Mødet foregår her.

Because mødet is the definite form: the meeting.

• et møde = a meeting
• mødet = the meeting

In Danish, definiteness is often shown by adding an ending to the noun, instead of using a separate word like the.

It is an et-word (a neuter noun).

Its basic forms are:

• et møde = a meeting
• mødet = the meeting
• møder = meetings
• møderne = the meetings

So the -et in mødet tells you both that it is definite and that the noun is an et-word.

Foregår is the present tense of foregå.

In this kind of sentence, it means something like:

• takes place
• goes on
• is happening
• sometimes is held

It is commonly used for events, activities, or processes. So it fits very naturally with møde.

Because -r is the normal present-tense ending in Danish.

• infinitive: foregå
• present tense: foregår

This is very common in Danish verbs:

• bo → bor
• komme → kommer
• læse → læser

Also, Danish verbs do not change for person:

• jeg foregår would not make sense semantically, but grammatically the verb form would still be foregår
• du foregår
• det foregår

So unlike English, there is no separate I take / he takes type of pattern.

Because foregår is already the main verb and carries the meaning by itself.

English often uses multi-word expressions like:

• is taking place
• is being held

Danish can express that idea with the single verb foregår.

So Mødet foregår her is complete as it stands.

Yes, that is grammatically correct.

Danish main clauses usually follow the verb-second rule, often called V2. That means the finite verb comes in the second position.

So both of these are possible:

• Mødet foregår her
• Her foregår mødet

The difference is emphasis:

• Mødet foregår her = neutral statement
• Her foregår mødet = stronger emphasis on here

But this would be wrong in a normal main clause:

• Her mødet foregår

because the verb is no longer in second position.

Her means here, usually near the speaker or in the current place.

Der usually means there, farther away or at another place.

So:

• Mødet foregår her = the meeting takes place here
• Mødet foregår der = the meeting takes place there

Be aware that der also has other uses in Danish, such as in existential sentences like Der er..., but that is not what is happening here.

There is no exact English equivalent.

A useful approximation is:

• start with an eh-type vowel
• round your lips as if saying oo

If you know other languages, it is similar to:

• the vowel in French deux
• the vowel in German schön

Also, the ending in mødet is usually unstressed and reduced, so the first syllable is the important one.

Yes.

Danish often uses the present tense for:

• something happening now
• a general fact
• a scheduled future event

So depending on context, Mødet foregår her could mean:

• the meeting is taking place here
• the meeting takes place here
• the meeting will be held here

If the context makes the time clear, Danish often does not need a separate future form.

Foregår is very natural here.

Some possible alternatives are:

• Mødet finder sted her = more formal, the meeting takes place here
• Mødet holdes her = the meeting is held here
• Mødet sker her = possible in some contexts, but less natural for a meeting

So foregår is a very good everyday choice for an event like a meeting.

Usually not as a natural equivalent.

Mødet er her sounds more like the meeting is here in a very literal location sense, and it is not the normal way to express that an event takes place somewhere.

For an event, Danish much more naturally uses verbs like:

• foregår
• finder sted
• holdes

So if you want to say where the meeting takes place, Mødet foregår her is the idiomatic choice.