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Colloquium – Yuanzhen Shao, Georgia Southern University
302 Gordon Palmer HallTitle: Singular Manifold Theory and Its Applications Abstract: The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of geometric and analytic singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. Based on this theory, I will investigate several linear and nonlinear parabolic equations arising from geometric analysis and applied sciences.