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The Play's Concept Imagine if One Day was set in Long Eaton. Now, take its sweeping, time-spanning love story, but make it platonic, and about two theatre-obsessed best mates. That’s the foundation for Jane Upton’s luminous, heart-exploding play, which catches Jess and Billy in a series of snapshots across their friendship. The Story Unfolds Beginning in the early 90s, during their school days, and then moving through their 20s, 30s and into their mid-40s, the play threads together teenage crushes, career decisions, breakups, marriages, births and children. Jess (Katie Redford) is an oversharer while Billy (Benedict Salter) has secrets. Their early years together pass through play rehearsals, parties, personal revelations and betrayals, but even in their lowest moments, the two are always pulled back to each other’s side. The Evolution of Friendship As their lives move in different directions, with Billy heading to London for drama school and later building a career as a high-flying agent, and Jess staying at home in a “suburban bubble” before eventually tiptoeing her way back into the creative scene as a playwright, they turn their noses up at the other’s choices. Still, in times of turmoil, they can’t help but pick up the phone or race across the country just to be there for their old friend. Their dialogue accurately captures people who know each other’s lives inside out. The Production Directed by Hannah Stone, the production shows friendship as something defining. Redford and Salter make their characters people we want to stay with across the decades. In fact, time here slips through our fingers. One moment they’re 15 in 1995, and Jess is getting advice from More! magazine; the next it is 2022, and a 42-year-old Billy is considering surrogacy for his next child. Abby Clarke’s design evokes nostalgia, with the back wall composed of white, Polaroid-inspired squares that shift from photographic outlines to mirrors. The Verdict With so much life to fit into 95 minutes, there are inevitable gaps in Billy and Jess’s stories. We could learn more about the structure of their families and the other relationships in their lives. But really, this is a play about the complicated, beautiful bond between two people. It leaves you desperate for more days with them. Where to Watch At Nottingham Playhouse until 12 June

The Europa League VictoryAston Villa capped off an impressive European campaign by defeating Freiburg 3-0 in the Europa League final, ending a 30-year trophy drought for the club. The victory marked Unai Emery's fifth success in the competition with three different teams, each containing 'villa' in their names. The Spanish manager, who was paraded on the shoulders of Emi Martínez at full time, emphasized that this triumph is just a platform for future success.The Celebration ChallengeWhile the team celebrates their historic victory with a parade in Birmingham, they face the immediate challenge of recovering in time for their crucial Premier League match against Manchester City. Players like Matty Cash acknowledged the need for celebration but also recognized the importance of the upcoming fixture. With Champions League qualification potentially at stake, Villa must quickly transition from party mode to competitive focus.The City TestAston Villa's match against Manchester City represents more than just a regular season finale. A loss could jeopardize their Champions League qualification if other results go against them. The article suggests that while Bournemouth and Brighton might hope Villa will be distracted by their celebrations, Emery's team is expected to maintain the self-discipline required to face one of the Premier League's best teams.Emery's European MasterclassUnai Emery continues to establish himself as Europe's premier cup specialist, adding another Europa League title to his impressive resume. His ability to navigate teams through European competitions has been remarkable, with this victory coming just months after also achieving promotion with Real Union in Spain. The article highlights his humility despite the success, framing the trophy as part of a broader progression for the club.The Aftermath and Looking AheadThe article concludes by emphasizing the significance of Villa's achievement in the context of their recent history. After a 30-year wait, the Europa League win represents a major milestone. However, the immediate focus shifts to maintaining momentum in the Premier League and building on this European success in the seasons to come.

OpenAI has reported a major advance in AI reasoning after its model successfully challenged an 80‑year‑old conjecture in discrete geometry, the planar unit distance problem first posed by Paul Erdős in 1946.OpenAI’s Model Cracks the 80‑Year‑Old Planar Unit Distance ConjectureThe conjecture suggested that the number of equal‑distance dot pairs on a plane grows only slightly faster than the number of dots.OpenAI's reasoning system generated a family of point arrangements that exceed Erdős’s proposed limit.The result was announced on X and confirmed in a companion paper co‑authored by mathematician Thomas Bloom.Quantifying the Breakthrough: No Monetary Figures, but Scientific SignificanceWhile the article provides no financial data, the achievement is described as a “milestone in AI mathematics” by Tim Gowers.The validation by experts underscores the credibility of AI‑generated proofs, contrasting with a prior, unverified claim from last year.Implications for AI‑Driven Mathematical ResearchThe model’s ability to explore unconventional solution paths highlights AI’s potential to augment human intuition.Researchers, including Andrew Rogoyski, note that AI is becoming a fundamental tool for future scientific inquiry.The breakthrough may accelerate AI involvement in other open problems across mathematics.What the Next Steps Could Mean for AI and MathematicsFurther collaboration between AI systems and mathematicians is expected to refine the new constructions and explore their consequences.OpenAI’s upcoming IPO could bring additional resources to expand its reasoning capabilities.The community anticipates more AI‑driven insights that could eventually resolve the broader Erdős problems.

