Year 1034 (MXXXIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar.
Events
By place
Byzantine Empire
April 11 – Emperor Romanos III (Argyros) is drowned in his bath, at the urging of his wife Zoë, who marries her chamberlain, and elevates him to the throne of the Byzantine Empire, as Michael IV. Romanos is buried in the Church of St. Mary Peribleptos in Constantinople.
Europe
Spring – Emperor Conrad II (the Elder) leads a German military expedition via the Rhone River into Burgundy, while two Italian armies led by Archbishop Aribert and Boniface III (margrave of Tuscany) head over the Alps and join with Count Humbert I at Great St. Bernard Pass.
March – Conrad II converges his armies on Lake Lemano and defeats Count Odo II in battle at Geneva (modern Switzerland). For his assistance, Conrad grants Humbert I with the Burgundian county of Maurienne.
May – King Mieszko II dies after a 6-year reign (probably killed as a result of a conspiracy) and is succeeded by his 17-year-old son Casimir I (the Restorer). A violent revolt spreads throughout Poland.
King Sancho III (the Great) of Pamplona captures León, after defeating a string of rivals. His rule now extends from the borders of Galicia in the west to the County of Barcelona in the east.
Summer – Poland is broke up into regions (during the so-called Pagan Reaction). Queen Richeza, Casimir I and his sisters Ryksa and Gertruda are driven into exile in Germany.
November 25 – King Malcolm II dies in battle at Glamis. He is succeeded by Duncan I, son of his eldest daughter, rather than Macbeth, who is possibly another grandson of his.
In Al-Andalus, benefiting from the weakening of the Muslim central authority, the count of Portugal, Gonçalo Maia, conquers Montemor-o-Velho (approximate date).
Franche-Comté becomes subject to the Holy Roman Empire.
Africa
A Pisan and Genovese fleet attack Bona (modern Annaba) on the Maghribi coast (modern Tunisia). The city is occupied for one year.
Births
Joscelin I de Courtenay, French nobleman (House of Courtenay)
Khön Könchok Gyalpo, founder of Sakya Monastery (d. 1102)
Deaths
February 21 – Hawise of Normandy, French duchess and regent
March 21 – Ezzo (or Ehrenfried), German count palatine
April 11 – Romanos III (Argyros), Byzantine emperor (b. 968)
October 31 – Deokjong, ruler of Goryeo (Korea) (b. 1016)
November 9 – Oldřich (or Odalric), duke of Bohemia
November 19 – Theodoric II, margrave of Lower Lusatia
November 25 – Malcolm II, king of Alba (Scotland)
December 8 – Æthelric (or Brihtmær), English bishop
Adémar de Chabannes, French monk and historian
Ali ibn Hasan (Ali-Tegin), Karakhanid ruler (khagan)