The idiom "under the auspices" means that something is done or organized under the supervision, direction, or protection of an authority figure or organization. It implies that the authority figure or organization takes responsibility for the event or action that occurs.

The idiom "eat words" means to swallow one's words or to retract something that was previously said. It is often used to describe a situation where someone has spoken impulsively or incorrectly and is now forced to admit their mistake by eating their words.

The idiom "run out of steam" means to lose energy, enthusiasm or motivation. It can also mean that something has run out of its allotted time or has been exhausted.

The idiom "hard cheese" is used to express disbelief or shock when someone says something that you find unacceptable or offensive. It can also be used to express disappointment or frustration when someone does not fulfill your expectations.

The idiom "keep one's own counsel" means to remain silent or not share personal information with others, especially when it may be harmful or incriminating. It implies that a person values their privacy and wants to keep their thoughts and feelings to themselves.