A Historic Return: The Refugee Team's ItineraryAfghanistan's displaced female cricketers are set to return to the international stage with a tour of England beginning June 22. This initiative, organized by the England and Wales Cricket Board (ECB), brings together players who were previously contracted to the Afghanistan Cricket Board but were systematically excluded from sport and public life following the Taliban's return to power in 2021.Start Date: June 22Format: Twenty20 (T20) matchesKey Event: Attendance at the Women's T20 World Cup final at Lord's on July 5Support: Training opportunities and deepening connection to the global gameStrategic Milestones and Global ReachThe tour serves as a critical data point in the ongoing struggle for women's representation in sport. While the players have been playing domestic cricket in Australia, the lack of access to international competition highlights a significant gap in the International Cricket Council's (ICC) current regulatory framework, which requires member nations to support both men's and women's teams.The itinerary is not merely a series of matches but a strategic effort to reintegrate the players into the global cricket community. By featuring in T20 matches and attending the final at Lord's, the team aims to bridge the five-year gap in their professional careers and demonstrate their continued competitiveness on the world stage.Breaking Barriers: Sport as a Tool for InclusionThis tour carries profound cultural and sporting significance, acting as a testament to the resilience of Afghan women. The ECB has emphasized that the event represents a moment for cricket to stand for inclusion and the protection of women's participation in sport.The involvement of former Australian international Mel Jones, through her consultancy firm "It's Game On," underscores the professional infrastructure required to support such a complex transition. The players' repeated requests for the ICC to recognize them as a refugee team have finally borne fruit, validating their struggle for recognition and highlighting the urgent need for the sport's governing body to adapt its rules to protect displaced athletes.Future Outlook: Beyond the TourMel Jones has called for "sustained and meaningful action beyond this year," signaling that this tour is just the beginning of a longer journey. The success of this initiative could set a precedent for how international sports bodies handle displaced athletes, potentially leading to more structured pathways for refugee teams in the future.As the team prepares to compete, the cricketing world watches closely, hoping that this tour will not only provide the players with the opportunities they deserve but also catalyze a permanent shift in how sport addresses human rights and inclusion on a global scale.

Lead: A Manager’s Unusual CelebrationMikel Arteta chose a backyard barbecue over the live broadcast when Arsenal clinched the Premier League, describing the experience as "building a fire" while his family celebrated the historic triumph.Garden Fire and Family Joy: The Moment Arsenal Won the TitleArteta headed to the training ground to watch Manchester City’s draw at Bournemouth with his squad, but 20 minutes before kick‑off he returned home, unable to bear the tension. In his garden he lit a fire, barbecued, and heard his son Gabriel announce, “We’re champions, Daddy.” His wife and other children joined, creating a personal celebration separate from the players.Numbers That Matter: Breaking a 22‑Year DroughtFirst league title for Arsenal in 22 years.Three consecutive runners‑up finishes prior to this season.Arsenal’s historic comeback solidifies their place at the top of the Premier League table.Why It Changes Arsenal’s NarrativeThe victory underscores Arteta’s emphasis on perseverance, humility and resilience—values he says were as important off the pitch as on it. By confronting his own doubts about being “good enough,” Arteta set a tone of vulnerability that resonated with the squad, fostering a culture that could sustain future success.Looking Ahead: Champions League Ambitions and Squad OutlookWith Arsenal hopeful that Jurriën Timber will be fit for the upcoming Champions League final against Paris Saint‑Germain, and Mikel Merino back in training, Arteta’s next challenge is to translate domestic dominance into European glory. The manager’s focus remains on staying humble, curious, and goal‑oriented as the club prepares for the Budapest final.

