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Talk
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Hearing beyond the standard model with cosmic sources of Gravitational Waves
The experimental detection of gravitational waves (GWs) due to the merger of astrophysical objects like black holes and neutron stars is one of the biggest discoveries in physics. The GWs can also be sourced from several other cosmological phenomena, and their amplitudes and frequencies vary in a wide range. The detection of these gravitational waves can potentially probe fundamental physics beyond the Standard Model (BSM) of particle physics and cosmology. For example, inflation is associated with several sources of tensor perturbations during inflation and the ones generated during reheating and preheating. Each of these propagates as detectable Stochastic GW background (SGWB) signals. Associated with inflation is also the collapse of density fluctuations to form Primordial Black Holes (PBH), leaving signatures in induced GWs and non-gaussianities. Cosmological first-order Phase Transitions (PT) during which the universe transitions from a false vacuum to a true vacuum leads to bubbl...
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Hearing beyond the standard model with cosmic sources of Gravitational Waves
The experimental detection of gravitational waves (GWs) due to the merger of astrophysical objects like black holes and neutron stars is one of the biggest discoveries in physics. The GWs can also be sourced from several other cosmological phenomena, and their amplitudes and frequencies vary in a wide range. The detection of these gravitational waves can potentially probe fundamental physics beyond the Standard Model (BSM) of particle physics and cosmology. For example, inflation is associated with several sources of tensor perturbations during inflation and the ones generated during reheating and preheating. Each of these propagates as detectable Stochastic GW background (SGWB) signals. Associated with inflation is also the collapse of density fluctuations to form Primordial Black Holes (PBH), leaving signatures in induced GWs and non-gaussianities. Cosmological first-order Phase Transitions (PT) during which the universe transitions from a false vacuum to a true vacuum leads to bubbl...
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MathSpark 2024
Event Description: Tales of pyramids and spheres: speaking volumes of CavalieriAbstract: We will explore the computation of volume of interesting solids using simple geometrical ideas and dimensional arguments. We will start with the unassuming pyramid and we will explore how dimensional arguments and extreme case reasoning allows us to approach the volume of a truncated pyramid. If you have ever wondered about the formula for the cone volume, we will see this in action by building a paper model and solving a puzzle. Following this, we will extend this idea to the volume of a sphere using the ideas of Cavalieri and discover how it has connections with another peculiar solid, which goes by many names, but one is called the Steinmetz solid! Depending on audience interest, we can draw connections to Mamikon’s sweeping tangent theorem and its connection to Cavalieri congruenceAbout the Speaker: Kaushik Basu is an instructor in Mathematics and Physics at the Graduate School of Education, Un...
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MathSpark 2024
Event Description: Tales of pyramids and spheres: speaking volumes of CavalieriAbstract: We will explore the computation of volume of interesting solids using simple geometrical ideas and dimensional arguments. We will start with the unassuming pyramid and we will explore how dimensional arguments and extreme case reasoning allows us to approach the volume of a truncated pyramid. If you have ever wondered about the formula for the cone volume, we will see this in action by building a paper model and solving a puzzle. Following this, we will extend this idea to the volume of a sphere using the ideas of Cavalieri and discover how it has connections with another peculiar solid, which goes by many names, but one is called the Steinmetz solid! Depending on audience interest, we can draw connections to Mamikon’s sweeping tangent theorem and its connection to Cavalieri congruenceAbout the Speaker: Kaushik Basu is an instructor in Mathematics and Physics at the Graduate School of Education, Un...
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Indo-French workshop on Classical and quantum dynamics in out of equilibrium systems
Organized with support from CEFIPRA The idea of this Indo-French workshop is to gather specialists in the field of classical and quantum out-of-equilibrium dynamics and to initiate collaborative research programs, training programs and scientific exchanges between the two countries.Recently a joint Indo-French international research project (IRP) on "Classical and quantum dynamics in out of equilibrium systems" was proposed between several laboratories of theoretical physics in France and in India. CNRS has approved this project whose Principal Investigators are Satya Majumdar (LPTMS), Gregory Schehr (LPTHE), Gautam Mandal (TIFR) and Manas Kulkarni (ICTS). The goal of the CEFIPRA supported workshop is to bring together people within this Indo-French international research project (and people not involved directly in the project) so that they can identify areas of common interests leading to possible future collaborations.There is much interest on the French side, in CNRS as well ...
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Indo-French workshop on Classical and quantum dynamics in out of equilibrium systems
Organized with support from CEFIPRA The idea of this Indo-French workshop is to gather specialists in the field of classical and quantum out-of-equilibrium dynamics and to initiate collaborative research programs, training programs and scientific exchanges between the two countries.Recently a joint Indo-French international research project (IRP) on "Classical and quantum dynamics in out of equilibrium systems" was proposed between several laboratories of theoretical physics in France and in India. CNRS has approved this project whose Principal Investigators are Satya Majumdar (LPTMS), Gregory Schehr (LPTHE), Gautam Mandal (TIFR) and Manas Kulkarni (ICTS). The goal of the CEFIPRA supported workshop is to bring together people within this Indo-French international research project (and people not involved directly in the project) so that they can identify areas of common interests leading to possible future collaborations.There is much interest on the French side, in CNRS as well ...
