Thursday 10 October 2024 |

Events for day: Thursday 21 September 2023 |

10:00 - 12:00 Commutative Algebra SeminarTrace Ideals, Nearly Gorenstein Rings and their Generalizations School MATHEMATICS Let $R$ be a commutative Noetherian ring and $M$ be an $R$-module. The trace of $M$, denoted by $ r_R(M)$, is defined as the sum of ideals $phi(M)$, where the sum is taken over all $R$-module homomorphisms $phi:Mlongrightarrow R$. The trace of a module have been considered in various contexts, in particular to better understand the center of the ring of endomorphisms of a module. When the canonical module $omega_R$ of $R$ exists, the significance of the trace of $omega_R$ arises from the fact that it describes the non-Gorenstein locus of $R$. The study of commutative rings lying between Gorenstein and Cohen-Macaulay rings has bee ... 11:00 - 12:00 Theory weekly seminar (TWS)Inertia of Intrinsic Spin School PARTICLES AND ACCELERATORS Abstract: Inertia is the intrinsic tendency of matter to remain in a given condition. The state of a particle in spacetime is determined by its mass and spin, which characterize the irreducible unitary representations of the inhomogeneous Lorentz group. Therefore, the inertial attributes of a particle are determined by its mass and spin. The inertial properties of mass are well known; hence, I concentrate on the inertial properties of intrinsic spin. Meeting Place: Seminar Room, School of Particles and Accelerators, IPM |