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Marie‑Louise Eta will take the touchline for Union Berlin’s upcoming Bundesliga match against Wolfsburg, becoming the first woman to coach a men’s team in one of Europe’s top‑five leagues. The 34‑year‑old was promoted on an interim basis after the dismissal of Steffen Baumgart, who was sacked following a 3‑1 defeat to bottom‑placed Heidenheim.Union sit seven points clear of the relegation‑playoff zone with five games remaining, but a dismal run of two wins in 14 matches has left the club teetering near the drop‑zone. Club officials turned to Eta, citing her continuity and proven tactical acumen, to halt the slide.Eta’s appointment is the latest milestone in a rapid rise through Union’s ranks. In the 2023‑24 season she became the Bundesliga’s first female assistant manager under Nenad Bjelica, and earlier in 2024 she briefly commanded the men’s side, overseeing a win, a draw and a loss while Bjelica served a suspension. Her prior success with Union’s under‑19 men’s squad further cemented her reputation as a forward‑thinking coach.Speaking in a 2023 interview, Eta emphasized that she wants to “convince with quality and substance” rather than rely on tokenism. Former England women’s manager Sarina Wiegman hailed her as a “trailblazer”, noting that such progress reflects football’s broader societal shift toward gender equality.Germany is already seeing more women in senior coaching roles: Sabrina Wittmann leads third‑tier side FC Ingolstadt, while Corinne Diacre previously managed Ligue 2 club Clermont Foot in France. In England, Hannah Dingley made history as caretaker of Forest Green Rovers before moving to Manchester City’s academy.Eta’s current stint with the men’s team is expected to be short‑lived. She has already signed a contract to become head coach of Union Berlin’s women’s side next season, where she will continue to develop talent in the Frauen‑Bundesliga. Nonetheless, her presence on the technical area this weekend offers a powerful visual for aspiring female coaches worldwide.Social media reactions have been mixed. While a minority of users resorted to sexist trolling, Union’s official X account defended Eta vigorously, dubbing her a “football goddess” and firing back at detractors. Eta, a former Champions League winner with Turbine Potsdam, said she draws motivation from messages sent by young women and girls she has inspired.The upcoming match will not only test Union Berlin’s fight against relegation but also serve as a symbolic moment in the ongoing effort to break the “grass ceiling” in professional football.

Tanya Khovanova has long been a leading voice in the world of recreational mathematics, authoring a popular blog and running the Number Gossip site where enthusiasts can inquire about any number.She now debuts her first book, Mathematical Puzzles and Curiosities, co‑written with fellow puzzle‑enthusiasts Ivo David and Yogev Shpilman. Published by World Scientific, the volume offers fresh challenges and inventive twists on classic problems.To give readers a taste, Khovanova selected three puzzles for the Guardian column:1. Battleships – As a naval admiral you must choose between sending a single vessel with a success probability of P % or two vessels each with a P/2 % chance, where the mission succeeds if at least one ship does. Which strategy maximises the odds?2. The Two Oracles – You face two respondents, Randie, who answers randomly, and Rando, who randomly decides to tell the truth or lie before each answer. Is there a method to distinguish them?3. Bad Maths – A student computes 5548 − 5489 as 59, claiming the “548” cancels out. He then experiments with a subtraction of the form XXYZ − XYZW (distinct digits) and observes the result is XW. How many digits in the new expression match those in the original calculation?Solutions to the trio were later posted online (update), but readers were urged to avoid spoilers until the scheduled reveal.Khovanova also reminds fans that she has been curating puzzles for the Guardian every other Monday since 2015 and welcomes new submissions via email.

Lake Erie, a vital source of freshwater for millions of people, has faced significant pollution challenges for decades. In the 1960s, the lakes and rivers around Cleveland were so polluted that they frequently caught on fire. While water quality has improved since then, the lake still struggles with poor water quality due to chemical runoff and pollution. The 2025 State of the Great Lakes report found that Lake Erie ranks poorly for pollution caused by chemical runoff and is consistently one of the top five most polluted lakes in the US. Over 5.5 billion gallons of freshwater are drawn from the lake daily to meet industrial and consumer needs, highlighting the importance of addressing these pollution issues. In response, the Cleveland Water Alliance, a non-profit organization, is working with over 300 companies, research institutions, and government agencies to develop clean water solutions for Lake Erie. The alliance has deployed hundreds of sensor buoys across the western section of the lake to observe and detect various water-related factors, including E. coli, algal blooms, and turbidity levels. Researchers at Case Western Reserve University have incubated research for a pilot program technology that can capture 90% of microplastics down to 50 microns in washing machines, preventing these materials from entering the lake. Other projects are recording solar radiation, dissolved oxygen levels, and water and air temperatures. Korean companies have also come to the area to test electrochemical water treatment methods in Lake Erie's water. The alliance's efforts aim to position Lake Erie as an open-air research facility, driving innovation and solutions to address the lake's pollution challenges. Despite these efforts, environmentalists say the challenges to cleaning up the lake are huge. A 40% reduction in phosphorus is needed to minimize blooms, with about 90% of phosphorus entering the western Lake Erie basin coming from agricultural runoff. The manure problem is also a growing concern, with the increasing number of livestock operations in the area contributing to pollution. The Cleveland Water Alliance's initiatives, such as the development of a system for making commercial-grade sodium hypochlorite on site, aim to promote technologies for wintertime monitoring of aquatic life activity and behavioral changes as well as levels of water turbidity. By leveraging data and innovation, stakeholders hope to improve the lake's water quality and mitigate the impacts of pollution.

