Belgravia is one of the richest neighbourhoods of any city in the world. Most of it is still owned by one man, The Duke of Westminster, which is what helps give him have an assumed wealth of around £8bn. Belgravia may be beautiful but it isn't the sort of place you 'live.' You probably won't be renting here during your student years!
Rooms are wildly expensive, and the rent for most double rooms is nearly ridiculous. Just the cost of living in the area is like a tax itself. The houses here are older and very uniform, with long upper-class terraces and tiny, pretty city squares.
Living in Belgravia isn’t convenient for any students (the costs!) but it is close for those studying at the Royal College of Art or Imperial College in Knightsbridge. You can also get from here quickly to central universities like SOAS, The University of London, The University of Westminster, City University, or LSE. Belgravia is connected to the wider city mostly by UberBlack - but there are also plenty of tube stations, like Sloane Square , Victoria, Knightsbridge and Hyde Park Corner.