Who are the people in your numerical range?

When:  Mar 4, 2025 from 04:00 PM to 05:00 PM (ET)
This talk is part of the Barbara T. Faires Allegheny Mountain Colloquium, which aims to provide excellent math talks for undergraduates and to promote the mathematics done in our section. All speakers are based within the Allegheny Mountain Section. We hope that you'll join us for the first colloquium of the school year!
When: Tuesday, March 4th, 4-5 PM EST
Where: The talk will be streamed via Zoom at: https://bit.ly/allemo.

Dr. Kristin Camenga of Juniata College will be talking on "Who are the people in your numerical range?"

 

Abstract: The numerical range of a matrix is a set of numbers that result when a matrix is multiplied in a certain way by all the vectors of the unit sphere. Classically, we work with matrices that have complex numbers as entries and we can graph the corresponding numerical range on the complex plane. The numerical range is known to be convex (have no holes or dents) and contains the eigenvalues of the matrix. I first learned about the numerical range at a workshop in 2011, where I started working with some collaborators. In this talk, I will introduce the numerical range and some of the questions that we've investigated.  I will also share about how our research has unfolded, both the various collaborators who have motivated and enriched the process and the lessons I've learned about doing math research.

 

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A list of past speakers and some recordings can be found at https://www.alleghenymtn.maa.org/colloquium.
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Url: http://bit.ly/allemo
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Contact

Kristen Pueschel

klp65@psu.edu