This is the 6426th most frequent Russian word.
эгидой
The Russian word "эгидой" (instrumental case of "эгида") means "under the auspices" or "protection."
Here, "эгидой" means under the patronage or guidance of a respected organization.
Проект проводится под эгидой ООН.
The project is conducted under the auspices of the UN.
In this sentence, "эгидой" refers to being hosted or supported by authoritative bodies.
Фестиваль прошел под эгидой местных властей.
The festival took place under the patronage of the local authorities.
Here, "эгидой" metaphorically indicates an atmosphere characterized by certain values or conditions.