College of Arts and Sciences
Calendar of Events
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Analysis Seminar – John-Oliver MacLellan (University of Alabama)
Analysis Seminar – John-Oliver MacLellan (University of Alabama)
Title: "A Compact Embedding Theorem for Degenerate Sobolev Spaces" Abstract: In this talk I will prove a compact embedding theorem for degenerate Sobolev spaces into naturally associated weighted Lebesgue spaces. This is a generalization of the Rellich Kondrachov compactness theorem for classical Sobolev spaces. These embeddings have been studied in a very general context in
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Colloquium – John Etnyre, Georgia Institute of Technology
Colloquium – John Etnyre, Georgia Institute of Technology
Topic:Â Curvature and contact topology Abstract: Â Contact geometry is a beautiful subject that has important interactions with topology in dimension three. In this talk I will give a brief introduction to contact geometry and discuss its interactions with Riemannian geometry. In particular I will discuss a contact geometry analog of the famous sphere theorem and
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Applied Math Seminar – Kyle Mandli (Columbia University)
Applied Math Seminar – Kyle Mandli (Columbia University)
Title of talk: Â Computational Challenges to Prediction and Mitigation of Coastal Hazards Abstract: Coastal flooding due to severe storms is one of the most widespread and damaging hazards faced around the world. Â The threat of these events has grown not only due to increased population and economic reliance on coastal regions but also due to
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Analysis Seminar – Yuanzhen Shao, Georgia Southern University
Analysis Seminar – Yuanzhen Shao, Georgia Southern University
Title: Some Applications of Singular Manifold Theory to Applied Mathematics Abstract: Many applications of applied sciences lead to differential equations with various types of singularities, including singularities of the geometry of the underlying space and singularities of the coefficients of the differential equations. The aim of this talk is to introduce the concept of singular manifolds, which can describe various kinds of singularities in a unified way, and then my recent work on the partial differential equation theory over singular manifolds will be presented. I will illustrate by several examples from applied mathematics how to use this theory to treat different types of singularities via a unified approach.