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Title:
From G2 gauge theory to the ADHM Seiberg–Witten equation
Speaker:
Abstract:
The compactness question for G2–instantons naturally leads one to consider the local problem around an associative submanifold. I will explain how, in a neighborhood of an associative submanifold, the G2–instanton equation can be understood as a Seiberg–Witten type equation. A result of Haydys then motivates introducing a second Seiberg–Witten type equation associated with the ADHM construction. I will end the talk by discussing a compactness theorem for the simplest of the ADHM Seiberg–Witten equations. This is joint work with Andriy Haydys.
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