The word "saudades" was the the centerpiece of the closing ceremonies of the 2016 Rio Olympics.
It describes a feeling of melancholy or nostalgia not easily translated to English. Its definition in the Houaiss Dictionary of the Portuguese Language (Dicionário Houaiss da língua portugueseLíngua Portuguesa (Brazilian Portuguese Dictionary, Lisbon, 2003) defines itcan be translated as:
saudade A somewhatmore or less melancholic feeling of incompleteness. It is related linked by memory to thinking back on situationsbeing deprived of privation due to the absencepresence of someone or something, to move awayof being separated from a place or thing, or to the absence of a set of particular and desirablecertain experiences andor pleasures once lived.one experienced and considered as desirable by the person in question (often plural) <s. for/of a friend who is now living far way> <s. for/of a dead relative> <saudades for/of the Algarve> <s. for/of eating papaya> <s. of/for the beach> <saudades for/of the homeland> <s. for/of the good times>
One NBC commentator "wish(ed) there was some word in English" to convey its meaning.