On a recent weekday evening, a special bus tour whisked art lovers through over twelve galleries and museums that stayed open until midnight, offering a late‑night glimpse of the Abidjan Art Week programme.The after‑hours event, dubbed the Night of the Galleries, was first trialled in January 2024 alongside the Africa Cup of Nations – a tournament that Côte d’Ivoire both hosted and won – and has become a staple of the festival’s third edition, which ran from Tuesday to Sunday.Since its inception, the week has broadened its footprint, moving beyond the city centre to include venues such as the La Rotonde des Arts contemporary‑arts hub in the Plateau district and the Adama Toungara Museum of Contemporary Cultures (MuCAT) in the working‑class neighbourhood of Abobo.Local collectors are emerging in force. MuCAT has hosted the Africa Foto Fair each year since 2022, and the Marché des Arts du Spectacle d’Abidjan – the city’s answer to the Dakar Biennale – is set to launch its 14th edition later this month.A graffiti festival launched two years ago has transformed the perception of street art, with vibrant murals now adorning the façade of the La Pyramide building and several upscale hotels in Plateau.Organisers stress that the festival’s growth should be independent of external validation. This year’s roster featured artists from Cameroon, the Democratic Republic of the Congo and Mali, and the number of participating galleries more than doubled compared with previous editions.Founder Yacouba Konaté, who also directs La Rotonde des Arts, highlighted the festival’s commitment to accessibility, arguing that art should not be seen as an elite pastime.The opening tribute honoured Simone Guirandou‑N’Diaye, a pioneering Ivorian art historian whose legacy lives on through Galerie LouiSimone Guirandou, now run with her daughter Gazelle.Among the week’s highlights, MuCAT presented Murmures d’Archives, a quieter, archival‑focused exhibition that concluded with an artists’ workshop and a DJ set.In the upscale Cocody district, New York‑based artist Ouattara Watts staged a solo show at Galerie Cécile Fakhoury, drawing the Ivorian diaspora into dialogue with the local scene. Watts explained that his work aims to transcend borders, describing it as “a vision that goes beyond any map – it is the cosmos that I paint.”

The latest episode of Football Weekly released by The Guardian centers on Manchester City's ambition to close the gap with Arsenal in the Premier League race. While the segment is presented as a video discussion, the analysis underscores City’s tactical preparations and the significance of the forthcoming match for both clubs' title aspirations. Key points raised include City’s recent form, their squad depth, and the strategic adjustments aimed at neutralising Arsenal’s attacking threats. The conversation also touches on how a victory could reshape the league standings, potentially propelling City into a stronger position for the title run‑in. Overall, the program frames the clash as a pivotal moment in the season, with both teams poised to influence the championship narrative.

Justin Rose secured a joint‑third place at the 2026 Masters, ending the tournament two shots behind defending champion Rory McIlroy. The result marked Rose’s third top‑six finish in his last eight major appearances. After a heartbreaking playoff loss to McIlroy at Augusta in 2025, Rose entered Sunday’s final round with the lead on the back‑nine but ultimately carded a final‑round 70 following a stumble at the famed Amen Corner. Reflecting on his performance, Rose said, "In the last two years I’ve really re‑kicked and re‑energised my career. I now have a lot of belief that there’s plenty of runway ahead." The 45‑year‑old, who claimed a PGA Tour victory in February, believes his recent form positions him to compete for future major titles. Rose emphasized that the majors are the events that drive his preparation: "These are the tournaments I focus on, the ones that make me put in that extra mile to show up and stay in these great arenas." His record at Augusta is notable, with eight top‑10 finishes and two runner‑up finishes, underscoring his affinity for the course. Rose cited veterans such as Freddie Couples and Bernhard Langer as inspirations, noting that the layout of Augusta rewards deep course knowledge and a personal playing style. Englishman Tyrrell Hatton also made headlines, posting a spectacular final‑round 66 that included six birdies and an eagle, propelling him to a joint‑third finish – his best performance in a major to date. Hatton explained his approach: "I try not to treat majors any differently – I go out every day, every round, every shot, and give it my best. I’m looking at ways to fine‑tune my preparation, perhaps more putting early in the week, to feel even more ready." Now in his tenth Masters, Hatton highlighted his steady improvement, citing recent top‑10 finishes at the U.S. Open and a rise from a tied‑fourteenth to a tied‑ninth in the last three years at Augusta.

