# Questions tagged [geometric-langlands]

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58
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### Real representations of G = those of Langlands dual and maps of a cylinder

There is a result about the real representations of a simple Lie group $G$ which is known as Soergel conjecture or Vogan duality. We'll focus on the formulation that for a fixed character of $G$
$\...

**40**

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**1**answer

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### Consequences of Geometric Langlands

So, lots of people work on the Geometric Langlands Conjecture, and there have been a few questions around here on it (admittedly, several of them mine). So here's another one, tagged community wiki ...

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### Reverse Langlands transform

What os the meaning of a reverse Langlands transform to which Drinfeld seems to refer?

**5**

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**2**answers

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### Sheaves on Bun_G

What's the background I need to know to understand the conjectural
D (Bun_G) =?= O(LocSys)
from this question. I know the LHS is about the derived category of ...

**13**

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**3**answers

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### What is Eisenstein series?

There are several related questions here, the latter being especially interesting. We know the classical Eisenstein series.
What are the Eisenstein series on a group G and why they are interesting?
...

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votes

**2**answers

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### What is an Oper?

Given a curve C, and a reductive group G, there is a moduli stack Loc_G(C), the stack of G-local systems. I keep reading that there's a substack of "opers" but am having trouble locating a definition....

**11**

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**3**answers

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### ubiquitous quantum cohomology

Manin stressed that every projective scheme should have a quantum-cohomology structure. I'd like to know more about that. And since the varieties considered in texts about monodromy resp. vanishing ...

**12**

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**7**answers

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### Langlands Dual Groups

Can someone explain, explicitly, how to, given a reductive complex algebraic group construct the Langlands dual group? I know it is a group with the cocharacters of G as its characters, but how does ...