The instanton is a solution to the anti-self-dual equation, which is a non-linear partial differential equation defined over four-manifolds. The moduli space is a quotient of the space that consists of instantons. Moduli spaces have been serving significant roles in the field of low-dimensional topology. In this talk, the speaker describes some fundamental properties of instantons and moduli spaces over closed four-manifolds.

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In Student Colloquium, we do not fix the end time. Though a nominal time is shown above, we mean neither that it will be so, nor that it was so.