Events for 12/07/2018 from all calendars
Working Seminar in Groups, Dynamics, and Operator Algebras
Time: 2:00PM - 2:50PM
Location: BLOC 506A
Speaker: Jintao Deng, Texas A&M University
Title: Topological full groups of one-sided shifts of finite type VII
Algebra and Combinatorics Seminar
Time: 3:00PM - 4:00PM
Location: BLOC 628
Speaker: Yang Qi, University of Chicago
Title: On the rank preserving property of a linear section and its applications in tensors
Abstract: This talk is motivated by several conjectures on tensor ranks arising from signal processing and complexity theory. In the talk, we will first translate these conjectures into the geometric language, and reduce the problems to the study of a particular property of a linear section of an irreducible nondegenerate projective variety, namely the rank preserving property. Then we will introduce several useful tools and show some results obtained via these tools. This talk is based on a joint work with Lek-Heng Lim.
Geometry Seminar
Time: 4:00PM - 5:00PM
Location: BLOC 628
Speaker: Y. Qi, U. Chicago
Title: TBA
Colloquium - Agnieszka Miedlar
Time: 4:00PM - 5:00PM
Location: BLOC 220
Speaker: Agnieszka Miedlar, University of Kansas
Description: Title: Challenges for Eigenvalue Computations in Breakthrough Applications
Abstract: Many real life problems lead to challenging PDE eigenvalue problems, e.g., vibrations of structures or calculation of energy levels in quantum mechanics. A lot of research is devoted to the so-called Adaptive Finite Element Method (AFEM) which allows discretization of the governing PDE, solving the finite dimensional algebraic eigenvalue problem and iteratively improving obtained numerical approximations. However, advanced approaches dedicated to solve these challenging eigenvalue problems require a unified framework bringing together: spectral and perturbation theory to derive a priori error estimators, a posteriori error analysis which enables deriving efficient and reliable error estimators which take into account various errors of different origins, iterative solvers and model reduction techniques to efficiently solve finite dimensional algebraic linear and nonlinear eigenvalue problems etc. This talk will discuss several attempts to achieve the above goal. In particular, we will explain how the Cauchy integral-based approaches offer an attractive algorithmic framework when solving interior large-scale
linear and nonlinear eigenvalue problems. Finally, we will illustrate presented methods with several numerical examples.