Source: The post on the Issues with UAPA has been created based on the article “J&K High Court underlines that criticism of a government can’t be called a terrorist act” published in “Indian Express” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 3 Internal Security – Security challenges and their management in border areas… Continue reading On the Issues with UAPA – J&K High Court underlines that criticism of a government can’t be called a terrorist act
Transgender Inclusion in Armed forces – How the armed forces can be prepared for transgender personnel
Source: The post on Transgender Inclusion in Armed forces, has been created on the article “How the armed forces can be prepared for transgender personnel” published in “The Hindu” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 2- Governance- mechanisms, laws, institutions and bodies constituted for the protection and betterment of these vulnerable sections.… Continue reading Transgender Inclusion in Armed forces – How the armed forces can be prepared for transgender personnel
On Fraudulent Digital Lending – RBI, loan scammers and financial literacy
Source: The post on Fraudulent Digital Lending has been created based on the article “RBI, loan scammers and financial literacy” published in “Indian Express” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 3 Indian Economy – Indian Economy and issues relating to mobilization of resources. GS Paper 3 Internal Security – Basics of cyber… Continue reading On Fraudulent Digital Lending – RBI, loan scammers and financial literacy
On Domicile-based Private Sector Reservation – Parochial law
Source: The post on Domicile-based Private Sector Reservation has been created based on the article “Parochial law” published in “The Hindu” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 2 Indian Polity – Indian Constitution. GS Paper 1 Indian Society – Regionalism. News: The article discusses the reasoning provided by the Punjab and Haryana… Continue reading On Domicile-based Private Sector Reservation – Parochial law
On the Impact of Climate Change on Health – Recognising the impact of climate change on health
Source: The post on Impact of climate change on health, has been created on the article “Recognising the impact of climate change on health” published in “The Hindu” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 3 Environment – Climate change News: The article discusses how climate change negatively impacts health in India, emphasizing… Continue reading On the Impact of Climate Change on Health – Recognising the impact of climate change on health
On UNEP’s Emissions Gap Report 2023 – Alarming countdown- All nations must strive for net zero carbon emissions
Source: The post on UNEP’s Emissions Gap Report 2023 has been created on the article “Alarming countdown – All nations must strive for net zero carbon emissions” published in “The Hindu” on 22nd November 2023. UPSC Syllabus Topic: GS Paper 3 Environment – Climate change. News: The article discusses the recent United Nations Emissions Gap… Continue reading On UNEP’s Emissions Gap Report 2023 – Alarming countdown- All nations must strive for net zero carbon emissions
Operation Karuna
Source– This post is based on the article “India launches ‘Operation Karuna’ to assist cyclone-hit Myanmar” published in “The Hindu” on 18th May 2023. Why in the News? India launched ‘Operation Karuna’ to assist Myanmar which has been devastated by Cyclone Mocha. What is Operation Karuna? 1. India has launched “Operation Karuna” to provide humanitarian… Continue reading Operation Karuna
Source– This post is based on the article “Meet the Langlands Program, the world’s biggest maths project | Explained” published in “The Hindu” on November 21, 2023.
Why in the News?
Langlands Program provides a beautifully intricate set of connections between various areas of mathematics, pointing the way toward novel solutions for old problems in mathematics.
What is the Langlands Program?
| Aspect | Details |
| What is it? | 1. It is the world’s biggest maths project and can be likened to building bridges across mathematical cultures with different objects and languages. 2. It is named after Robert Langlands, a mathematician at the Institute for Advanced Study in Princeton. 3. In 2018, he was awarded the Abel Prize for “his visionary program connecting representation theory to number theory” |
| Objective | To find connections between two far-flung areas of mathematics – number theory and harmonic analysis. – It seeks to do this by connecting every Galois group with automorphic functions, allowing mathematicians to investigate polynomial equations using tools from calculus. |
| Initiation | 1967 |
| Significance of the program | 1. Solving old Maths problems– In 1994, Andrew Wiles and Richard Taylor applied Langlands’ conjectures to prove Fermat’s last theorem. 2. Creating new functions– It can help mathematicians create new automorphic functions from preexisting ones. Such efforts could be crucial to prove the Ramanujan conjectures (speculations), many of which remain unsolved. 3. Can evolve into new fields of mathematics– For example, Geometric Langlands. It investigates connections between algebraic geometry and representation theory. 4. Multidisciplinary significance– Mathematicians have suggested connections between Geometric Langlands and physics, particularly for studying electromagnetic waves. |
Note-
1. Number theory: It is the arithmetic study of numbers and the relationships between them. For example, the pythagoras theorem.
2. Harmonic analysis: It is interested in the study of periodic phenomena. Unlike number theorists, who deal with discrete arithmetic’s (like integers), harmonic analysts deal with mathematical objects more continuous in nature (like waves).
3. Galois group: In 1832, mathematician Évariste Galois concluded that it is impossible to have a general formula to find the precise roots of polynomial equations and instead suggested focusing on symmetries between roots as an alternate route. Galois group is a collection of such symmetries of the roots of a polynomial equation.
4. Automorphic functions: Functions that turn back into themselves when the variables are changed by some process are called automorphic functions. The sine function is a simple example.
UPSC Syllabus- Science & Technology
The OECD report on climate finance
Source– This post is based on the article “The OECD Report on Climate Finance” published in “The Hindu” on 21 November 2023. Why in the News? The Organisation for Economic Cooperation and Development (OECD) has published a new assessment report on climate finance ahead of the UN climate summit (COP28) in Dubai, UAE. What is… Continue reading The OECD report on climate finance
SATHEE Portal: To encourage use of online coaching platform
Source: The post is based on the article “SATHEE: Ministry of Education asks States to encourage use of online coaching platform” published in “The Hindu” on 22nd November 2023 Why in the News? The Ministry of Education has asked States to encourage aspirants to utilize the newly launched portal for exam preparation named SATHEE. What… Continue reading SATHEE Portal: To encourage use of online coaching platform
