla and detailed scientific studies are still wanting.
conjecture and by
One of the more dramatic successes of his theory was his prediction of the existence of secondary and tertiary alcohols, a conjecture that was soon confirmed by the synthesis of these substances.
* Crank conjecture, a term coined by Freeman Dyson to explain congruence patterns in integer partitions
He may have been married, a conjecture supported by his writings.
Whether this formula produces an infinite quantity of Carmichael numbers is an open question ( though it is implied by Dickson's conjecture ).
At the moment, it is not known how the material is produced or if it remains stable without applied pressure, however, there is conjecture that it is possible to produce a new stable state of matter by compressing ultracold deuterium in a Rydberg state.
Woudhuizen revived a conjecture to the effect that the Tyrsenians came from Anatolia, including Lydia, whence they were driven by the Cimmerians in the early Iron Age, 750 – 675 BC, leaving some colonists on Lemnos.
Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.
The conjecture was disproven by L. J. Lander and T. R. Parkin in 1966 when they found the following counterexample for k
This conjecture is also supported by other letters Galois later wrote to his friends the night before he died.
Another early published reference by in turn credits the conjecture to De Morgan.
This formula, the Heawood conjecture, was conjectured by P. J.
Beyond the Bible, considerable conjecture has been put forward over the centuries in the form of Christian and Rabbinic tradition, but such accounts are dismissed by modern scholars as speculative and apocryphal.
This conjecture, however, is discredited by the Oxford English Dictionary.
But Steinschneider will not admit the possibility of this conjecture, while Renan scarcely strengthens it by regarding " Andreas " as a possible northern corruption of " En Duran ," which, he says, may have been the Provençal surname of Anatoli, since Anatoli, in reality, was but the name of his great-grandfather.
If a definite statement is believed plausible by some mathematicians but has been neither proved nor disproved, it is called a conjecture, as opposed to an ultimate goal: a theorem that has been proved.
This conjecture seems to be confirmed in the introduction of the first volume of the chronicles of Gallus Anonymus concerning the Pomeranians: Although often the leaders of the forces defeated by the Polish duke sought salvation in baptism, as soon as they regained their strength, they repudiated the Christian faith and started the war against Christians anew.
He was awarded the Bôcher Memorial Prize in mathematical analysis in 1964 for his paper " On a conjecture by Littlewood and idempotent measures ", and lends his name to the Cohen-Hewitt factorization theorem.
After nearly a century of effort by mathematicians, Grigori Perelman presented a proof of the conjecture in three papers made available in 2002 and 2003 on arXiv.
An exposition of attempts to prove this conjecture can be found in the non-technical book Poincaré's Prize by George Szpiro.
In 1961 Stephen Smale shocked mathematicians by proving the Generalized Poincaré conjecture for dimensions greater than four and extended his techniques to prove the fundamental h-cobordism theorem.
In these papers he sketched a proof of the Poincaré conjecture and a more general conjecture, Thurston's geometrization conjecture, completing the Ricci flow program outlined earlier by Richard Hamilton.
conjecture and Andrew
Here he supervised the PhD of Andrew Wiles, and together they proved a partial case of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication.
As a result, prior to Andrew Wiles ' proof of Fermat's last theorem, the search for Wall – Sun – Sun primes was also the search for a potential counterexample to this centuries-old conjecture.
This hypothesis, known as Mertens conjecture, was disproved in 1985 by Andrew Odlyzko and Herman te Riele
Because the Möbius function only takes the values − 1, 0, and + 1, the Mertens function moves slowly and there is no n such that | M ( n )| > n. The Mertens conjecture went further, stating that there would be no n where the absolute value of the Mertens function exceeds the square root of n. The Mertens conjecture was proven false in 1985 by Andrew Odlyzko and Herman te Riele.
A book focusing on elliptic curves, beginning at an undergraduate level ( at least for those who have had a course on abstract algebra ), and progressing into much more advanced topics, even at the end touching on Andrew Wiles ' proof of the Taniyama – Shimura conjecture which led to the proof of Fermat's last theorem.
Andrew Odlyzko verified that is 1 for in 1993, but the conjecture remains an open problem.
There is conjecture that Diana, knowing of the existence of the tapes, instigated contact with the journalist Andrew Morton, resulting in the publication by Morton of the book Diana: Her True Story, and the start of the " War of the Waleses ".
This led to Karl Rubin's new proof of the main conjecture of Iwasawa theory, considered simpler than the original proof due to Barry Mazur and Andrew Wiles.
In 1986 Ribet proved that if the Taniyama – Shimura conjecture held, then so would Fermat's last theorem, which inspired Andrew Wiles to work for a number of years in secrecy on it, and to prove enough of it to prove Fermat's Last Theorem.
He is known, a. o., for proving the correctness of the Riemann hypothesis for the first 1. 5 billion non-trivial zeros of the Riemann zeta function, with Jan van de Lune and Dik Winter, for disproving the Mertens conjecture, with Andrew Odlyzko, and for factoring large numbers of world record size.
Beal's conjecture is a conjecture in number theory proposed by Andrew Beal in about 1993 ; a similar conjecture was suggested independently at about the same time by Andrew Granville.
0.970 seconds.