Events
Department of Mathematics and Statistics
Texas Tech University
I this talk we will discuss the notion of Weak and Strong Lefschetz
properties for graded ring. We will then connect these properties to
the study of strongly stable ideals and generic initial
ideals. Finally, we will discuss almost complete intersection and
hyperplane arrangements from the point of view of Lefschetz
properties. This is partially based on a collaboration with
S. Marchesi and E. Palezzato.
Follow the talk via this Zoom link
Meeting ID: 944 0908 4315
Passcode: 015259
This talk is about a modified quasi-reversibility method for computing the exponentially unstable solution of a terminal-boundary value parabolic problem with noisy data. As a PDE-based approach, this variant relies on adding a suitable perturbing operator to the original PDE and consequently, on gaining the corresponding fine stabilized operator. The designated approximate problem is a forward-like one. This new approximation is analyzed in a variational framework, where the finite element method can be applied. With respect to each noise level, the Faedo-Galerkin method is benefited to study the weak solvability of the approximate problem. Relying on the energy-like analysis coupled with a suitable Carleman weight, convergence rates in L2–H1 of the proposed method are obtained when the true solution is sufficiently smooth.
Abstract. Guidance, navigation, and control of satellites--especially in the study of rendezvous and formation flight--relies heavily on methods that leverage local linear approximations of dynamical systems and measurement functions. This talk focuses mainly on cases in which linear approximations are insufficient to solve dynamics, control, or estimation problems. In such cases, we employ tools from numerical multilinear algebra on tensors arising from higher-order Taylor series. The inherently quadratic nature of some quantities, the linear unobservability of some estimation problems, and the need to quantify the performance of linear methods make these higher-order techniques useful in the setting of guidance, navigation, and control. In particular, tensor eigenvalues will be employed to compute operator norms of tensors associated with the error of linearized dynamics propagation, linearized boundary value problem solutions, and extended Kalman filter measurement updates.
When: 4:00 pm (Lubbock's local time is GMT -5)
Where: room MATH 011 (basement)
ZOOM details:
- Choice #1: use this link
Direct Link that embeds meeting and ID and passcode.
- Choice #2: join meeting using this link
Join Meeting, then you will have to input the ID and Passcode by hand:
* Meeting ID: 979 1333 6658
* Passcode: Applied (Note the capital letter "A")
Math Circle Fall Poster
abstract 2 PM CDT (UT-5)
Zoom link available from Dr. Brent Lindquist upon request.