Member Seminar Speaker: Jue Liu Title: Monotonicity of quasilocal mass for asymptotically flat Riemannian manifolds Abstract: The study of quasilocal mass in general relativity has a long history. In previous papers by many authors we have a deep understanding of the properties of quasilocal mass such as positivity, rigidity and asymptotics etc. In this talk I will focus […]
Swampland Seminar Speaker: Valerio De Luca (UPenn) Title: Recent developments on the tidal Love numbers of black holes Abstract: Tidal Love numbers describe the deformability of compact objects under the presence of external tidal perturbations, and are found to be exactly zero for black holes in pure General Relativity. This property is however fragile, since […]
https://youtu.be/Kt7n_0t6sgo General Relativity Seminar Speaker: Prahar Mitra (University of Cambridge) Title: New Phases of N=4 SYM Abstract: We construct new static solutions to gauged supergravity that, via the AdS/CFT correspondence, are dual to thermal phases in N=4 SYM at finite chemical potential. These solutions dominate the micro-canonical ensemble and are required to ultimately reproduce the microscopic entropy of AdS […]
Speaker: Mete Soner (Princeton University) Title: Synchronization in a Kuramoto Mean Field Game Abstract: Originally motivated by systems of chemical and biological oscillators, the classical Kuramoto model has found an amazing range of applications from neuroscience to Josephson junctions in superconductors, and has become a key mathematical model to describe self organization in complex systems. These autonomous oscillators are […]
Member Seminar Speaker: Max Wiesner Title: Quantum Gravity constraints beyond asymptotic regimes Abstract: Not every effective field theory that is consistent in the absence of gravity can be completed to a consistent theory of quantum gravity. The goal of the Swampland program is to find general criteria that distinguish effective field theories, that can be obtained […]
Quantum Matter Seminar Speaker: Andreas Bauer (Freie Universität Berlin) Title: Tensorial TQFT and disentangling modular Walker-Wang models Abstract: I will introduce simple "tensorial" definitions for many algebraic and categorical structures appearing in the classification of topological phases of matter. Such "tensorial TQFTs" will be defined as maps that associate tensors to geometric/topological objects of some […]
Member Seminar Speaker: Michael Simkin Title: Randomized algorithms in combinatorics Abstract: Randomized algorithms have been a computational workhorse for almost as long as there have been computers. Surprisingly, such algorithms can also be used to attack problems that are neither algorithmic nor probabilistic. Time permitting I will discuss the following combintorial examples: Enumerative combinatorics and the […]
Swampland Seminar Speaker: David Andriot (Annecy, LAPTH) Title: String theory scalar potentials and their critical points Abstract: Positive scalar potentials in string effective theories could provide an origin to Dark Energy, responsible for the accelerated expansion of our universe today or during inflation. It is thus crucial to characterize these scalar potentials, namely their slope, […]
https://youtu.be/teqIIXRJXd4 General Relativity Seminar Speaker: Jose Luis Jaramillo (Bourgogne U.) Title: Pseudospectrum and black hole quasinormal mode instability: an ultraviolet universality conjecture Abstract: Can we measure the ‘effective regularity’ of spacetime from the perturbation of quasi-normal mode (QNM) overtones? Black hole (BH) QNMs encode the resonant response of black holes under linear perturbations, their associated […]
https://youtu.be/ztk5TPYTKZA New Technologies in Mathematics Seminar Speaker: Jimmy Ba, University of Toronto Title: How to steer foundation models? Abstract: By conditioning on natural language instructions, foundation models and large language models (LLMs) have displayed impressive capabilities as general-purpose computers. However, task performance depends significantly on the quality of the prompt used to steer the model. […]
Speaker: Ning Su, University of Pisa Title: Conformal symmetry, Optimization algorithms and the Critical Phenomena Abstract: In the phase diagram of many substances, the critical points have emergent conformal symmetry and are described by conformal field theories. Traditionally, physical quantities near the critical point can be computed by perturbative field theory method, where conformal symmetry […]
Member Seminar Speaker: Juven Wang Title: Categorical Symmetry of the Standard Model from Gravitational Anomaly Abstract: In the Standard Model, the total "sterile right-handed" neutrino number n_{νR} is not equal to the family number Nf. The anomaly index (-Nf+n_{νR}) had been advocated to play an important role in our previous work on Cobordism and Deformation Class of […]