Add to ORKGThe geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N=4 super Yang-Mills theory in four dimensions. The key ingredients are electric-magnetic duality of gauge theory, mirror symmetry of sigma-models, branes, Wilson and 't Hooft operators, and topological field theory. Seemingly esoteric notions of the geometric Langlands program, such as Hecke eigensheaves and D-modules, arise naturally from the physics
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
I provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills...
I provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
In the pioneering work of A. Kapustin and E. Witten, the geometric Langlands program of number theor...
These lecture notes are based on the master class given at the Cen-ter for the Topology and Quantiza...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
The geometric Langlands program can be described in a natural way by compactifying on a Riemann surf...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
I provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills...
I provide an introduction to the recent work on the Montonen-Olive duality of N = 4 super-Yang-Mills...
In the gauge theory approach to the geometric Langlands program, ramification can be described in te...
In the pioneering work of A. Kapustin and E. Witten, the geometric Langlands program of number theor...
These lecture notes are based on the master class given at the Cen-ter for the Topology and Quantiza...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...
Geometric Langlands duality is usually formulated as a statement about Riemann surfaces, but it can ...