Which U.S. president won the Nobel Peace Prize in 1906 for helping end the Russo-Japanese War?

Besides Greenland, which North Atlantic island group is a self-governing part of the Kingdom of Denmark? Which woman was Julius Caesar's wife at the time of his assassination? Which American won men's figure skating gold at the 1988 Calgary Olympics in the "Battle of the Brians"? Which jockey, nicknamed "The Shoe," retired in 1990 with a then-record 8,833 wins? Which Republican represented Pennsylvania in the U.S. Senate alongside Arlen Specter from 1995 to 2007? The deadly Dupont Plaza Hotel fire of December 31, 1986, struck which Caribbean island? Which 2005 Tony-winning play by John Patrick Shanley was made into a 2008 film with Meryl Streep? Which Clint Eastwood western won the Academy Award for Best Picture of 1992?