|Colloquium, 淡江大學數學系 郭忠勝教授|
Thursday, December 7, 16:10—17:00 數學系3174
Title: Spatio-Temporal Oscillation for A Singular Predator-Prey Model
Abstract:We study an initial boundary value problem for a reaction-diffusion system arising in the study of a singular predator-prey system. Under an assumption on the growth rates, we first prove that the unique co-existence state is a center for the kinetic system. Then we prove that solutions of the diffusion system with equal diffusivity become spatially homogeneous and are subject to the kinetic part asymptotically. (This talk is based on a joint work with Masahiko Shimojo)
|Colloquium, 北海道大學理學研究院 Gen Nakamura名譽教授|
Thursday, December 14, 15:10—16:00 數學系3174
Title: Uniqueness of Inverse Boundary Value Problem for Dynamical Anisotropic Elasticty Systems
Abstract:We consider the uniqueness of inverse boundary value problem of identifying the elasticity tensors by measurements on the boundary for dynamical anisotropic elastic systems. We assume the tensors are piecewise analytic. We will report several uniqueness results.
|Colloquium, 臺灣大學數學系 夏俊雄教授|
Thursday, December 14, 16:10—17:00 數學系3174
Title: On the Mathematical Analysis of Synchronization
Abstract:In this talk, we shall introduce a universal phenomenon "synchronization" which is referred as an adjustment of rhythms of oscillating objects due to their weak interaction. We will demonstrate the mathematical analysis on the Kuramoto oscillators. In particular, we emphasize on the frequency synchronization. This is joint work with Bongsuk Kwon and Chang-Yeol Jung
|Colloquium, 中央研究院數學研究所 蔡宛育博士|
Thursday, December 21, 16:10—17:00 數學系3174
Title: Unitary Small Representations of Nonlinear Lie Groups
Abstract:In this talk, we first sketch the historical development of representation theory of reductive Lie groups, and introduce some basic notions and invariants to study it. Some major problems that have been solved for linear Lie groups are still mysterious for nonlinear Lie groups. We then discuss the growing importance of studying genuine representations of the nonlinear double cover of a real reductive Lie group. In particular, we are interested in the classification of genuine small epresentations and the algebraic properties that they carry. These small representations are part of the building blocks of the unitary dual of a onlinear real Lie group. This talk is based on some recent results appearing in my paper and the joint work with Dan Barbasch.