Trigger and Response

Be it the indian or western, classical music is not everyone's cup of tea. But then there are pieces, which are just phenomenal. I stumbled upon a blog while doing my ritual weekend browsing and found this short but obsessively bold performance. Even more interesting is the way blogger explains the performance in layman's term to the curious mind, it all just made straight sense:

If you notice, there is a trigger melody and there is a response melody. The response goes from statements ..to upheavals .. to long winded rhetoric. It is short, yet very eloquent. It speaks of two lives in parallel. It speaks of two melodies embattled in an intense conversation. It is reverie. Look at the spatial symmetry created in this piece. Splendid. This is consummation of the melodic ideal. This is Shanmukhapriya in reverie. This is contemplation in Shanmukhapriya.

Listen to it in your leisure: Is it fixed - 1:30.

Could some carnatic fan comment, what is "Shanmukhapriya"?