Sam Raskin at Yale University and his colleagues have proved the geometric Langlands conjectureYale University/Dan Renzetti A mathematical breakthrough made this year is so complex that other mathematicians struggled to understand it, but it has already led to progress in other areas of maths. In May, Sam Raskin at Yale University and his colleagues published a series of five papers, totalling more than 1000 pages, that proved the geometric Langlands conjecture, in a culmination of decades of work. The problem is actually a simpler formulation of an even grander mathematical project, the Langlands programme, which seeks to make… Source link
Author: Team_NationalNewsBrief
Spain’s 200-year-old holiday lottery “The Fat One” delivered a hefty prize again this year, with over $2.8 billion in prizes warbled out by school children and watched live around the world. The annual drawing for “El Gordo” took place on Sunday at Teatro Real, the country’s preeminent opera house in the capital Madrid.Unlike many lotteries, there is no single jackpot, and the winnings are distributed among thousands of people in via a complex system. Across the country, families, colleagues and friends often participate by pooling their money together to buy tickets.Employees celebrate that they have sold part one of the…
Getty ImagesMorrisons has apologised after customers have been unable to get discounts on their shopping ahead of Christmas after a problem with the More loyalty card.Some customers have also complained that their online orders have been cancelled.The supermarket says loyalty card and click and collect orders are mostly affected.”If More Card prices are not registering, we will apply a 10% discount to the customer’s entire shop,” a Morrisons spokesperson said.They added that some home deliveries may be arriving late today, and that click and collect customers should wait for an email before going to the stores.One customer told the BBC…
If the aftermath of the first widespread mRNA vaccine was not enough to deter the public, the government and the Centers for Disease Control and Prevention (CDC) partnered with Moderna to create a new DNA-altering vaccination for the bird flu. And here we go again – Moderna said that their most recent vaccine is specifically for this variant (2.3.4.4b) of the flu, which has not spread from person-to-person contact. The Science Translational Medicine published Moderna’s study of the vaccine in which they exposed ferrets to the virus. Moderna won a $176 million federal funding package back in JULY to develop…
At the 2024 AmFest in PHX AZ, President Donald Trump proclaimed in front of an electrified crowd that the “Golden Age of America is upon us,” suggesting a new era of prosperity and optimism under his leadership. He emphasized a strong stance on immigration, stating intentions to prevent the U.S. from becoming a “dumping ground” for other countries. Trump also promised to fulfill his campaign pledges with the motto “promises made, promises kept,” indicating a focus on policy follow-through. Additionally, he outlined plans for mass deportations and addressing issues like avoiding WW3 and the Panama Canal, reflecting his agenda for…
Blake Lively received support from “It Ends with Us” author Colleen Hoover following her sexual harassment lawsuit against the film’s director, Justin Baldoni.Lively filed a lawsuit against Baldoni on Friday, accusing him of engaging in sexual misconduct on the movie’s set. However, his attorney responded by calling Lively’s allegations “false.”Baldoni has since suffered a setback as the talent agency representing him dropped him, while a resurfaced interview from 2021 saw him admitting to having an “unhealthy” relationship with porn.Article continues below advertisementColleen Hoover Asks Blake Lively To ‘Never Change’Instagram Stories | Colleen HooverAfter news of Lively’s legal complaint against Baldoni…
The ISD warned it will take firm action against those who intend to engage in armed violence in Singapore or abroad. It was responding to CNA’s query last week on whether terrorist groups could take advantage of the current situation in Syria to expand their reach, including in Southeast Asia and Singapore. On Dec 8, rebels from the Hayat Tahrir al-Sham (HTS) took control of the capital Damascus and other important Syrian cities. After midnight, news emerged Assad had fled the country for Russia. The fall of Assad marked the beginning of the end of Syria’s 13-year conflict which claimed…
China slams move, warning that Philippines risks ‘arms race’ amid increased militarisation of South China Sea.The Philippines has announced plans to buy the United States’ Typhon missile system, triggering China to warn of an impending “arms race” in the Asia Pacific region. Philippine military chief Lieutenant-General Roy Galido said on Monday that the country would acquire the mid-range missile system, already deployed by the US army on its territory for annual joint military exercises, “for the interest of protecting our sovereignty”. China, which claims almost the entire South China Sea in defiance of international law and has deployed its navy…
Late this week, Dallas Cowboys superstar Micah Parsons made it clear he did not want any help from the Philadelphia Eagles on Sunday, even if it meant that his own team would be eliminated from playoff contention. All he wanted was for the Eagles to lose. He was a little more vulgar in his description of the situation, but his point was emphatic — his hatred of the Eagles meant more to him than seeing the Cowboys’ slim playoff hopes improve.Well, Parsons ended up getting his wish on Sunday and, by extension, saw his team’s playoff hopes officially get squashed. Thanks…
Opinions expressed by Entrepreneur contributors are their own. Running a business while nurturing a happy marriage is no small feat. Over the years, I’ve had the privilege of working with more than 300 married business owners, witnessing firsthand the unique challenges they face in juggling the demands of work and home life.These entrepreneurs, often thriving professionally, have shared profound lessons on strengthening relationships while pursuing ambitious goals. Their experiences have inspired me to uncover four essential truths every entrepreneur should know about balancing business success and fulfilling marriage.1. Success without connection is hollowMany business owners I have helped came to…