*Special Lecture* Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory

*Special Lecture* Gluing in geometric analysis via maps of Banach manifolds with corners and applications to gauge theory

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Paul Feehan, Rutgers University
Fine Hall 601

*Please Note Date, Time, and Location*

We describe a new approach to the problem of constructing gluing parameterizations for open neighborhoods of boundary points of moduli spaces arising in geometric analysis. Our approach employs general results from differential topology for smooth maps of smooth Banach manifolds with corners. We illustrate the method in the context of gluing anti-self-dual connections over closed four-dimensional manifolds, but it should apply to other problems in geometric analysis involving the gluing construction of solutions to nonlinear partial differential equations.