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The goal of this online school and discussion meeting is to update students and researchers with the recent developments in Ultracold Trapped Atomic, Molecular and Ionic systems. The primary emphasis will be on experimental aspects. The unifying underlying theme is: control of quantum states. It is expected that the attendees will imbibe a significant amount of technical know-how from the School, in addition to the physical concepts driving the research. The suffixed Discussion Meeting will provide a platform to showcase some of the latest developments in the field.The lecture topics are categorized under four categories:1. Trapped ion quantum computing and simulation2. Rydberg systems3. Ultracold molecules and mixtures4. Emergent topics in AMO sciencesEligibility: We encourage young researchers and students (who have completed at least 1 year of MSc by May 2021) to participate in this program and to apply online.   Application start date: March 1, 2021.

Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics and mathematics but have also been instrumental in various technological advances. The purpose of the present meeting is to follow up on the recent developments in this field. The scope of the proposed online meeting is highly interdisciplinary and aims to bring together the recent works of mathematicians, theoretical physicists as well as experimental physicists working on different aspects of non-Hermitian Physics /Open Quantum Systems.. Broad topics /areas that will be included (but not restricted to) in this meeting are --Non- Hermitian/Pseudo-Hermitian quantum theories.Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress).Applications in Optics and Non-equilibrium statistical mechanics.Cavity-QED and circuit-QED systems (Hybrid Quantum Systems).PT-symmetric discrete systems with applications in condensed matter and photonics, ...

Non-Hermitian Systems / Open Quantum Systems are not only of fundamental interest in physics and mathematics but have also been instrumental in various technological advances. The purpose of the present meeting is to follow up on the recent developments in this field. The scope of the proposed online meeting is highly interdisciplinary and aims to bring together the recent works of mathematicians, theoretical physicists as well as experimental physicists working on different aspects of non-Hermitian Physics /Open Quantum Systems.. Broad topics /areas that will be included (but not restricted to) in this meeting are --Non- Hermitian/Pseudo-Hermitian quantum theories.Open quantum systems (recent theoretical developments, state-of-the-art numerical advances and experimental progress).Applications in Optics and Non-equilibrium statistical mechanics.Cavity-QED and circuit-QED systems (Hybrid Quantum Systems).PT-symmetric discrete systems with applications in condensed matter and photonics, ...

Due to the ongoing COVID pandemic,  the meeting will be conducted through Online Lectures. The second in a series of meetings focussing on the interface between hyperbolic geometry, probability and ergodic theory, this meeting will be on two topics.1. Percolation on general background geometries2. Invariant Random SubgroupsBernoulli percolation is a canonical model of random geometry. Although a lot of the attention has been devoted to percolation on Euclidean lattices, starting with the work  of Benjamini, Schramm and co-authors in the 1990s, tremendous progress has also been made in understanding percolation in different and more general background geometries. Following the new results uncovered by Hutchcroft and coauthors, there has been a revived interest on the subject in the recent years. Also, moving away from independence, level set percolation of the Gaussian free field has emerged as a particularly important and useful model of study. An invariant random subgroup (IRS) of a l...

Due to the ongoing COVID pandemic,  the meeting will be conducted through Online Lectures. The second in a series of meetings focussing on the interface between hyperbolic geometry, probability and ergodic theory, this meeting will be on two topics.1. Percolation on general background geometries2. Invariant Random SubgroupsBernoulli percolation is a canonical model of random geometry. Although a lot of the attention has been devoted to percolation on Euclidean lattices, starting with the work  of Benjamini, Schramm and co-authors in the 1990s, tremendous progress has also been made in understanding percolation in different and more general background geometries. Following the new results uncovered by Hutchcroft and coauthors, there has been a revived interest on the subject in the recent years. Also, moving away from independence, level set percolation of the Gaussian free field has emerged as a particularly important and useful model of study. An invariant random subgroup (IRS) of a l...

This Discussion Meeting is the third program in the series. Expert speakers from different scientific fields will present thematic lectures designed to benefit students and young researchers interested in pursuing research in the area of Homogenization. The thematic lectures will be followed by research talks highlighting the recent results in the thematic topics and related areas.Homogenization is a mathematical procedure to understand the multi-scale analysis of various phenomena modelled by partial differential equations (PDEs). It can be viewed as a process of understanding a heterogeneous media (where the heterogeneities are at the microscopic level like in composite materials) by a homogeneous media. Homogenization tremendous applications in various branches of engineering sciences like material science, porous media, study of vibrations of thin structures and composite materials to name a few. Mathematically, homogenization deals with the study of asymptotic analysis of the solu...

This Discussion Meeting is the third program in the series. Expert speakers from different scientific fields will present thematic lectures designed to benefit students and young researchers interested in pursuing research in the area of Homogenization. The thematic lectures will be followed by research talks highlighting the recent results in the thematic topics and related areas.Homogenization is a mathematical procedure to understand the multi-scale analysis of various phenomena modelled by partial differential equations (PDEs). It can be viewed as a process of understanding a heterogeneous media (where the heterogeneities are at the microscopic level like in composite materials) by a homogeneous media. Homogenization tremendous applications in various branches of engineering sciences like material science, porous media, study of vibrations of thin structures and composite materials to name a few. Mathematically, homogenization deals with the study of asymptotic analysis of the solu...

Duality phenomena are ubiquitous in mathematics, particularly in topology and algebra. Classical instances on the topology side include Poincaré duality and Alexander duality, which give a relation between homology and cohomology of spaces. These results have interesting consequences after localization, for example in rational homotopy theory. In stable homotopy theory (more precisely, in the category of spectra), Atiyah duality and Spanier Whitehead duality are analogous results. In the realm of algebraic geometry and commutative algebra, an outstanding example is Grothendieck's duality theory for schemes and its local analogue.While there is a plethora of dualities, there are also unifying perspectives that allow us to view them as different manifestations of the ‘same’ phenomenon. For example, Grothendieck duality in local algebra and Poincaré duality can both be seen as different avatars of a duality theorem for spectra, in the sense of homotopy theory. There are analogous connecti...

Duality phenomena are ubiquitous in mathematics, particularly in topology and algebra. Classical instances on the topology side include Poincaré duality and Alexander duality, which give a relation between homology and cohomology of spaces. These results have interesting consequences after localization, for example in rational homotopy theory. In stable homotopy theory (more precisely, in the category of spectra), Atiyah duality and Spanier Whitehead duality are analogous results. In the realm of algebraic geometry and commutative algebra, an outstanding example is Grothendieck's duality theory for schemes and its local analogue.While there is a plethora of dualities, there are also unifying perspectives that allow us to view them as different manifestations of the ‘same’ phenomenon. For example, Grothendieck duality in local algebra and Poincaré duality can both be seen as different avatars of a duality theorem for spectra, in the sense of homotopy theory. There are analogous connecti...

Due to the ongoing COVID-19 pandemic, the original program has been postponed. This mini program is a precursor to the original program.The goal of the second edition of the program ‘Nonperturbative and Numerical Approaches to Quantum Gravity, String Theory and Holography’ is to bring together theorists working in areas of lattice field theory, string theory and quantum gravity, to discuss the state of art nonperturbative methods and numerical approaches to tackle current and relevant research problems.The program has strong pedagogical component as it also aims to build a growing community of theoretical scientists in India, to engage more in nonperturbative field theories interconnecting string theory,  supersymmetric/superconformal field theories, quantum black holes, gravity, and holography.This program can be broadly divided into the following five topics.Lattice Supersymmetric Field TheoriesRecent developments in realizing 4d N = 4 supersymmetry on a lattice (including ideas on r...