Abstract

Exact results on N = 2 supersymmetric gauge theories.- Families of N = 2 field theories.- Hitchin systems in N = 2 field theory.- A review on instanton counting and W-algebras.- b-deformed Matrix Models and 2d/4d correspondence.- Localization For N = 2 Supersymmetric GaugeTheories in Four Dimensions.- Line operators in supersymmetric gauge theories and the 2d-4d relation.- Surface Operators.- A review on SUSY gauge theories on S3.- 3d Superconformal Theories from Three-Manifolds.- Supersymmetric gauge theories, quantization of Mflat, and conformal field theory.- Gauge/Vortex Duality and AGT.- B-Model Approach to Instanton Counting.

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