Source: The post is based on the article “AGNI Initiative to Promote Innovations by Ayurveda Practitioners” published in “PIB” on 23rd November 2023 Why in the News? The Central Council for Research in Ayurveda Sciences (CCRAS) has launched the Ayurveda Gyan Naipunya Initiative (AGNI). What is the AGNI Initiative? Specifications Details Launched by Central Council… Continue reading AGNI Initiative to Promote Innovations by Ayurveda Practitioners
Tag: 9pm Daily Factly
International Tropical Timber Organisation (ITTO)
Source: The post is based on the article “International Tropical Timber Organisation (ITTO)” published in “Down To Earth” on 21st November 2023. Why in the News? The 59th International Tropical Timber Council (ITTC) being held in Thailand recently concluded. What is the International Tropical Timber Council (ITTC)? International Tropical Timber Council (ITTC) is the governing… Continue reading International Tropical Timber Organisation (ITTO)
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
Draft Mineral Auction Rules,2023: Single bidder allowed in second attempt
Source: The post is based on the article “Draft Mineral Auction Rules,2023: Single bidder allowed in second attempt” published in “Business Standard” on 22nd November 2023 Why in the News? Government of India has released the Draft Mineral (Auction) Second Amendment Rules, 2023. What are the key provisions of Draft Mineral(Auction) Second Amendment Rules, 2023?… Continue reading Draft Mineral Auction Rules,2023: Single bidder allowed in second attempt
Gambusia fish remain popular to beat mosquitoes
Source: The post is based on the article “Gambusia fish remain popular to beat mosquitoes” published in “The Hindu” on 22nd November 2023 Why in the News? Recently, various government and non-governmental organizations in Andhra Pradesh, Odisha, and Punjab have released mosquitofish into local water bodies to address the problem of mosquitoes. What is Mosquitofish? … Continue reading Gambusia fish remain popular to beat mosquitoes
Exercise VAJRA PRAHAR: INDIA-USA JOINT EXERCISE
Source: The post is based on the article “Exercise VAJRA PRAHAR: INDIA-USA JOINT EXERCISE” published in “PIB” on 22nd November 2023 Why in the News? The 14th Edition of the Exercise “VAJRA PRAHAR” has started at Umroi, Meghalaya. What is Exercise VAJRA PRAHAR? Specifications Details What is it It is a joint exercise between Indian… Continue reading Exercise VAJRA PRAHAR: INDIA-USA JOINT EXERCISE
PARAKH conducts State Educational Achievement Survey 2023
Source: The post is based on the article “State Educational Achievement Survey 2023 – PARAKH successfully conducted ” published in “PIB” on 21st November 2023. Why in the News? PARAKH has conducted the State Educational Achievement Survey 2023. What is the State Educational Achievement Survey 2023? Specifications Details Conducted by PARAKH Aim To assess the… Continue reading PARAKH conducts State Educational Achievement Survey 2023