The LeadWhen producers of the revived Baywatch series hit unexpected permitting roadblocks on Venice Beach, the incident quickly morphed into a political flashpoint, with opponents of Mayor Karen Bass branding Los Angeles “not film friendly” and using the controversy to sharpen their mayoral campaigns. The Baywatch Production Standoff on Venice BeachAfter receiving a $21 million state tax credit, the Baywatch team arrived in February to film on Venice Beach. Within four days, the County Beaches and Harbors Department barred the use of camera drones, night shooting, and even limited the sand area and parking options, forcing production to halt. Tax credit: $21 million Restrictions: no drones, no night shoots, limited sand and parking Production downtime: four days before a full stop Financial Stakes and Shooting‑Day MetricsThe Baywatch dispute arrived at a moment when the city was trying to reverse a long‑term decline in film activity. Industry loss: nearly 50 % drop in shooting days since 2018 (cited by challenger Nithya Raman) Recent rebound: 10.7 % increase in total productions Q4 2025 → Q1 2026 Feature‑film surge: 45 % rise in shooting days over the same period Political Fallout in the 2026 Los Angeles Mayoral RaceOpponents seized the Baywatch saga to question Bass’s leadership. Right‑wing challenger Spencer Pratt called the incident “political fecklessness,” while left‑leaning councilmember Nithya Raman highlighted the broader decline in shooting days. Bass responded by coordinating with the state coastal commission, FilmLA, and city council to clear the bureaucratic hurdles. What the Next Months Hold for LA’s Film PolicyMayor Bass announced a series of reforms: streamlined permitting across agencies, accelerated sound‑stage certification, waived fees for “microshoots,” and a six‑month pilot by FilmLA to cover permits for low‑impact productions. If these measures sustain the recent 10.7 % production uptick, they could become a cornerstone of Bass’s re‑election narrative, while challengers will likely continue to press for faster, more transparent reforms.

London will host a star‑studded all‑female Athlos athletics meeting on 18 September 2026, a key step in founder Alexis Ohanian's vision of an “F1 for track and field”.London to host the inaugural Athlos all‑female meetThe competition will be staged at StoneX Stadium in Barnet, a 10,500‑seat venue also used by Saracens rugby and the Shaftesbury Barnet Harriers. Top athletes such as 2023 100 m world champion Sha’Carri Richardson and Paris Olympic 200 m gold medallist Gabby Thomas are confirmed participants.Date: 18 September 2026Venue: StoneX Stadium, LondonKey athletes: Sha’Carri Richardson, Gabby Thomas, othersPrize money and equity model: $2.1 m pot and athlete stakesAthlos offers a total prize pool of $2.1 m (£1.5 m). Winners of individual events can earn up to $65,000, with an extra $25,000 for overall champions, meaning a dual‑city victor could pocket $155,000. In addition, competing athletes receive equity in the league, aligning their financial upside with the competition’s success.Prize pool: $2.1 mIndividual event win: $65,000Overall champion bonus: $25,000Potential total earnings per athlete (both cities): $155,000Potential shake‑up for athletics commercial landscapeOwned by Ohanian’s venture‑capital firm Seven Seven Six (assets of $900 m (£670 m)), Athlos introduces a commercial model rarely seen in track and field. By granting athletes equity and delivering high‑visibility events in global cities, the league aims to overcome the sport’s historic lack of profitability, contrasting with past failed attempts such as Michael Johnson’s Grand Slam Track series.What the next season could look like for AthlosOhanian envisions a season‑long, worldwide league with additional host cities beyond London and New York. Ongoing discussions with World Athletics and “great partners” suggest possible integration with the sport’s governing body, paving the way for a truly global athletics circuit.

Mauritania has turned to an unconventional counter‑terrorism tool: women trained in Islamic scholarship who work in schools, prisons and community centres to undermine extremist narratives. Since the Ministry of Islamic Affairs launched the mourchidates programme in 2021, the country has avoided the large‑scale attacks that have ravaged its Sahel neighbours. The State‑Backed Religious Guidance Model The mourchidates are certified by the state, receiving formal training in Quranic interpretation, Islamic jurisprudence and social counselling. Their role mirrors Morocco’s programme launched after the 2003 Casablanca bombings, but Mauritania has expanded their deployment to every region of the country. Training includes theological study and community‑engagement techniques. Guides operate under the Ministry of Islamic Affairs, ensuring official backing. They address both extremist ideology and the socio‑economic factors that fuel radicalisation. Prison as a Battleground for Ideas In Mauritanian prisons, mourchidates sit with detainees linked to Sahel armed groups, challenging the theological justifications for violence point‑by‑point. By offering alternative readings of Islamic texts, they create space for detainees to reconsider violent paths. Preventive Outreach in Communities Beyond prisons, the guides travel to schools, youth centres, mosques and markets, delivering lessons on tolerance, charity and accountability. Their presence aims to intercept radicalisation before it takes root, especially among unemployed youth vulnerable to extremist recruitment. Impact on Regional Stability While exact metrics are scarce, Mauritania’s relative calm compared with Mali, Burkina Faso and Niger is widely attributed to this holistic approach. Analysts cite the programme as a case study in combining intelligence, community trust and religious reform to blunt extremist growth. Future Outlook and Replicability Critics note limited resources and question whether the model can be exported to other Sahel states where state‑society trust is weaker. Nonetheless, the success of the mourchidates suggests that investing in credible, female religious leadership could become a cornerstone of non‑military counter‑terrorism strategies across the region.

