Topological matter has emerged as a central research theme due to its rich fundamental properties and potential technological impact over the next decades. The expanding family of topological materials - from graphene to topological insulators, Weyl semimetals, and exotic states in twisted layered materials - promises to drive disruptive advances in quantum technologies. These materials enable low-power electronics and resilient photonic circuits through unique conduction channels, boost sensor precision, improve thermoelectric performance, and open avenues for energy harvesting. They also offer platforms for quantum computing and advanced spintronics through their robust, protected edge states. This seminar aims to commemorate 10 years since the topological matter Nobel Prize by inviting both young and experienced researchers to share and review their discoveries in this fascinating field.