The letter “o” with two dots above it is called an “umlaut” in the German language, which means “sound alteration.” The two dots, also known as “diaeresis,” indicate that the vowel sound of the letter “o” should be pronounced differently than it would be without the umlaut.

The umlaut is commonly used in German, but it can also be found in other languages such as Swedish, Finnish, and Turkish. In these languages, the umlaut serves a similar purpose, indicating that the vowel sound should be altered in some way.
In German, the umlaut is used to indicate a change in the pronunciation of certain vowels. For example, the letter “o” with an umlaut (ö) is pronounced with a different sound than the letter “o” without an umlaut. The same is true for the letters “a” (ä) and “u” (ü) with umlauts.
The pronunciation of the umlauted letters can be a bit tricky for non-native speakers, as they require the speaker to make different mouth and tongue movements than they might be used to. However, with practice, it is possible to master the umlaut sounds and pronounce them correctly.
The umlaut can also be used to indicate a change in the meaning of a word. For example, the word “Mutter” means “mother” in German, while “Mütter” (with an umlaut over the “u”) means “mothers.” Similarly, the word “Käse” means “cheese,” while “Kässe” (with an umlaut over the “e”) is not a word in German.
In addition to indicating a change in pronunciation and meaning, the umlaut can also be used to distinguish between two words that would otherwise be spelled the same. For example, the words “für” (for) and “fürs” (short for “für das,” which means “for the”) are spelled differently in German, but they sound the same when spoken. However, when “fürs” is written with an umlaut over the “u” (für’s), it is clear that it is a contraction of “für das” and not the word “for.”
One interesting fact about the umlaut is that it was originally written as an “e” above the vowel, rather than two dots. This was common in Middle High German, the predecessor of modern German, but the umlaut began to be written with two dots in the 16th century. This change was likely made to make the umlaut easier to write and to distinguish it from other diacritical marks used in German.
Another interesting fact is that the umlaut is not unique to German and the other languages mentioned earlier. It is also used in some English words borrowed from other languages, such as “über” and “doppelgänger.” In these cases, the umlaut is used to indicate the correct pronunciation of the foreign word.
In conclusion, the letter “o” with two dots above it is called an umlaut in German and serves to indicate a change in the pronunciation and meaning of certain vowels. It is also used in other languages and in some English words borrowed from other languages. Although it can be a bit tricky for non-native speakers to pronounce correctly, with practice it is possible to master the umlaut sounds and use them correctly.