Marissa Kawehi Loving, University of Wisconsin - Madison
2022 AWM Research Symposium
Emerging Talent Lecture

There are many different metrics that you can put on a surface. So, how can you tell when two metrics on a surface are the same or different? What is the least amount of information you need to answer this question? One approach is to keep track of the lengths of curves on your surface, and then use this data to determine your surface's metric. This is more formally known as “length spectral rigidity”. In this talk, we will explore length spectral rigidity questions for hyperbolic surfaces. I will discuss joint work with Tarik Aougab, Max Lahn, Nick Miller, and Sunny Yang Xiao (in various configurations).

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