Considering how absolutely desperate governments are becoming I would expect you to be kicked out so the state can find a more reliable revenue source.
Tent cities are popping up everywhere.
When we've completed short sales, we've included the taxes in the price for the lender to pay at closing. This way the homeowner did not have to come to thee closing with $$ out of pocket.
The town will end up placing a lien on your home for the taxes owed. If you attempt to sell your home then the lien will have to be paid off with any fines that are due as well. Property taxes take priority over any other liens including your mortgage. As Andrew stated, the town may begin proceedings to take over your property and sell it to obtain the taxes owed.
Good luck to you!
Prudential Connecticut Realty