MONDAY, NOVEMBER 7, 2005

GEOMETRY/TOPOLOGY SEMINAR 667
TIME: 12:20 p.m. - 1:20 p.m.
ROOM: 209A Ayres Hall
SPEAKER: Dr. Valeriy Berestovskiy, Visiting Faculty
TITLE: The Lie algebra of smooth vector fields on smooth manifolds

FIRST-YEAR GTA TEACHING SEMINAR
TIME: 3:35 p.m. - 4:50 p.m.
ROOM: 309B Ayres Hall
SPEAKER: Dr. Morwen Thistlethwaite
TITLE: “Technology in the Classroom”

DIFFERENTIAL EQUATIONS/APPLIED & COMPUTATIONAL MATH SEMINAR
TIME: 3:35 p.m.
ROOM: 104 Ayres Hall
SPEAKER: Dr. Grozdena Todorova
TITLE: Strong instability of standing waves for the nonlinear Klein-Gordon equation and Klein-Gordon-Zakharov system.


WEDNESDAY, November 9, 2005

GEOMETRY/TOPOLOGY SEMINAR 667
TIME: 12:20 p.m. - 1:20 p.m.
ROOM: 209A Ayres Hall
SPEAKER: Dr. Valeriy Berestovskiy, Visiting Faculty
TITLE: Tensor fields on smooth manifolds

ALGEBRA SEMINAR
TIME: 3:30 p.m.
ROOM: 214 Ayres Hall
SPEAKER: Brian Irick
TITLE: Banach-Tarski Paradox II
ABSTRACT: A short movie of the speaker’s remarkable success in de-composing a common edible apple into finitely many pieces and then re-composing these pieces to form two apples, each congruent to the one he cut, will not be shown again.

ANALYSIS SEMINAR
TIME: 3:35 p.m. – 4:25 p.m.
ROOM: 309B Ayres Hall
SPEAKER: Dr. Fedor Andreev, Visiting Faculty
TITLE: Painleve Equations: Introduction and Algebraic Solutions to the Sixth Painleve equation (3)


THURSDAY, November 10, 2005

PROBABILITY SEMINAR
TIME: 1:10 p.m. – 2:00 p.m.
ROOM: 209A Ayres Hall
SPEAKER: Dr. Jie Xiong
TITLE: Mean-variance portfolio selection under partial information

FRIDAY, November 11, 2005

TOPOLOGY SEMINAR
TIME: 12:20 p.m. - 1:20 p.m.
ROOM: 209B Ayres Hall
SPEAKER: Dr. Nikolay Brodskiy
TITLE: Coarse Geometry II

COLLOQUIUM
TIME: 3:35 p.m. - 4:25 p.m.
ROOM: 214 Ayres Hall
SPEAKER: Dr. Cheng Wang
TITLE: Numerical study for structural and dynamic bifurcations of divergence-free vectors. Solutions of the incompressible fluid equations in different physical formulations can be viewed as one-parameter families of divergence-free vector fields with time $t$ as the parameter. Structural stability and structural bifurcation are presented in the talk, both theoretically and numerically. Boundary layer separation, symmetric stability and interior structural transition are taken into consideration. A driven cavity flow with Reynolds number Re=100,000, a strong shear flow induced by a temperature jump, and the secondary instability of a rising plume in Boussinesq convection, are chosen as numerical examples to verify the stability and bifurcation classifications. In addition, such a methodology can be applied to the investigation of dynamic stability and bifurcation of a class of fluid equations at a numerical level. This work will provide an approach to understand many fundamental phenomena in fluid dynamics, since the pattern and the structure of the velocity field characterizes the flow.

REFRESHMENTS WILL BE SERVED IN AYRES HALL ROOM 119 AT 3:00 P.M.