Which one is correct?
- Heard you would be going.
- Heard you will be going.
- Heard you are going.
What differences are there?
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They are all correct, depending on the tense and the "situation" (i.e. they are auxiliary verbs: http://www.talkenglish.com/Grammar/auxiliary-verbs-will-would-shall-should.aspx )
You would be going to the dance, except for the fact that you have a broken leg.
You will be going to the dance if your leg heals by then.
You are going to the dance regardless of whether your leg heals.
I feel like there is a better explanation, so I would totally enjoy it if someone were to trump my answer.