18 events the sources record for this year, grouped by region.
What happened
China (7)
At Luoyang an ancestral temple was built, altars of the soil and grain were set up, and an altar was erected in the southern suburbs. (Book of the Later Han (Hou Hanshu), Annals 後漢書卷1上 光武帝紀上 建武2年)
The Red Eyebrows burned the palaces of the Western Capital (Chang'an), dug up the imperial tombs and plundered Guanzhong; Deng Yu entered Chang'an and enshrined the tablets of the eleven emperors in the ancestral temple. (Book of the Later Han (Hou Hanshu), Annals 後漢書卷1上 光武帝紀上 建武2年)
Guangwu personally went out to attack the Five Jiao (Wu Jiao); at Neihuang he crushed the Five Jiao of Yiyang and made them surrender. (Book of the Later Han (Hou Hanshu), Annals 後漢書卷1上 光武帝紀上 建武2年)
In the eighth month, Emperor Guangwu personally led an expedition against the Five Chiefs. On the day bingchen he reached Neihuang and crushed the Five Chiefs at Yiyang, forcing fifty thousand men to surrender. (Zizhi Tongjian (Comprehensive Mirror) 資治通鑑 卷040 (원문 단락 #2967, 26년))
Korean Peninsula (1)
King Muhyul of Goguryeo (Daemusin) destroyed Nangnang, and its people together with the people of Daebang surrendered to Silla. (Samguk Yusa (Memorabilia of the Three Kingdoms) 紀異第一 樂浪國)tradition
After losing his two sons (Germanicus in Syria, Drusus at Rome), he withdrew to Campania; during a dinner at the grotto villa near Terracina a large rock fell, killing several guests and attendants. (Suetonius, Lives of the Caesars Tiberius 39)
After touring Campania he dedicated the Capitolium at Capua and the temple of Augustus at Nola, and retired to Capri. (Suetonius, Lives of the Caesars Tiberius 40)
Poppaeus Sabinus heavily defeats the mountain Thracian tribes and receives triumphal ornaments (Tacitus, Annals and Histories Ann. 4.46)
Barbarians swarm down and hurl stones and fire-hardened stakes at the rampart (Tacitus, Annals and Histories Ann. 4.51)
The first step to Agrippina's ruin: her cousin Claudia Pulchra is accused by Domitius Afer (Tacitus, Annals and Histories Ann. 4.52)
Tiberius withdraws to Campania and pretends to dedicate a temple of Jupiter at Capua and a temple of Augustus at Nola (Tacitus, Annals and Histories Ann. 4.57)