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LSpice
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Your favourite alternative proof of Borel-Weil-BottBorel–Weil–Bott

There is a really nice proof of Borel-Weil-BottBorel–Weil–Bott, essentially using parabolic induction (see hereProof of Borel-Weil-Bott Theorem, here (Lurie) - A proof of the Borel–Weil–Bott theorem or here (Demazure) - A very simple proof of Bott's theorem). Also, presumably there is a proof if you take the BGG resolution as given, and compare to the Weyl character formula.

However, because of the philosophy that it's worth knowing many proofs of a really fundamental result, I want to ask the

Question: What is your favourite (fundamentally different to the above) proof of Borel-Weil BottBorel–Weil–Bott?

Your favourite alternative proof of Borel-Weil-Bott

There is a really nice proof of Borel-Weil-Bott, essentially using parabolic induction (see here, here (Lurie) or here (Demazure)). Also, presumably there is a proof if you take the BGG resolution as given, and compare to the Weyl character formula.

However, because of the philosophy that it's worth knowing many proofs of a really fundamental result, I want to ask the

Question: What is your favourite (fundamentally different to the above) proof of Borel-Weil Bott?

Your favourite alternative proof of Borel–Weil–Bott

There is a really nice proof of Borel–Weil–Bott, essentially using parabolic induction (see Proof of Borel-Weil-Bott Theorem, Lurie - A proof of the Borel–Weil–Bott theorem or Demazure - A very simple proof of Bott's theorem). Also, presumably there is a proof if you take the BGG resolution as given, and compare to the Weyl character formula.

However, because of the philosophy that it's worth knowing many proofs of a really fundamental result, I want to ask the

Question: What is your favourite (fundamentally different to the above) proof of Borel–Weil–Bott?

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Pulcinella
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Your favourite alternative proof of Borel-Weil-Bott

There is a really nice proof of Borel-Weil-Bott, essentially using parabolic induction (see here, here (Lurie) or here (Demazure)). Also, presumably there is a proof if you take the BGG resolution as given, and compare to the Weyl character formula.

However, because of the philosophy that it's worth knowing many proofs of a really fundamental result, I want to ask the

Question: What is your favourite (fundamentally different to the above) proof of Borel-Weil Bott?