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Texas A&M University

Events for 09/14/2021 from all calendars

Nonlinear Partial Differential Equations

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Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Jacek Jendrej, LAGA, Université Sorbonne Paris Nord

Title: Soliton resolution for equivariant wave maps

Abstract: I will present a joint work with Andrew Lawrie from MIT on equivariant wave maps with values in a sphere. We prove that every solution of finite energy decomposes, as time passes, into a superposition of harmonic maps (solitons) and radiation. The proof builds on prior works of Côte, and Jia and Kenig, who proved that such a decomposition holds for a sequence of times. We combine their ideas with modulation analysis of multi-solitons.

Promotion Talk by Tian Yang

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Time: 4:00PM - 5:00PM

Location: BLOC 117

Speaker: Tian Yang, Texas A&M University

Description: Hyperbolic Geometry and Quantum Invariants
There are two very different approaches to 3-dimensional topology, the hy- perbolic geometry following the work of Thurston and the quantum invariants following the work of Jones and Witten. These two approaches are related by a sequence of problems called the Volume Conjectures. In this talk, I will explain these conjectures and present some recent joint works with Ka Ho Wong related to or benefited from this relationship.