This is the 4131st most frequent Russian word.
публичные
"Public" or "related to the public."
The word 'публичные' describes the nature of the events as being accessible to everyone.
Эти мероприятия публичные, поэтому каждый может прийти.
These events are public, so everyone can attend.
The word 'публичной' (declined form of 'публичные') is used to specify that the library serves the public and is publicly available.
Она работает в публичной библиотеке на углу.
She works at the public library on the corner.
The word 'публичные' is used to highlight the fact that the statements are made in a public setting and are addressed to a wide audience.