The figure of Sophia, admittedly, arouses more than a little suspicion among even Solovyov’s more indulgent Christian readers, and some would prefer to write her off as a figment of the young Solovyov’s dreamier moods, or as a sentimental souvenir of his youthful dalliance with the Gnostics. To his less indulgent readers, she is something rather more sinister. And indeed it is difficult to know what exactly to make of the two visions of Sophia that Solovyov had in 1875–the first in the British Museum, the second in the Egyptian desert–or the earlier vision he had at the age of nine. But it is important to note that, in Solovyov’s developed reflections upon this figure (and in those of his successor Sophiologists,’ Pavel Florensky and Sergei Bulgakov), she was most definitely not an occult, or pagan, or Gnostic goddess, nor was she a fugitive from some Chaldean mystery cult, nor was she a speculative perversion of the Christian doctrine of God. She was not a fourth hypostasis in the Godhead, nor a fallen fragment of God, nor a literal world-soul, nor an eternal hypostasis who became incarnate as the Mother of God, nor most certainly the ‘feminine aspect of deity.’ Solovyov possessed too refined a mind to fall prey to the lure of cultic mythologies or childish anthropomorphisms, despite his interest in Gnosticism (or at least in its special pathos); and all such characterizations of the figure of Sophia are the result of misreadings (though, one must grant, misreadings partly occasioned by the young Solovyov’s penchant for poetic hyperbole).From David Bentley Hart’s forward to Solovyov’s Justification of the Good.
In truth, the divine Sophia is first and foremost a biblical figure, and ‘Sophiology’ was born of an honest attempt to interpret intelligibly the role ascribed to her in the Wisdom literature of the Old Testament, in such a way as to complement the Logos Christology of the Fourth Gospel, while still not neglecting the ‘autonomy’ of creation within its very dependency upon the Logos. Solovyov’s Sophia stands in the interval between God and world, as an emblem of the nuptial mystery of Christ’s love for creation and creation’s longing for the Logos. Sophia is the divine Wisdom as residing in the non-divine; she is the mirror of the Logos and the light of the Spirit, reflecting in the created order the rational coherence and transcendent beauty in which all things live, move, and have their being. She is also, therefore, the deep and pervasive Wisdom of the world who, even as that world languishes in bondage to sin, longs to be joined to her maker in an eternal embrace, and arrays herself in every palpable glory and ornament to prepare for his coming, and by her loveliness manifests her insatiable yearning.
Another way of saying this is that Sophia is creation–and especially human creation–as God eternally intends, sees, loves, and possesses it. The world is created in the Logos and belongs to him, shines with the imperishable beauty of the Father made visible in him, and in the Logos nothing can be found wanting; thus one may say that he, in his transcendence, eternally possesses a world, and that the world, in its immanence, restlessly longs for him. And yet another way of saying this is that Sophia is humankind (which contains within itself all the lower orders of creation) as God eternally chooses it to be his body, the place of his indwelling, and in his eternity this humanity is perfect and sinless, while in our world it is something toward which all finite reality strives, as its eschatological horizon. One can thus speak of an eternal Christ: the Logos as forever turned toward a world, a world gathered to himself from before all the ages just as–in time–we see the world gathered to him in his incarnation. Here Solovyov is following a line of thought with quite respectable patristic pedigrees: seen thus, as the body of the Logos (the totus Christus in its eternal or eschatological aspect), Sophia is scarcely distinguishable from the eternal Anthropos of whom Gregory of Nyssa writes in On the Making of Humanity. She is not another hypostasis as such, but is the personal and responsive aspect of the concrete unity of a redeemed creation united to–and so “enhypostatized” by–Christ; or, looked at from below (so to speak), the ‘symphonic’ totality of created hypostases perfectly joined to Christ. She is thus indeed a kind of intelligence in the created order (analogous to the intelligence of the spiritual world of which Augustine speaks in The Confessions), and she is beauty, and order, and eros, but only insofar as she personifies the answer of creation to God’s call, the beloved’s response to the lover’s address; far from a kind of Romantic pantheism, what she represents is creation’s desire for God, its insufficiency in itself, its eternal vocation to be the vessel of his glory and the tabernacle of his indwelling presence. She is, in other words, a figure for the active longing of creation and for its accomplished rest; she is both passion and repose, ardent expectation and final peace. She is still God’s Wisdom, but as mirrored in the intricacy, life, unity, and splendor of created being, and in the unity and love the Church.
I’m not familiar with this controversial school of thought, but it evidently developed (in part) in response to a long iconographic tradition of depicting the Wisdom (Sophia) of God from Proverbs chapter 9 and elsewhere. Some images from this iconographic tradition below (with a little more info on the icons here and here).