One interesting part of the brain is called the neocortex. In the human brain, the neocortex is the largest part of the cerebral cortex, which is the outer layer of the cerebrum, with the allocortex making up the rest.
The neocortex is formed of six layers, numbered I to VI, from the outermost layer I – near to the pia mater, to the innermost layer VI – near to the underlying white matter. Each cortical layer has a characteristic distribution of different neurons and their connections with other cortical and subcortical regions. There are direct connections between different cortical areas and indirect connections via the thalamus.
This wikipedia is a reasonable start point for a neuroscience beginner.