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Combinatorial Methods in Enumerative Algebra
Many algebraic counting problems give rise to integer sequences that hold information which is best accessed by encoding these numbers in appropriate generating functions. Numerous classical zeta and L-functions testify to this principle: Dirichlet’s zeta function enumerates ideals of a number field; Witten’s zeta function counts representations of Lie groups; Hasse– Weil zeta functions encode the numbers of rational points of algebraic varieties over finite fields. Analytic and arithmetic properties of these zeta functions hold or are expected to hold, the key to a treasure trove of information about the underlying structures.Zeta functions of groups and rings are invaluable tools in asymptotic group theory and ring theory. Often, they admit Euler product decompositions, with rational local factors that reflect regularity of structure in the underlying data.We aim to bring together experts in the various relevant subject areas, including those in zeta functions of groups and rings and...
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Combinatorial Methods in Enumerative Algebra
Many algebraic counting problems give rise to integer sequences that hold information which is best accessed by encoding these numbers in appropriate generating functions. Numerous classical zeta and L-functions testify to this principle: Dirichlet’s zeta function enumerates ideals of a number field; Witten’s zeta function counts representations of Lie groups; Hasse– Weil zeta functions encode the numbers of rational points of algebraic varieties over finite fields. Analytic and arithmetic properties of these zeta functions hold or are expected to hold, the key to a treasure trove of information about the underlying structures.Zeta functions of groups and rings are invaluable tools in asymptotic group theory and ring theory. Often, they admit Euler product decompositions, with rational local factors that reflect regularity of structure in the underlying data.We aim to bring together experts in the various relevant subject areas, including those in zeta functions of groups and rings and...
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Quantum Many-Body Physics in the Age of Quantum Information
With the advent of modern noisy, intermediate-scale quantum (NISQ) devices, the synergy between quantum many-body physics and quantum information is stronger than ever. Quantum information concepts have led to the characterisation of novel quantum phases, both in and out of equilibrium, in many-body systems. Properties such as entanglement structure and information scrambling have provided new insights into the equilibrium and dynamical behavior of these systems. While NISQ devices are a stepping stone towards future fault-tolerant quantum computers, advancements in this direction are greatly benefiting from progress in both theoretical and experimental quantum physics. These include fundamental insights into the dynamics of quantum systems, whether isolated or influenced by environmental noise, and the classification of quantum materials essential for device platforms. Such understanding informs the potential of NISQ devices to discover exotic quantum states that could serve as resour...
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Quantum Many-Body Physics in the Age of Quantum Information
With the advent of modern noisy, intermediate-scale quantum (NISQ) devices, the synergy between quantum many-body physics and quantum information is stronger than ever. Quantum information concepts have led to the characterisation of novel quantum phases, both in and out of equilibrium, in many-body systems. Properties such as entanglement structure and information scrambling have provided new insights into the equilibrium and dynamical behavior of these systems. While NISQ devices are a stepping stone towards future fault-tolerant quantum computers, advancements in this direction are greatly benefiting from progress in both theoretical and experimental quantum physics. These include fundamental insights into the dynamics of quantum systems, whether isolated or influenced by environmental noise, and the classification of quantum materials essential for device platforms. Such understanding informs the potential of NISQ devices to discover exotic quantum states that could serve as resour...
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Moist convective dynamics of Monsoons
Cloud clusters cover a wide range of scales: from the turbulent cloud cluster that we observe in the sky with our naked eyes to the gigantic organized cloud bands such as Monsoons, The Inter-Tropical Convergence Zone (ITCZ), Cyclones, the Madden-Julian oscillation (MJO) etc. that satellites observe. On these different scales clouds either aggregate through their own local cloud-circulation feedbacks or sometimes they are seen to ride on top of vortices linked to waves and instabilities. Although the monsoon dynamics has been studied for a long time, how monsoon convection organizes on a variety of time-scales is an unresolved enigma. This program will be organized around this unresolved scientific direction.Topics covered will include:Geophysical fluid dynamics of moist flows: Intro to GFD, Shallow Water equations, Two-layer models, Moist dynamics on equatorial beta plane, Waves and Instabilities, Idealised modeling, parameterisation of precipitation in GFD models.Physics of convectiv...
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Moist convective dynamics of Monsoons
Cloud clusters cover a wide range of scales: from the turbulent cloud cluster that we observe in the sky with our naked eyes to the gigantic organized cloud bands such as Monsoons, The Inter-Tropical Convergence Zone (ITCZ), Cyclones, the Madden-Julian oscillation (MJO) etc. that satellites observe. On these different scales clouds either aggregate through their own local cloud-circulation feedbacks or sometimes they are seen to ride on top of vortices linked to waves and instabilities. Although the monsoon dynamics has been studied for a long time, how monsoon convection organizes on a variety of time-scales is an unresolved enigma. This program will be organized around this unresolved scientific direction.Topics covered will include:Geophysical fluid dynamics of moist flows: Intro to GFD, Shallow Water equations, Two-layer models, Moist dynamics on equatorial beta plane, Waves and Instabilities, Idealised modeling, parameterisation of precipitation in GFD models.Physics of convectiv...