Variety News

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FFT in O(n(log n)^(1−10⁻¹³)) (130)

Kaplansky counterexamples + non-sofic group (196/197)

Log abundance + Iitaka subadditivity + minimal models (034/033/036)

Rational Hodge conjecture for CM abelian varieties (032)

3D Fourier restriction + Bochner–Riesz (077/078)

Anderson localization/delocalization (261)

Hilbert's 16th problem, uniform bound on limit cycles (143)

BEC at positive temperature (267)

Stationary varifold singular sets (346)

Nearby Lagrangian conjecture disproved (340)

Hilbert's 10th problem over ℚ is undecidable (004)

Baum–Connes + Kadison–Kaplansky counterexamples (285)

Quasi-Riemann Hypothesis: no zeros of ζ or any Dirichlet L-function for Re(s) > 7/8

Unique Games Conjecture (102)

Critical percolation on ℤ³ (213)

4D disk embedding fails (305)

Hilbert–Smith (304)

Rokhlin multiple mixing (145)

Free group factors (287)

ω ≤ 9/4 over ℂ for matrix multiplication (107)

Integer multiplication in O(n (log n)^(1−2⁻¹⁸²)) (109)

Irrationality exponent of π is 2 (017)

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