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Special Lagrangian fibrations, wall-crossing, and reflect symmetry (Denis Auroux)
Sphere theorems in geometry (Simon Brendle and Richard Schoen)
Geometric Langlands and non-Abelian Hodge concept (Ron Donagi and Tony Pantev)
Developments round optimistic sectional curvature (Karsten Grove)
Einstein metrics, four-manifolds, and conformally Kähler geometry (Claude LeBrun)
Existence of Faddeev knots (Fengbo grasp, Fanghua Lin, and Yisong Yang)
Milnor K2 and box homomorphisms (Fedor Bogomolov and Yuri Tschinkel)
Arakelov inequalities (Eckart Viehweg)
A survey of Calabi-Yau manifolds (Shing-Tung Yau)

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