Hún segir að hún vilji aftur fara á tónleika með þessari hljómsveit, jafnvel þótt miðarnir verði dýrari næst.

The að after segir means that and introduces a subordinate clause: Hún segir að... = She says that...

But after vilja (to want), Icelandic normally uses a bare infinitive, so you say vilja fara = want to go, not vilja að fara.

So:

• segir að = says that
• vilji fara = wants to go

Vilji is the present subjunctive of vilja.

In a clause after segir að, Icelandic often uses the subjunctive when reporting someone’s words, thoughts, wishes, or attitude rather than stating them directly as plain fact. So hún vilji presents the wish as her reported point of view.

A learner-friendly way to think about it is:

• vill = plain indicative, more direct
• vilji = reported/less directly asserted, common in this kind of subordinate clause

In everyday speech, you may sometimes hear vill in similar sentences, but vilji is very standard here.

Because Icelandic adverbs are often more flexible in position than English adverbs.

Here aftur fara means go again. The adverb aftur modifies the infinitive fara. This placement is natural after vilji.

You may also hear:

• vilji aftur fara
• vilji fara aftur

Both can work, though the rhythm and emphasis may differ slightly.

Tónleikar is usually a plural noun in Icelandic, even when English would say a concert in the singular.

So Icelandic often says:

• fara á tónleika = go to a concert

Also, á with motion often takes the accusative, and the accusative plural of tónleikar is tónleika.

So:

• tónleikar = concerts / a concert event
• á tónleika = to a concert

Because með governs the dative case.

• hljómsveit is feminine singular
• the dative singular of þessi is þessari

So:

• þessi hljómsveit = this band
• með þessari hljómsveit = with this band

Not necessarily.

In this context, it most naturally means something like to a concert by this band or to see this band again. Icelandic með can sometimes be used in places where English would phrase it differently.

So the idea is not usually that she is physically accompanying the band somewhere, but that the concert involves that band.

It means even though or even if, depending on context.

In this sentence, because the clause refers to a possible future situation and uses the subjunctive (verði), even if is the best fit:

• jafnvel þótt miðarnir verði dýrari næst
• even if the tickets are more expensive next time

So it introduces a concession: she still wants to go, despite that possible problem.

Verði is the present subjunctive of verða.

After jafnvel þótt, Icelandic often uses the subjunctive when talking about something uncertain, hypothetical, or not yet established as fact. Since this is about a possible future situation, the subjunctive fits well:

• miðarnir verði dýrari næst = the tickets may be / end up more expensive next time

If you used verður, it would sound more like a straightforward factual future statement.

Icelandic often uses verða where English might simply use be.

Literally, verða means become, but in future-looking contexts it often corresponds naturally to English be or get:

• miðarnir verði dýrari = the tickets become / get / are more expensive

So although verða literally suggests change, the most natural English translation here is often just are more expensive or get more expensive.

They each give useful grammar information:

• miðarnir = the tickets
  This is the nominative plural definite form, and it is the subject of verði.

• dýrari = more expensive
  This is the comparative of dýr (expensive). It agrees with the subject as a predicate adjective.

• næst = next time
  Here it means on the next occasion, not a specific time like next week unless the context says so.

So the ending and form choices help show:

• who/what the subject is
• that a comparison is being made
• that the situation refers to the next occasion