Seminar
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Location: | SLMath: Baker Board Room, Online/Virtual |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
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Bogomolny monopoles appear as the dimensional reduction of instantons to 3-manifolds. The moduli spaces of monopoles on R^3 are ALF hyperkahler manifolds, which have been extensively studied, originating from the works of Atiyah and Hitchin. In this talk, we will discuss monopoles on 3-manifolds and their generalizations to other dimensions, especially on Calabi-Yau 3-folds. Moreover, following a conjecture of Donaldson and Segal, we will see how moduli spaces of monopoles on Calabi-Yau 3-folds are related to special Lagrangians in these manifolds.
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