Riki Lindhome's 'Dead Inside' is a refreshing and emotionally involving comedy that chronicles her journey to become a mother. The show is a beautifully judged hour of entertainment, tackling topics such as pregnancy loss, IVF, and surrogacy with humor and sensitivity.Lindhome's modesty and unassuming approach make the show feel less like a typical autobiographical performance. She signs off most of her songs with a demure 'that's it,' and the production values are similarly understated. The show features witty and bittersweet numbers, including a parody of Disney princesses and a song asking 'will you be my bio-dad?'The show also touches on awareness-raising dimensions, including the challenges of surrogacy and the importance of transparency in the process. Lindhome's performance is compelling and persuasive, engaging the audience's heart, head, and funny bone.'Dead Inside' is a must-see comedy that will leave you entertained and moved. It is currently running at Soho theatre, London until 18 April.

Chala Chala Nav Bala (Maze Baal, 1943) marks the debut of Asha Bhosle, who entered the film world at ten years old. Paired with her sister Lata Mangeshkar, her bright falsetto captures the youthful innocence of the Marathi romance, foreshadowing the emotive style that would define her career. Aaiye Meherbaan (Howrah Bridge, 1958) showcases Bhosle’s rise during Hindi cinema’s golden age, thanks to her partnership with composer O.P. Nayyar. The song’s sultry vibrato and lush orchestration set the tone for the film’s noir atmosphere, establishing her as a leading‑lady playback voice. Aao Huzoor Tumko (Kismat, 1968) became a chart‑topping hit, featuring intricate vocal runs over a flamenco‑style guitar. Bhosle’s lower‑register chorus broke the conventional shrillness of female playback, while her nuanced phrasing added depth to the on‑screen heroine’s drunken allure. Dum Maro Dum (Hare Rama, Hare Krishna, 1971) stands out as her most successful crossover, later sampled by Western rappers. The track, produced with R.D. Burman—her future husband—blends psychedelic Beatles‑inspired grooves with Hindi lyrics, demonstrating her ability to bridge Eastern and Western pop sensibilities. Piya Tu Ab To Aaja (Caravan, 1971) pushes the fusion further into jazz‑cabaret territory, with bold horn sections and cinematic guitar reverb. Bhosle’s breathy, suggestive delivery sparked controversy, yet the performance remains a masterclass in balancing sensuality with technical agility. Chura Liya Hai Tumne Jo Dil Ko (Yaadon Ki Baaraat, 1973) epitomises the “masala” film soundtrack, merging drama, romance, and crime. Over a gentle guitar backdrop, Bhosle’s tender humming conveys quiet longing, contrasting with the film’s high‑octane narrative. In Ankhon Ki Masti (Umrao Jaan, 1981) sees Bhoske venture into Urdu ghazals with composer Khayyam. Her lower, huskier timbre—adjusted a half‑step down—highlights her continued artistic experimentation even as she approached fifty. Bow Down Mister (1991) illustrates her early 1990s foray into international collaborations, lending wordless, soaring vocals to Boy George’s post‑Culture Club project. The track transforms into a rave‑infused anthem, underscoring Bhosle’s versatility across genres. Radha Kaise Na Jale (Lagaan, 2001) pairs Bhosle with a young A.R. Rahman, reaffirming her status as an elder stateswoman of Indian music. The duet with Udit Narayan blends tabla and flute with powerful vocal runs, marrying traditional Hindustani scales to contemporary film scoring. The Way You Dream (2002) features an unexpected partnership with REM frontman Michael Stipe on the 1 Giant Leap project. The eight‑minute piece weaves tabla rhythms, subtle guitar, and a dramatic breakbeat, proving that Bhosle’s voice can seamlessly inhabit New Age and electronic soundscapes.

Rachel Zegler has hailed the accessibility of Evita's free balcony scene, which became a landmark moment for London sightseers during the show's run last summer. The scene, which featured Zegler performing 'Don't Cry for Me Argentina' from the balcony of the London Palladium to crowds gathered on the street below, was a groundbreaking moment in theatre. At the Olivier awards on Sunday night, Zegler delivered the song again – this time on the stage of the Royal Albert Hall – and took home the award for best actress in a musical. Host Nick Mohammed noted that Zegler had become 'a new landmark for London sightseers' during Evita's run, allowing people who hadn't bought a ticket to watch the performance live for free on a giant screen. Zegler described Evita's director, Jamie Lloyd, as a 'genius' for staging the scene in such a way, giving 'a piece of theatre, just in the street' to young people who may not be able to afford West End ticket prices. 'It's so beautiful that Jamie Lloyd made such an accessible moment of theatre for people to walk by and witness something really, really cool,' she said. The actor, whose musical films include West Side Story and Snow White, praised Londoners for making her feel welcome and described those who had waited outside to watch the balcony scene as being 'so giving with their energy and love'. Zegler also acknowledged the difficulty of replicating the balcony scene, but she and Andrew Lloyd Webber have spoken of their hope that Evita will transfer to Broadway. Evita picked up two awards from five nominations at the Olivier awards, with choreographer Fabian Aloise also recognised for his work. The show was beaten to the prize for best musical revival by Into the Woods at the Bridge theatre.