Roast the eggplant naked on a high flame, turning it periodically until the skin is charred and the flesh is soft. Allow to cool. Peel off the charred skin and discard stem.
In a pan, heat the sesame oil until it is nearly smoking and fry the vadavam for a bare minute. Take care not to burn, as it will turn bitter. Tip this into the jar of a blender.
In the same pan, add the dry red chillies and fry till they are aromatic. Transfer to the same blender jar.
Now add and fry the freshly grated coconut till golden brown. Add the coriander leaves, stir and allow them to wilt slightly then switch off the flame.
When the mixture is cool, add the tamarind, jaggery, salt and roasted aubergine, tip all this into the waiting blender and grind to a paste.
Adjust sweet-sour-salt if necessary.
Serve with hot rice or as part of a mezze platter in place of baba ghanoush.