Equidistribution of CM-points on quaternion Shimura varieties

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The André-Oort conjecture (2012, unknown): “There are some recent conditional results for Hilbert modular varieties due to Zhang (see [41]).”
O-minimality and the André-Oort conjecture for $\mathbb{C}^{n}$ (2011, result): “1* is affirmed in [33] for Hilbert modular surfaces, in [34] for products of modular curves, and these results are further strengthened and generalized in [35, 96, 46], see also Zhang [99].”
Reflection Principles and Bounds for Class Group Torsion (2007, unknown): “It is suggested in [1, Section 3]; it is explicitly conjectured in [2], and also is implied by a still stronger conjecture enunciated in [6, Conjecture 1.”
Twisted L-Functions Over Number Fields and Hilbert’s Eleventh Problem (2009, methodology): “Another application of Theorem 1 can be found in [Coh, Theorem 1.2] and [ Zh , Theorem 3.2] (cf.”
Distribution of periodic torus orbits and Duke's theorem for cubic fields (2007, background): “iec [13], Cogdell–PiatetskiShapiro–Sarnak [9], and the fourth-named author [46] (for the pertinent subconvexity bounds). (3) Waldspurger [48] (see also [28]), Clozel–Ullmo [8], Popa [38], S.-W. Zhang [51] and P. Cohen [10]. It conceals a uniﬁed statement of a large number of “instances” of that theo”