The word "virtuosities" is spelled with a "u" after the "t" because the "t" is pronounced as a "ch" sound in IPA phonetic transcription. Therefore, the "u" is needed to modify the sound of the preceding consonant. The word refers to the quality or state of being a virtuoso, someone highly skilled in a particular art or activity. It can also refer to the display of such skill or expertise.
The word "virtuosities" is derived from the noun "virtuosity", which comes from the Latin root word "virtus", meaning "excellence" or "ability". It entered English usage through the Italian word "virtuosita", which was primarily used in the context of music during the 17th century. Over time, "virtuosita" evolved into "virtuosity", and the plural form "virtuosities" refers to multiple instances or examples of this excellence or skill, particularly in the arts or any other field requiring exceptional ability.