The LeadChinese and Iranian companies are increasingly establishing economic footholds in Russian-occupied Ukrainian regions, particularly in Donetsk and Luhansk, despite international sanctions and Ukraine's territorial integrity concerns. This growing economic integration, described by analysts as "shadow integration," involves Chinese firms supplying construction equipment and telecommunications infrastructure while Iran integrates the occupied territories into its logistical chains.Chinese Companies Establish Economic PresenceIn November 2023, representatives of two Chinese companies signed a deal to supply stone-crushing machinery for construction projects in what they called the "People's Republic of Donetsk," a Russia-backed separatist statelet in southeastern Ukraine. The companies, identified as Zhongxin Heavy Industrial Machinery and Amma Construction Machinery, supplied equipment to the Karansky quarry in the southern Donetsk region, with the crushed stone being used for construction projects in Russia-occupied areas.According to the Eastern Human Rights Group (EHRG), a Ukraine-based think tank, at least 17 Chinese companies operate in the occupied areas, with almost 6,000 Chinese-made relay stations for cellphone connections installed there. Chinese firms are involved in mining, construction, telecommunications equipment supply, and financial services."As Russia integrates its power in the occupied areas and transfers politicians to occupation administrations, Chinese companies carry out another replacement, but in the economy," said Maksym Butchenko from the EHRG.The Economic Transformation of Occupied RegionsThe occupied regions' economy has undergone significant changes since 2014. Out of 94 coal mines that operated in Donetsk and Luhansk (collectively known as the Donbas) before the conflict, only five remain open. The remaining mines "completely reoriented towards working with China and Russia," according to Butchenko.Furthermore, the occupied regions' economy is "totally yuanised" as local businesses use Chinese electronic payment systems through Telegram channels that offer currency exchange and transfers. The yuan is now sold in 79 banks in the occupied areas, creating a financial ecosystem increasingly dependent on China."This is a threatening precedent from the viewpoint of international politics and law because this violates international agreements," Butchenko stated, calling China's approach "shadow integration."Iran's Strategic Economic PartnershipsMoscow reportedly encourages the occupied regions to develop ties with Iran, creating another layer of economic integration beyond China. Tehran buys grain and coal from the occupied territories and "integrates the economy of occupied Donbas into its own logistical chains created after decades of isolation," according to the EHRG.Donskiye Ugli, a Russian coal mining company operating "nationalized" mines in Donetsk and Luhansk, ships the fossil fuel to Iran, according to separatist official Andrey Chertkov. Additionally, local food producers in the occupied territories have begun supplying casein, a milk protein, to Iran."The Kremlin not only gives permission to Iranian companies to enter the occupied areas' market but also encourages them," Butchenko explained, highlighting Russia's active role in facilitating these economic partnerships.International Response and Future ImplicationsBeijing maintains its official position of supporting Ukraine's territorial integrity while calling the Russia-Ukraine war a "crisis." However, unofficially, Chinese companies have "almost captured the entire market in the occupied areas," according to Butchenko.Kyiv has sanctioned Chinese companies operating in the occupied regions, including Alibaba and the China National Petroleum Corporation, and urges Western nations to follow suit. Despite these sanctions, Chinese companies continue to operate, often offering lower prices and technical expertise that is difficult to replace."China is here for good," a business owner in Donetsk told Al Jazeera. "All new equipment here is Chinese from machine tools to ventilators." This growing economic presence, combined with Iran's increasing involvement, suggests that the economic integration of these occupied territories with China and Iran will continue to deepen, potentially creating long-term challenges for Ukraine's territorial integrity and for international efforts to isolate Russia economically.