This is the 13200th most frequent Russian word.
минской
"Минской" means "of Minsk" or "Minsk's," relating to the city of Minsk.
The word "минской" is used here as an adjective, indicating something related to Minsk, specifically the weather in this context.
Я прочитал статью о минской погоде вчера.
I read an article about Minsk's weather yesterday.
In this sentence, "минской" serves as an adjective to describe the noun "школе" (school), specifying that the school is associated with Minsk.
Минской школе исполнилось сто лет в прошлом году.
Minsk’s school turned one hundred years old last year.
Here, "минской" is an adjective modifying "выставки" (exhibition), specifying that the exhibition is taking place in Minsk.