There are many hotels close by in downtown Minneapolis, but the two listed below are the closest to the University of Minnesota, Minneapolis campus.

Holiday Inn Minneapolis Metrodome (Located on the West Bank one block from Andersen Library)
1500 Washington Ave S.
Phone: (612) 333-4646
For Reservations only: 1-800-448-DOME(3663)
http://www.metrodome.com/

Radisson University Hotel - Minneapolis (formerly Radisson Metrodome) (Located on the East Bank but within blocks of Andersen Library)
615 Washington Avenue S.E
Reservations: (888) 201-1718
Telephone: (612) 379-8888
http://www.radisson.com/minneapolismn_metrodome