Jesus, and before him Daniel, prophesied concerning an abomination that causes desolation. In the holy place, in the Temple, something was set up and worshiped besides God -- therefore, the presence of God left the Temple. Desolation.
Years ago someone pointed out to me that Jesus announced "This house is left to you desolate, for you will not see *me* again ..." (Matthew 23:38-39) the last time he left the Temple before his crucifixion. He equates the Temple being desolate with leaving it himself; interesting, as far as understanding his identity. In the next conversation, he speaks of the abomination that causes desolation and the destruction of the Temple. One obvious fulfillment was during the invasion in 70 A.D., when sacrifices were offered in the Temple to a pagan idol rather than to the only God.
But Daniel's prophecy seems to keep fulfilling itself. I think whenever we worship something besides God, that's the abomination, and desolation is sure to follow. It tends to happen in the holy places -- where somehow, something goes badly wrong when people try to control a religion which was never ours to control in the first place. Jesus had spent the majority of Matthew 23 talking about abuses of religion at the hands of religious leaders. It had come to the point where the leaders of the holy people did not recognize that they themselves were a key part of the destruction. This pattern has repeated itself throughout history: the holy place which ought to be kept pure is instead the center of corruption. It even becomes the center of enmity towards God. Then there is no more holy place. God walks out and does not look back except to field questions about when, how, and why this place must be destroyed.
When there is no more holy place, where do you look for God? Following Jesus' movements the last few days of his earthly life, when God leaves the holy place he goes to the accursed place. If his people cannot come to him, he will go to them. If there is no more holy place, then he will hallow every place, even a supposedly condemned and accursed place like the hill where the executions take place. And so even the desolation of the Temple is turned for our good; now all places harbor the presence of God. Especially the accursed ones. There is no darkness so deep that he is not deeper still.