This is the 1450th most frequent Russian word.
института
"Института" is the genitive or accusative singular form of "институт," which means "institute" or "institution" in English.
Here, 'института' is used in the genitive case to indicate location. It refers to a specific institute, and the context suggests proximity.
Я живу недалеко от института.
I live near the institute.
In this sentence, 'института' is in the genitive case indicating possession. It shows that the meeting is associated with the institute, belonging to it.
Вчера на собрании института обсуждали новые правила.
Yesterday at the institute's meeting, new rules were discussed.
Here, 'института' is in the genitive case again, used to indicate an action, like graduating from the institution.