Events for 09/14/2021 from all calendars
Nonlinear Partial Differential Equations
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
Time: 4:00PM - 5:00PM
Location: BLOC 117
Speaker: Tian Yang, Texas A&M University
Description: Hyperbolic Geometry and Quantum Invariants
Abstract:
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.