Grinch

Right first things first the oil light on the SV is only really a warning light, to say something like 'OH god all the oil in the bike has gone'. Now it could be that your oil level is low and that it might not have 'covered' the sensor at some point. So your most important thing to do NOW is hold the bike upright and check your oil level in the window at the side. It should be seen through the window (might need a wipe) and be between the 2 marker lines for high and low. If the engine is cold it might take a little time to level out.
Now if you can't see it you might want to move the bike about to see if you can make any oil out.
If you tip it right, towards you while on the right side of the bike and only then you can see the oil, get some more right now and put it in.