Council Tax is collected by local authorities in the United Kingdom. It is a tax on domestic property and helps to pay for local amenities and services. If you are a full time student living only with other full time students or in a halls of residence then you will not have to pay the tax. If this is the case you should get a form from your university to prove you are a full time student.
If there are any residents living with you who are not full time students then you may have to pay half, or all, of the usual Council Tax value paid by residents on that property. For further information on the Council Tax, see the UKCISA Information Sheet : Council Tax and international students.