
3月演講

Colloquium, 清華大學數學系 潘戍衍教授
Thursday, March 1, 16:10—17:00 數學系3174
Title: On Finite Howe Correspondence of Unipotent Characters Abstract: By restricting the Weil character to a reductive dual pair of a symplectic group and an even orthogonal group, we obtain a correspondence between irreducible characters of the two groups. It is known that the correspondence preserves the unipotent characters. In this talk, we want to discuss some results on the correspondence from Lusztig's classification of unipotent characters

Colloquium, 中央研究院數學研究所 邱聖夫博士
Thursday, March 8, 16:10—17:00 數學系3174
Title: From Uncertainty Principle to Nonsqueezing Phenomenon Abstract: Uncertainty principle is one of the most amazing features of the mathematical foundation of quantum mechanics. The principle demonstrates the failure of simultaneous measurements of conjugate variables such as the position and momentum of a particle, which seems unexplainable in the realm of classical mechanics. In this talk we will discuss an analog of uncertainty principle in the field of symplectic and contact topology, namely the nonsqueezing phenomenon which was discovered firstly by Gromov. By replacing wave functions by sheaves, We introduce a categorification procedure which plays the role of semiclassical "quantization" as it is done in quantum mechanics and extract a symplectic/contact invariant from the categorical operations. It turns out that this invariant becomes an obstruction of symplectic/contact squeezing phenomenon in a way similar to homological obstruction of homeomorphisms in basic algebraic topology.

Colloquium, 交通大學應用數學系 林得勝教授
Thursday, March 15, 16:10—17:00 數學系3174
Title: Falling Liquid Film: Bifurcation, Continuation and Asymptotics Abstract: The flow of a liquid film down an inclined plane wall is investigated. The flow structures are analyzed using three different models, namely, the generalized KuramotoSivashinsky model, the longwave model, and the Stokes equations for zero Reynolds number flow. The performance of each model will be discussed. Besides, a numerical continuation method is developed to explore solutions of evolution equations that allows us to track branches of travellingwave solutions as well as solutions that are timeperiodic in a frame of reference travelling at a constant speed. Finally, we show recent development in constructing the single pulse solutions using matched asymptotic expansions.

PDE Seminar, Myongji University 盧世垠教授
Monday, March 19, 11:15—15:30 數學系3F會議室
Title: Invariant Manifolds of the Steady Boltzmann Equation (1)

Colloquium, 中興大學應用數學系 李渭天教授
Thursday, March 22, 16:10—17:00 數學系3174
Title: The Poset Ramsey Number Abstract: 摘要PDF

PDE Seminar, 國家理論科學研究中心 青木一生教授
Monday, March 26, 11:15—15:30 數學系3F會議室
Title: Some Problems to be Tackled Mathematically in Kinetic Theory of Gases

Colloquium, 屏東大學應用數學系 吳進通教授
Wednesday, March 28, 16:10—17:00 數學系3174
Title: On the CR Reilly Formula Abstract: In this talk, we derive the CR Reilly’s formula and its applications to studying of the first eigenvalue estimate for CR Dirichlet eigenvalue problem, embedded pminimal hypersurfaces and CR Minkowski’s inequality. In particular, we obtain the first Dirichlet eigenvalue estimate in a compact pseudohermitian manifold with boundary, the first eigenvalue estimate of the tangential sublaplacian on closed oriented embedded pminimal hypersurfaces in a closed pseudohermitian manifold of vanishing torsion, and the CR Minkowski’s inequality for convex body with boundary immersed in a pseudohermitian manifold with some curvature conditions. This is a joint work with ShuCheng Chang, ChihWei Chen and YenChang Huang.





