Singularities of special Lagrangian fibrations and the SYZ Conjecture by Joyce, D

“…The SYZ Conjecture explains Mirror Symmetry between Calabi-Yau 3-folds $M$, $\hat{M}$ in terms of special Lagrangian fibrations $f : M \rightarrow B$ and $\hat{f} : \hat{M} \rightarrow B$ over the same base $B$, whose fibres are dual 3-tori, except for singular fibres. …”

Singularities of special Lagrangian fibrations and the SYZ Conjecture by Joyce, D

“…Finally we draw some conclusions on the SYZ Conjecture, which contradict some stronger statements of it.…”

Facets of the Fully Mixed Nash Equilibrium Conjecture by Feldmann, R, Mavronicolas, M, Pieris, A

Facets of the Fully Mixed Nash Equilibrium Conjecture by Feldmann, R, Mavronicolas, M, Pieris, A

The complexity of balanced presentations and the Andrews-Curtis conjecture by Bridson, M

On finiteness conjectures for endomorphism algebras of abelian surfaces by Bruin, N, Flynn, E, Gonzalez, J, Rotger, V

“…It is conjectured that there exist finitely many isomorphism classes of simple endomorphism algebras of abelian varieties of GL_2-type over \Q of bounded dimension. …”

Kac's conjecture from Nakajima quiver varieties by Hausel, T

“…In particular this implies that the constant term of the polynomial counting the number of absolutely indecomposable representations of a quiver equals the multiplicity of a a certain weight in the corresponding Kac-Moody algebra, which was conjectured by Kac in 1982.…”

A conjectural extension of Hecke’s converse theorem by Bettin, S, Bober, JW, Booker, AR, Conrey, B, Lee, M, Molteni, G, Oliver, TD, Platt, DJ, Steiner, RS

“…We formulate a precise conjecture that, if true, extends the converse theorem of Hecke without requiring hypotheses on twists by Dirichlet characters or an Euler product. …”

The uniform schanuel conjecture over the real numbers by Kirby, J, Zilber, B

“…We prove that Schanuel's conjecture for the reals is equivalent to a uniform version of itself. © 2006 London Mathematical Society.…”

Spigolature stesicoree II by Cipolla, Paolo

Subjects: “…Conjectures. Editing. Fragments. Stesichorus. Text…”
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DECONSTRUCTING GENDER CONJECTURES IN SOUTHEAST NIGERIA: BUILDING THE AFRICA WE WANT AND WOMEN ACCESS TO LAND by Amaka T.O. Emordi, Hope Ikedinma, Ginikach Emordi

Subjects: “…Gender-conjectures…”
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Ball Lightning as Plasma Vortexes: A Reinforcement of the Conjecture by Daniele Funaro

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A note on Lang's conjecture for quotients of bounded domains by Sébastien Boucksom, Simone Diverio

“…It was conjectured by Lang that a complex projective manifold is Kobayashi hyperbolic if and only if it is of general type together with all of its subvarieties. …”
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Testing the complexity conjecture in regular black holes geometry by H. El Moumni, K. Masmar

“…Motived by the new complexity conjecture [1] suggesting that the fastest computer in nature are the black holes. …”
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de Sitter swampland conjecture in string field inflation by J. Sadeghi, B. Pourhassan, S. Noori Gashti, İ. Sakallı, M. R. Alipour

“…Then, we challenge it by further refining de Sitter (dS) swampland conjecture (FRdSSC) monitoring. Therefore, we investigate some quantities, such as potential and Hubble parameters. …”
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Local irregularity conjecture for 2-multigraphs versus cacti by Igor Grzelec, Mariusz Woźniak

“…We show this conjecture for cacti. This class of graphs is important for the Local Irregularity Conjecture for 2-multigraphs and the Local Irregularity Conjecture which claims that every locally irregular colorable graph \(G\) satisfies \(\textrm{lir}(G)\leq 3\). …”
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Study of Graph Partitions Approach satisfies Vizing's Conjecture by Jameel Mohammad

“…This conjecture is still open . In this paper , we investigate following relations, if a graph H has a D-partition then it also has a K-partition, and if  H  has a K-partition , then Vizing's conjecture is satisfied for any graph G , after that, every cycle 12Cn , n≥3">  , has a K-partition. …”
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The long-COVID-19 in older adults: facts and conjectures by Tino Emanuele Poloni, Valentina Medici, Antonio Zito, Arenn Faye Carlos

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THE BREUIL–MÉZARD CONJECTURE FOR POTENTIALLY BARSOTTI–TATE REPRESENTATIONS by TOBY GEE, MARK KISIN

“…We then apply these results to the weight part of Serre’s conjecture, proving a variety of results including the Buzzard–Diamond–Jarvis conjecture.…”
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Nef cones of fiber products and an application to the cone conjecture by Cécile Gachet, Hsueh-Yung Lin, Long Wang

“…We prove the Kawamata–Morrison–Totaro cone conjecture for the nef cones of Schoen varieties, which generalizes the work by Grassi and Morrison.…”
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