In this talk, I will discuss the extreme (minimum and maximum) values of quadratic twists of modular L-functions associated with a normalized modular form of weight k, evaluated at a horizontal mesoscopic shift from the critical point. I will also discuss some potential arithmetic applications.

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

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

TBA