Mukund Rangamani 

Department of Physics and Astronomy, UC Davis, USA 

Imprints of the black hole singularity in field theory observables

I will review recent progress on understanding how the black hole singularity is encoded in thermal observables. Specifically, the non-perturbative high frequency part of the thermal spectral function carries the relevant information. For holographic CFTs, where the correlators can be computed using bulk semiclassical physics this information can be accessed using exact-WKB techniques.

Yang-Hui He 

London Institute for Mathematical Sciences and Merton College, Oxford, UK 

Calabi-Yau manifolds: from geometry, to physics, to AI-driven Discovery

Calabi-Yau geometries have been at the fruitful intersection between pure mathematics and theoretical physics. Over the last 8 years, they have also provided a rich playground for AI-driven explorations in scientific discovery, inspiring approaches to problems that arise in diverse areas ranging from field theory, to algebraic geometry, to number theory. We give an overview of this progress, with a perspective on how AI will be transformative in the mathematical sciences in three intertwined directions: theorem-proving, conjecture formulation, and Large Language Models.

Mohammad Mehdi Sheikh-Jabbari 

School of Physics, IPM, Iran 

GR from RG

We demonstrate how the effective action of a non-gravitating quantum field theory in the ultraviolet (UV) develops an Einstein-Hilbert term in the infrared (IR). Hence, we show how General Relativity (GR) is induced from the RG flow. To this end, we use the holographic AdS/CFT framework, while as we argue this framework is not an essential part of the main proposal and result. Our GR from RG proposal is not only providing a new perspective on the nature of GR and gravity, it also points to a conceptually new addition to the standard Wilsonian RG flow, also provides the mechanism to evade the Weinberg-Witten no-go theorem. The GR from RG proposal also suggests that one should revisit the search for a quantum theory of gravity: gravity is not a fundamental interaction and need not be quantized, the same way that one usually does not quantize fluid dynamics.

Mohsen Alishahiha 

School of Quantum Physics and Matter, IPM, Iran 

Beyond Krylov Complexity

We introduce Krylov-space memory cores as stationary, depth-resolved structures revealing how anomalous initial-state memory is organized in otherwise thermalizing nonintegrable systems. Stationary occupation profiles locate late-time probability along the Krylov chain, while complementary diagnostics characterize residual fluctuations, Gibbs mismatch, and persistent current fluctuations. Across weak thermalization, confinement-induced anomalous dynamics, and many-body scarring, anomalous states develop compact low-depth memory cores embedded within broader occupation halos. Reference states lack comparable signal strength and compactness.