Question: When the Roman emperor Titus was the first to succeed his own father, he ordered months of games to inaugurate the newly-completed arena now known by what name?

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Siege of Jerusalem (AD 70): The Siege of Jerusalem in the year 70 was the decisive event of the First Jewish–Roman War.  The Roman army, led by the future Emperor Titus, with Tiberius Julius Alexander as his second-in-command, besieged and conquered the city of Jerusalem, which had been controlled by Judean rebel factions since 66.

Marcia Servilia Sorana: Marcia Servilia Sorana or commonly known as Servilia (40s-66) was the daughter of Roman Senator Quintus Marcius Barea Soranus and her mother may have been from the gens Servilia.  Servilia's paternal uncle was the Roman Senator Quintus Marcius Barea Sura, who was a friend to the future Roman Emperor Vespasian.  Her paternal cousins were Marcia (mother of Ulpia Marciana and of future Roman Emperor Trajan) and Marcia Furnilla (the second wife of the future Roman Emperor Titus).  Her paternal grandfather Quintus Marcius Barea Soranus was Suffect Consul in 34 and twice Proconsul of Africa.

Caesar's Messiah: Caesar’s Messiah is a 2006 book of speculative non-fiction by Joseph Atwill, which argues that the New Testament Gospels were written as wartime propaganda by scholars connected to the Roman imperial court of the Flavian emperors: Vespasian, Titus and Domitian.  According to Atwill, their primary purpose in creating the religion was to control the spread of Judaism and moderate its political virulence.  The Jewish nationalist Zealots had been defeated in the First Jewish–Roman War of 70 AD, but Judaism remained an influential movement throughout the Mediterranean region.  Atwill argues that the biblical character Jesus Christ is a typological representation of the Roman Emperor Titus.

Titus (disambiguation): Emperor Titus (AD 39–81), Titus Flavius Vespasianus, later Titus Flavius Caesar Vespasianus Augustus, was Roman emperor from AD 79 to 81.

Titus: Titus (Latin: "Titus Flāvius Caesar Vespasiānus Augustus" ; 30 December 39 AD – 13 September 81 AD) was Roman emperor from 79 to 81.  A member of the Flavian dynasty, Titus succeeded his father Vespasian upon his death, thus becoming the first Roman emperor to come to the throne after his own biological father.

Inaugural games of the Flavian Amphitheatre: The inaugural games were held, on the orders of the Roman Emperor Titus, to celebrate the completion in AD 80 (81 according to some sources) of the Colosseum, then known as the Flavian Amphitheatre (Latin: "Amphitheatrum Flavium" ).  Vespasian began construction of the amphitheatre around AD 70 and it was completed by his son Titus who became emperor following Vespasian's death in AD 79.  Titus' reign began with months of disasters – including the eruption of Mount Vesuvius, a fire in Rome, and an outbreak of plague – he inaugurated the completion of the structure with lavish games that lasted for more than one hundred days, perhaps in an attempt to appease the Roman public and the gods.

Tito e Berenice: Tito e Berenice is an opera ("dramma per musica") in three acts composed by Antonio Caldara to a libretto by Carlo Sigismondo Capece.  It premiered on 10 January 1714 at the Teatro Capranica in Rome.  The story centers on the love affair between Berenice of Cilicia and the future Roman Emperor Titus.  The libretto borrows from earlier plays on the same subject by Corneille ("Tite et Bérénice") and Racine ("Berenice"), both of which premiered in 1670 and took as their starting point Suetonius's brief account of the love affair in "De vita Caesarum".

Marcia Furnilla: Marcia Furnilla was a Roman noble woman that lived in the 1st century.  Furnilla was the second and last wife of the future Roman Emperor Titus.

Julia Flavia: Julia Flavia (13 September 64 – 91) was the daughter and only child to Emperor Titus from his second marriage to the well-connected Marcia Furnilla.  Her parents divorced when Julia was an infant, due to her mother's family being connected to the opponents of Roman Emperor Nero.  In 65, after the failure of the Pisonian conspiracy, the family of Marcia Furnilla was disfavored by Nero.  Julia's father, Titus considered that he didn't want to be connected with any potential plotters and ended his marriage to Marcia Furnilla.  Julia was raised by her father.  Julia had been born in Rome and Titus conquered Jerusalem on Julia's sixth birthday.

Priscus (gladiator): Priscus (fl.  late 1st century AD) was a Roman gladiator of Celtic origins.  His combat with Verus was the highlighted entertainment of the opening day games sponsored by Titus to inaugurate the Flavian Amphitheatre in AD 80.  It was recorded in a laudatory poem by Martial — Liber Spectaculorum is the only known detailed description to survive of a gladiatorial fight.  This laudatory poem was written to honor and to highlight all the events of Titus's games.  Their fight marked the beginning of the celebration and concluded in a rare result.  Both gladiators were declared victors of the match, and were unexpectedly awarded their freedom by the Emperor.

Supporting paragraphs: Inaugural games of the Flavian Amphitheatre Titus
Answer: the Colosseum