Abstract: Representatives from Fields Information Security will present on their Information Security Specialist Program. Email Cassandra Schultz at for more information and program brochure.

Abstract: This talk is about Kac's famous inverse problem from 1966: "can one hear the shape of a drum?" The question asks whether the frequencies of vibration of a bounded domain determine the shape of the domain. First we present a quick survey on the known results. Then we discuss the key connection between eigenvalues of the Laplacian and the dynamics of the billiard, which is governed by the so called "Poisson Summation Formula". Finally we discuss our main theorem that "one can hear the shape of nearly circular ellipses". This is a joint work with Steve Zelditch (1953-2022).

Abstract: Homological algebra is a powerful tool to differentiate between structures and study obstructions. For instance, homology of spaces is an invariant that is classically simple to compute. For these reasons, it is desirable to develop these tools constructively, that means without using the law of excluded middle and the axiom of choice. We will discuss the relevance of these axioms, what breaks, and different approaches to fix or side-step the problems all together.