Saturday 26 July 2025 | ![]() |
Events for day: Wednesday 25 December 2024 |
14:00 - 15:00 Combinatorics and Computing Weekly Seminar The MST-Ratio: A New Measure of Mixedness for Colorful Point Sets School MATHEMATICS Recently, motivated by applications in spatial biology, we explored the interactions between color classes in a colored point set from a topological perspective. We introduced MST-ratio as a measure for quantifying the mingling of points with different colors. Investigating this measure raises intriguing questions in discrete geometry, which is the primary focus of this talk. In this talk, I will introduce the concept of the MST-ratio, present the best-known bounds and key complexity results for computing its maximum, and share new findings on its behavior in both random and arbitrary point sets. Finally, I will highlight several open ... 16:00 - 17:00 Mathematics Colloquium Affine Lie superalgebras and their representations School MATHEMATICS This talk is based on a project started since 2016 on representations theory of affine Lie superalgebras. The study of representations over affine Lie (super)algebras has a long history; the first attempt in this regard dates back to 1974 when a certain class of modules over affine Lie algebras were studied and classified by the eminent mathematician, Victor Kac. In this talk, we will discuss different classes of modules over an affine Lie (super)algebra and state the difficulties appearing to obtain a classification and that how we can overcome these difficulties. Subscribing the Mathematics Colloquium mailing list: htt ... |