Skip to main content
MathOverflow

Return to Question

Notice removed Draw attention by Qichang Huangfu
Bounty Ended with David Ben-Zvi's answer chosen by Qichang Huangfu
edited tags
Link
Qichang Huangfu
Qichang Huangfu
  • 203
  • 1
  • 7
Notice added Draw attention by Qichang Huangfu
Bounty Started worth 200 reputation by Qichang Huangfu
Notice removed Draw attention by CommunityBot
Bounty Ended with no winning answer by CommunityBot
Notice added Draw attention by Qichang Huangfu
Bounty Started worth 100 reputation by Qichang Huangfu
formatting
Source Link
YCor
YCor
  • 63.9k
  • 5
  • 187
  • 285

Implications and Consequencesconsequences of the Recent Proofrecent proof of the Geometricgeometric Langlands Conjectureconjecture

I am a beginner in mathematical physics and Geometricgeometric Langlands, having very limited knowledge in both fields so far.

The proof of Geometricgeometric Langlands conjecture is published a few months ago. What are the possible impacts of this proof on the future developments of Geometricgeometric Langlands related research? Does this proof resolve the main questions in the Geometricgeometric Langlands program, or are there new directions, generalizations, or open questions that it might inspire? Besides, I am curious if the techniques involved in the proof introduce new tools or perspectives that may influence research in other fields.

I am specifically interested in:

  1. The intersection between Geometricgeometric Langlands and physics (conformal field theory, gauge theory, etc).
  2. The relations between Geometricgeometric Langlands and higher category theory/derived algebraic geometry.

Possible impacts of the proof of Geometricgeometric Langlands conjecture in other topics/fields are also welcomed.

Here is a nice thread on implications of Geometricgeometric Langlands conjecture but it was asked and answered more than one decade before the proof was released.

Implications and Consequences of the Recent Proof of the Geometric Langlands Conjecture

I am a beginner in mathematical physics and Geometric Langlands, having very limited knowledge in both fields so far.

The proof of Geometric Langlands conjecture is published a few months ago. What are the possible impacts of this proof on the future developments of Geometric Langlands related research? Does this proof resolve the main questions in the Geometric Langlands program, or are there new directions, generalizations, or open questions that it might inspire? Besides, I am curious if the techniques involved in the proof introduce new tools or perspectives that may influence research in other fields.

I am specifically interested in:

  1. The intersection between Geometric Langlands and physics (conformal field theory, gauge theory, etc).
  2. The relations between Geometric Langlands and higher category theory/derived algebraic geometry.

Possible impacts of the proof of Geometric Langlands conjecture in other topics/fields are also welcomed.

Here is a nice thread on implications of Geometric Langlands conjecture but it was asked and answered more than one decade before the proof was released.

Implications and consequences of the recent proof of the geometric Langlands conjecture

I am a beginner in mathematical physics and geometric Langlands, having very limited knowledge in both fields so far.

The proof of geometric Langlands conjecture is published a few months ago. What are the possible impacts of this proof on the future developments of geometric Langlands related research? Does this proof resolve the main questions in the geometric Langlands program, or are there new directions, generalizations, or open questions that it might inspire? Besides, I am curious if the techniques involved in the proof introduce new tools or perspectives that may influence research in other fields.

I am specifically interested in:

  1. The intersection between geometric Langlands and physics (conformal field theory, gauge theory, etc).
  2. The relations between geometric Langlands and higher category theory/derived algebraic geometry.

Possible impacts of the proof of geometric Langlands conjecture in other topics/fields are also welcomed.

Here is a nice thread on implications of geometric Langlands conjecture but it was asked and answered more than one decade before the proof was released.

Source Link
Qichang Huangfu
Qichang Huangfu
  • 203
  • 1
  • 7

Implications and Consequences of the Recent Proof of the Geometric Langlands Conjecture

I am a beginner in mathematical physics and Geometric Langlands, having very limited knowledge in both fields so far.

The proof of Geometric Langlands conjecture is published a few months ago. What are the possible impacts of this proof on the future developments of Geometric Langlands related research? Does this proof resolve the main questions in the Geometric Langlands program, or are there new directions, generalizations, or open questions that it might inspire? Besides, I am curious if the techniques involved in the proof introduce new tools or perspectives that may influence research in other fields.

I am specifically interested in:

  1. The intersection between Geometric Langlands and physics (conformal field theory, gauge theory, etc).
  2. The relations between Geometric Langlands and higher category theory/derived algebraic geometry.

Possible impacts of the proof of Geometric Langlands conjecture in other topics/fields are also welcomed.

Here is a nice thread on implications of Geometric Langlands conjecture but it was asked and answered more than one decade before the proof was released.