Skip to main content
MathOverflow

Return to Answer

Added hyperlinks
Source Link
David Roberts ♦
David Roberts ♦
  • 35.5k
  • 11
  • 124
  • 349

One big recent example would be Lafforgue's proof of the Langlands correspondence for $GL_n$ of function fields (http://arxiv.org/abs/math.NT/0212399), which uses stacks of schtukas. It is similar to Drinfel'd's proof for $GL_2$, but with the moduli space being an essential component.

More readable versions, with additional context, are given by Lafforgue's advisor Gerard Laumon (http://arxiv.org/abs/math.AG/0003131 if you can read French) and by his student Ngo Dac Tuan (MR2402699 on MathSciNet, or http://www.impan.pl/~pragacz/download/Ngo.pdf)

One big recent example would be Lafforgue's proof of the Langlands correspondence for $GL_n$ of function fields (http://arxiv.org/abs/math.NT/0212399), which uses stacks of schtukas. It is similar to Drinfel'd's proof for $GL_2$, but with the moduli space being an essential component.

More readable versions, with additional context, are given by Lafforgue's advisor Gerard Laumon (http://arxiv.org/abs/math.AG/0003131 if you can read French) and by his student Ngo Dac Tuan (MR2402699 on MathSciNet, or www.impan.pl/~pragacz/download/Ngo.pdf)

One big recent example would be Lafforgue's proof of the Langlands correspondence for $GL_n$ of function fields (http://arxiv.org/abs/math.NT/0212399), which uses stacks of schtukas. It is similar to Drinfel'd's proof for $GL_2$, but with the moduli space being an essential component.

More readable versions, with additional context, are given by Lafforgue's advisor Gerard Laumon (http://arxiv.org/abs/math.AG/0003131 if you can read French) and by his student Ngo Dac Tuan (MR2402699 on MathSciNet, or http://www.impan.pl/~pragacz/download/Ngo.pdf)

Source Link
Zack Wolske
Zack Wolske
  • 1.9k
  • 15
  • 21

One big recent example would be Lafforgue's proof of the Langlands correspondence for $GL_n$ of function fields (http://arxiv.org/abs/math.NT/0212399), which uses stacks of schtukas. It is similar to Drinfel'd's proof for $GL_2$, but with the moduli space being an essential component.

More readable versions, with additional context, are given by Lafforgue's advisor Gerard Laumon (http://arxiv.org/abs/math.AG/0003131 if you can read French) and by his student Ngo Dac Tuan (MR2402699 on MathSciNet, or www.impan.pl/~pragacz/download/Ngo.pdf)