报告摘要：The Galactic Centre contains populations of stellar-mass andsubstellar-mass compact objects orbiting the central black hole,classified as early extreme-mass ratio inspirals (E-EMRIs) and extremelylarge mass ratio inspirals (XMRIs). These systems constitute asymmetricbinaries, characterized by mass ratios exceeding 10,0000 to 1. This massdifferential causes the secondary body to approximate a test particle,completing tens of thousands or millions of orbital cycles prior tocoalescence. This high cycle count delineates the spacetime geometry andmultipolar structure of the central black hole with greater resolutionthan comparable-mass supermassive black hole binaries, which undergorapid coalescence and exhibit fewer in-band cycles. The prolongedorbital data can in principle also facilitate topological analysis. Byapplying the Gauss-Bonnet theorem, the accumulated orbital precessionparameters relate the integrated curvature of the spacetime to itstopological invariants. The continuous gravitational wave emission fromthese populations generates a non-Gaussian, non-stationary compositesignal within the frequency band of the Laser Interferometer SpaceAntenna. This aggregated signal comprises an incoherent superposition ofindividual waveforms from eccentric and circular orbits, whichsuperimposes upon the spectral signatures of other target sources,including binaries of supermassive black holes and verificationbinaries. Spectral analysis indicates that sources with minimalfrequency drift constitute an unresolved stochastic background, whilesystems with measurable frequency evolution produce distinct spectralcomponents. Extracting targeted signals from this composite datarequires time-frequency domain modeling and non-Poissonian statisticalsubtraction protocols.

主讲人简介：I serve as a professor at the Department of Applied Mathematics of the Technical University of València (Universitat Politècnica de València) in València. Specifically, I am a fellow of the Institute for Multidisciplinary Mathematics. I teach at the School of Aerospace Engineering and Industrial Design. Additionally, I hold affiliations with Reinhard Genzel’s group at the Max Planck Institute for Extraterrestrial Physics, serve as an associate at the Higgs Centre For Theoretical Physics in Edinburgh. I am also visiting faculty at the Academy of Mathematics and System Science of the Chinese Academy of Sciences and the Kavli Institute for Astronomy and Astrophysics in Beijing. I completed my five-year degree in theoretical physics at València, comprising 22 written examinations. Subsequently, I relocated to Heidelberg to pursue (first a Master’s, then) a PhD in theoretical astrophysics, focusing specifically on nonlinear dynamics within dense stellar systems and the cosmic evolution of supermassive black holes. Later, I joined the Max Planck Institute for Gravitational Physics in Potsdam (the “Albert Einstein Institute”, or AEI) to research gravitational waves. Following a brief tenure of about one year in Barcelona studying protoplanetary disk formation and evolution, I accepted a Senior Scientist position back at AEI in 2008. There, I secured funding and established my own “Gravitational Wave” research group, which I led until 2016. I obtained my German habilitation from the University of Potsdam in 2016, followed by a docent title at the Technical University of Berlin. This qualification entitled me to teach and formally supervise astronomy PhD candidates at the Zentrum für Astronomie und Astrophysik.