This work is motivated by the recent evidence for a double-copy relationship between open- and closed-string amplitudes in Anti-de Sitter (AdS) space. At present, the evidence has the form of a double-copy relation for string-amplitude building blocks, which are combined using the multiple-polylogarithm (MPL) generating functions. These generate MPLs relevant for all-order AdS curvature corrections of four-point string amplitudes. In this work, we prove this building-block double copy using a new, noncommutative version of twisted de Rham theory. In flat space, the usual twisted de Rham theory is already known to be a natural framework to describe the Kawai-Lewellen-Tye (KLT) double-copy map from open- to closed-string amplitudes, in which the KLT kernel can be computed from the intersections of the open-string amplitude integration contours. We formulate twisted de Rham theory for noncommutative-ring-valued differential forms on complex manifolds and use it to derive the intersection number of two open-string contours, which are closed in the noncommutative twisted homology sense. The inverse of this intersection number is precisely the AdS double-copy kernel for the four-point open- and closed-string generating functions. (Based on https://doi.org/10.1007/JHEP04(2026)112)

Out-of-equilibrium systems are ubiquitous in nature. In contrast to their equilibrium counterparts, which are fairly well-understood using the framework of statistical mechanics, a description of them is challenging and is at the forefront of current-day research. Recently, important experimental and theoretical techniques have been developed, and advances have been made in both classical and quantum systems that are out-of-equilibrium. This conference aims to discuss the current trends in this broad area of research by bringing together experts, early-career researchers, postdocs, and students working in this field. Topics would include (but are not limited to) quantum many-body scars, driven and dissipative systems, disordered, noisy setups, stochastic processes, first-passage problems, and random walks. An important goal is to bring together the community of people working on the classical and quantum fronts and foster collaborations between them. https://www.imsc.res.in/current_trends_classical_and_quantum_out_of_equilibrium_systems_ctcqoes

We introduce a new method to obtain lower bounds for the 2k-th moment of a broad class of L-functions for all real k>0. In particular, our method applies to families of higher degree L-functions which were previously inaccessible. https://www.imsc.res.in/~anupdixit/IMSc-CMI-NT-seminar.html

Out-of-equilibrium systems are ubiquitous in nature. In contrast to their equilibrium counterparts, which are fairly well-understood using the framework of statistical mechanics, a description of them is challenging and is at the forefront of current-day research. Recently, important experimental and theoretical techniques have been developed, and advances have been made in both classical and quantum systems that are out-of-equilibrium. This conference aims to discuss the current trends in this broad area of research by bringing together experts, early-career researchers, postdocs, and students working in this field. Topics would include (but are not limited to) quantum many-body scars, driven and dissipative systems, disordered, noisy setups, stochastic processes, first-passage problems, and random walks. An important goal is to bring together the community of people working on the classical and quantum fronts and foster collaborations between them. https://www.imsc.res.in/current_trends_classical_and_quantum_out_of_equilibrium_systems_ctcqoes

Out-of-equilibrium systems are ubiquitous in nature. In contrast to their equilibrium counterparts, which are fairly well-understood using the framework of statistical mechanics, a description of them is challenging and is at the forefront of current-day research. Recently, important experimental and theoretical techniques have been developed, and advances have been made in both classical and quantum systems that are out-of-equilibrium. This conference aims to discuss the current trends in this broad area of research by bringing together experts, early-career researchers, postdocs, and students working in this field. Topics would include (but are not limited to) quantum many-body scars, driven and dissipative systems, disordered, noisy setups, stochastic processes, first-passage problems, and random walks. An important goal is to bring together the community of people working on the classical and quantum fronts and foster collaborations between them. https://www.imsc.res.in/current_trends_classical_and_quantum_out_of_equilibrium_systems_ctcqoes