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Mathematics Department

Operator Algebras and Dynamics Seminars

Fall 2017

All talks are from 3:45-4:45 p.m. in the Seminar room, unless otherwise specified.

  • Nov
    15
  • Autonomous Robotics: Estimation and Nonlinear Dynamics
    Christopher Heckman
    University of Colorado Boulder
    Time: 12:00 PM

    View Abstract

    In this talk, I will discuss algorithms that are addressing critical challenges to robot autonomy: visual-inertial perception with online statistical change detection and drift correction, and adaptive simulation-in-the-loop model predictive control (MPC). Visual-inertial simultaneous localization and mapping (SLAM) is a technique used to navigate in unknown environments; we have augmented it with the ability to both self-calibrate and correct for calibration drift over time. Our method relies on determining when calibrations have become stale and initiates a new self-calibration when they do, applying calibrations post-hoc for higher accuracy. Nonlinear MPC on the other hand focuses on how to infer optimal control inputs of a high-dimensional nonlinear plant model. I will show how these methods apply to autonomous vehicles moving at fast speeds, and how they extend to novel maneuvers such as jumping and slipping on real platforms.
  • Oct
    25
  • The Mathematical Foundations of Adaptive Quantum Processing
    Daniel Bonior
    Naval Research Laboratory
    Time: 03:45 PM
  • Oct
    06
  • An Extension Theorem in Weighted Sobolev Space
    Marjorie Drake
    The University of Texas at Austin
    Time: 03:45 PM
  • Sep
    25
  • Symmetric Entangled States
    Prof. Geoffrey Price
    United States Naval Academy
    Time: 03:45 PM
  • Aug
    21
  • Structural Properties of Substitution Minimal Systems
    Andrew Dykstra
    Hamilton College
    Time: 12:00 PM

    View Abstract

    Iterating a substitution rule is a simple way to generate a symbolic dynamical system, and with modest assumptions about the substitution rule, the system it generates will enjoy nice structural properties. In this talk we will look at examples of substitution systems, as well as how structural properties of a given substitution system are preserved under topological conjugacy.
  • Jul
    21
  • Local properties for regular inclusions
    Prof. David Pitts
    University of Nebraska
    Time: 11:00 AM
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