September 18th 2020
Speaker: Mx. Shen Lu
Association: CU Boulder
Title Minimal Dynamical Systems and C*-algebra
Abstract: In mathematics, the study of dynamical systems is typically concerned about a space with a self-map that can be iterated and inverted, so it can be thought of as the space evolving over discrete time. Roughly speaking, a dynamical system is minimal if it cannot be reduced to dynamics on smaller pieces of the space. In this talk, we will mainly explore two examples of such systems with the underlying spaces being the circle and the Cantor set. If time permits, I will give a very brief introduction to C*-algebras arising from minimal dynamical systems, and discuss the resulting C*-algebras from our examples.
Video recording: https://www.dropbox.com/s/eniardqh1txlf5u/zoom_0.mp4?dl=0
Slides: https://www.dropbox.com/s/cr7mez4sqh1cm1i/MSUDenver-Lu.pdf?dl=0
October 2nd 2020
Speaker: Prof. John A. Rock
Association: California Polytechnic University Pomona
Title: RIP: Row Integration by Parts
Abstract: Every application of integration by parts can be done with a tabular method. The trick is to identify and consider each new integral in the table before deciding how to proceed. Many approaches to tabular methods found in the literature and online fail to clearly identify new integrals since the focus is often on constructing columns, thus new integrals are ignored. With RIP (Row Integration by Parts), each integral is clearly identified with a row and tables are built one row at a time. This allows RIP to apply to a much wider range of functions than those typically considered in other tabular methods for integration by parts and does so in a straightforward manner.
Video recording: https://www.dropbox.com/s/g20dkbze965hnkg/zoom_0.mp4?dl=0
Slides: https://www.dropbox.com/s/6ys7rxrikbzsi37/John%20Rock%20Slides.zip?dl=0
October 16th 2020
Speaker: Mx. Emily McMillon
Association: University of Nebraska – Lincoln
Title: Reliable Communication in Outer Space
Abstract: Distances in deep space are on a massive scale. When we send spacecraft to explore distant solar system bodies, we need to be able to communicate with them. However, the massive distances between us and these bodies creates problems, as signal strength degrades with distance, and radiation introduces errors in the signal. Coding theory solves this problem. In this talk, I will introduce the mathematical field of coding theory and how it has historically been used to benefit the pursuit of interplanetary space exploration.
Video recording: https://www.dropbox.com/s/onagw5z4lu3js8g/zoom_0.mp4?dl=0