Quantum Field Theory, Topology and Duality

Dualities have not only greatly increased our theoretical understanding of String Theory and Quantum Field Theory, but in recent years have found important applications in diverse areas as well, such as integrable systems, condensed matter physics, heavy ion collisions, hydrodynamics and particle physics. In this talk I will give an overview of the various dualities  (T-duality, S-duality, Mirror symmetry, AdS/CFT, Geometric Langlands, ... ), in particular their topological aspects, and our contributions to this research area.

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[4]Bouwknegt-CareyFest.pdf [5]	174.58 KB