Is Maya the same as Durga?
Yes and no. The engineer of the universe, Brahma, mentions Durga as Krishna’s illusory energy—Maya—in his collection of prayers to Krishna known as the Brahma-samhita. The commentary to Srimad-Bhagavatam, 11.2.48 discusses this:
“…the Brahma-samhita (5.44) says, sristhi-sthiti-pralaya-sadhana-shaktir eka chayeva yasya bhuvanani bibharti durga. Maya is like a shadow of the Supreme Personality of Godhead who serves Him in the creation, maintenance and annihilation of this world. Just as a shadow has no independent power of movement but follows the substance that casts the shadow, the illusory energy of the Lord has no independent power, but bewilders the living entities according to the Lord’s desire. One of Krishna’s opulences is that He is supremely detached; when a living entity wants to forget Him, Krishna immediately employs His illusory energy to facilitate the foolishness of the conditioned soul.”
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“This world” is of course the deluded mind, nothing else.