| Thursday 13 March 2025 | |
| Events for day: Wednesday 05 March 2025 |
| 14:00 - 15:00 Combinatorics and Computing Weekly Seminar Locally Recoverable Codes over Z_{p^s} School MATHEMATICS Locally recoverable codes (LRCs) play a vital role in distributed storage systems where the failure or unavailability of storage devices is a common occurrence. The purpose of LRCs is to facilitate the repair processes required to recover lost or damaged data in such systems. In this talk, we discuss new constructions of (r, δ)-LRCs. Initially, we provide generator matrices for (r, 2)-LRCs, which is Singleton-Type Bound (STB)-optimal. Also, we present a method for recovering an erased symbol in a codeword of our (r, 2)-LRC. We argue an example illustrating that the Gray image of particular Z_{p^{s+1 }} -LRCs of length n results i ... 17:30 - 19:00 Algebraic Geometry Biweekly Webinar Boundedness for Fibered Calabi-Yau Varieties School MATHEMATICS Seen through the lens of the Minimal Model Program, the classification of algebraic varieties can be summarised into two main steps: firstly, the algorithm of the MMP allows to decompose a variety with mild singularities, birationally, into a tower of fibrations whose general fibres have ample, anti-ample, or numerically trivial canonical divisor. In view of this decomposition, the natural second step to take is to study these 3 classes of algebraic varieties in detail, for example, studying their moduli theory and/or any other property that could shed light on ways to understand all possible elements that belong to such classes. It turns out ... |