Posted February 1, 2024
Last modified April 30, 2024
Geometry and Topology Seminar Seminar website
3:30 pm Lockett 233
Jean-François Lafont, The Ohio State University
Strict hyperbolizations produce linear groups
Strict hyperbolization is a process developed by Charney--Davis, which inputs a simplicial complex, and outputs a negatively curved piecewise hyperbolic space. By applying this process to interesting triangulations of manifolds, one can create negatively curved manifolds with various types of pathological large scale behavior. I will give a gentle introduction to strict hyperbolization, and will explain why the fundamental groups of the resulting spaces are always linear over Z. This is joint work with Lorenzo Ruffoni (Tufts University).
Posted April 16, 2024
Last modified April 29, 2024
Faculty Meeting Questions or comments?
3:00 pm – 4:00 pm Lockett 232Meeting with Dean Cynthia Peterson
Posted April 19, 2024
Combinatorics Seminar Questions or comments?
2:00 pm – 3:00 pm Zoom (Please email zhiyuw at lsu.edu for Zoom link)
Peter Nelson, University of Waterloo
Infinite matroids on lattices
There are at least well-studied ways to extend matroids to more general objects - one can allow the ground set to be infinite, or instead define the concept of independence on a lattice other than a set lattice. I will discuss some nice ideas that arise when combining these two generalizations. This is joint work with Andrew Fulcher.
Posted January 16, 2024
Last modified March 4, 2024
Control and Optimization Seminar Questions or comments?
11:30 am – 12:20 pm Zoom (click here to join)
Jorge Poveda, University of California, San Diego
Donald P. Eckman, NSF CAREER, and AFOSR Young Investigator Program Awardee
Multi-Time Scale Hybrid Dynamical Systems for Model-Free Control and Optimization
Hybrid dynamical systems, which combine continuous-time and discrete-time dynamics, are prevalent in various engineering applications such as robotics, manufacturing systems, power grids, and transportation networks. Effectively analyzing and controlling these systems is crucial for developing autonomous and efficient engineering systems capable of real-time adaptation and self-optimization. This talk will delve into recent advancements in controlling and optimizing hybrid dynamical systems using multi-time scale techniques. These methods facilitate the systematic incorporation and analysis of both "exploration and exploitation" behaviors within complex control systems through singular perturbation and averaging theory, resulting in a range of provably stable and robust algorithms suitable for model-free control and optimization. Practical engineering system examples will be used to illustrate these theoretical tools.