### Some articles on *conjectures, conjecture*:

Arthur

... In mathematics, the Arthur

**Conjectures**... In mathematics, the Arthur

**conjectures**are some**conjectures**about automorphic representations of reductive groups over the adeles and unitary representations of reductive groups over local fields made by James ... Arthur's**conjectures**imply the generalized Ramanujan**conjectures**for cusp forms on general linear groups ...Timeline Of Number Theory - 18th Century

... 1742 - Christian Goldbach

... 1742 - Christian Goldbach

**conjectures**that every even number greater than two can be expressed as the sum of two primes, now known as Goldbach's**conjecture**... In the same year, Edward Waring**conjectures**Waring's problem, that for any positive integer k, every positive integer is the sum of a fixed number of kth powers. 1796 - Adrien-Marie Legendre**conjectures**the prime number theorem ...Cristian Dumitru Popescu

... He formulated and proved function-field versions of the Gras

... He formulated and proved function-field versions of the Gras

**conjectures**and Rubin's integral refinement of the abelian Stark**conjectures**... He has also made important contributions to the Stark**conjectures**over number fields, formulating an alternative to Rubin's refinement, known as Popescu's**conjecture**... Although slightly weaker than Rubin's**conjecture**, it has the advantage that it can presently be shown to remain true under raising the base field or ...Alexander Beilinson - Work

... announced a proof of the Kazhdan–Lusztig

... announced a proof of the Kazhdan–Lusztig

**conjectures**and Jantzen**conjectures**with Joseph Bernstein ... a proof of the Kazhdan–Lusztig**conjectures**... These**conjectures**have since been dubbed the Beilinson-Soulé**conjectures**they are intertwined with Vladimir Voevodsky's program to develop a homotopy theory for schemes ...Michael J. Hopkins - Work - The Ravenel

... For more details on this topic, see Ravenel

**Conjectures**... For more details on this topic, see Ravenel

**conjectures**... The Ravenel**conjectures**very roughly say complex cobordism (and its variants) see more in the stable homotopy category than you might think ... For example, the nilpotence**conjecture**states that some suspension of some iteration of a map between finite CW-complexes is null-homotopic iff it is zero in complex cobordism ...### Famous quotes containing the word conjectures:

“After all, it is putting a very high price on one’s *conjectures* to have a man roasted alive because of them.”

—Michel de Montaigne (1533–1592)

“Our *conjectures* pass upon us for truths; we will know what we do not know, and often, what we cannot know: so mortifying to our pride is the base suspicion of ignorance.”

—Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

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