How does the MET gene work and what happens when the promoter region gets mutated?
HGF is the ligand for Met, which is a membrane receptor involved in multiple transduction pathways. Gene ID 4233 we're looking at a single gene product for MET. 

If we're just reading through the wikipedia page for c-Met, when HGF binds to Met, it activates the tyrosine kinase activity of Met. Met recruits Gab1, and this complex mediates interactions with Ras, P13K, ß-catenin.. not just pathways associated w/ Autism, but also associated with invasive growth cancers. An interesting note about the C allele, it's associated with decreased Met transcription. Quoting a recent article,


  The present morphological and functional studies have revealed a highly novel mechanism conferred by MET receptor signaling, which we show serves a pleiotrophic role in controlling both neuronal and spine morphology, and the time course of glutamatergic synapse maturation on CA1 hippocampal neurons. Such findings are consistent with the possibility that mistimed maturation of glutamatergic synapses underlie aberrant function of neural circuits that are enriched in MET during development.


Source

So the critical results from the same study showed that when Met got knocked down or deleted, we saw maturation of neural tissue. So now, if i'm thinking about Met and HGF, your article notes that HGF is decreased in autism brains. If we (1) need HGF for Met function, and (2) ASD may be attributed to decreased Met function, and (3) the C allele decreases Met levels, we're basically looking at a system that's modulating for ASD.