|PDE Seminar, 清華大學數學系 江金城教授|
Thursday, March 2, 11:00—16:00 數學系3樓會議室
Title: The Milne and Kramers Problems for the Boltzmann Equation of a Hard Sphere Gas (2)
|Colloquium, 台灣大學數學系 李國瑋教授|
Thursday, March 2, 15:10—16:00 數學系3174教室
Title: Constant Mean Curvature Foliation in the Extended Schwarzschild Spacetime
Abstract: In this talk, we first give an introduction to the constant mean curvature (CMC) foliations and the CMC time functions. Then we summarize some CMC foliations results in cosmological spacetimes. For spatially noncompact cases, Schwarzschild spacetimes for example, CMC foliation properties were conjectured by Malec and O Murchadha in [1,2].
These conjectures are completely proved in [3,4,5] and we will show the ideas of these proofs in this talk as well.
|Colloquium, 台灣大學數學系 陳志偉教授|
Thursday, March 9, 16:10—17:00 數學系3174教室
Title: The Ricci Flow - a Chronological Survey and New Volume Estimates
Abstract: The Ricci flow is a parabolic partial differential equation of the metric tensor defined on a given Riemannian manifold. It is presumed that the flow can deform the manifold into a better look, so that we may detect the topology of the underlying manifold. I will present historical results in this field from the perspective of Poincare conjecture. At last, I will show you my recent discovery.
|PDE Seminar, 京都大學 陳逸昆教授|
Monday, March 13, 11:00—16:00 數學系3樓會議室
Title: Recent Progress on Boltzmann Equation
|Colloquium, 中央大學數學系 彭勇寧教授|
Thursday, March 16, 16:10—17:00 數學系3174教室
Title: Schur-weyl Duality and Affine Periplectic Brauer Algebras
Abstract: In this talk, we will recall the well-known Schur-Weyl duality and its generalizations that lead us to the discovery of a new algebra b P^-d , called the affine periplectic Brauer algebra. This algebra is defined by generators and relations that are very similar to those of the degenerate affine Nazarov-Wenzl algebra except for some crucial signs. It can be regarded as the (degenerate) affine generalization of the periplectic Brauer algebra introduced by Moon, which can be roughly thought as an algebra dual (in the sense of Schur-Weyl duality) to the periplectic Lie superalgebras. This talk is based on a joint work with Chih-Whi Chen.
|Colloquium, 中央研究院數學研究所 蕭欽玉教授|
Thursday, March 23, 15:10—16:00 數學系3174教室
Title: Szego Kernel Asymptotics in Complex and CR Geometry
Abstract: The Szego kernel is a classical subject in several complex variables, CR geometry and complex geometry. The study of the singularities of the Szego is closely related to topics like Tian-Yau-Zelditch asymptotics , Donaldson's program, CR embedding problems, CR positive mass theorem, Sasaki geometry and Geometric quantization theory. In this talk, I will survey our results about the asymptotics of the singularities of the Szego kernel and its applications in CR and Complex geometry.
|PDE Seminar, 成功大學數學系 吳恭儉教授|
Monday, March 27, 11:00—17:00 數學系3樓會議室
Title: Grad-Hilbert Expansion for Boltzmann Equation
Abstract: NCTS-NCKU 2017 Reading Seminar on Kinetic Theory