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Robert Langlands

Robert Phelan Langlands, is an American-Canadian mathematician. He is best known as the founder of the Langlands program, a vast web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received the 2018 Abel Prize, he is an emeritus professor and occupies Albert Einstein's office at the Institute for Advanced Study in Princeton. Langlands was born in New Westminster, British Columbia, Canada, in 1936. In 1945 he moved to White Rock, near the US border, where his parents had a shop selling building materials, he graduated from Semiahmoo Secondary School and started enrolling at the University of British Columbia at the age of 16, receiving his undergraduate degree in 1957. He went to Yale University where he received a Ph. D. in 1960. His first academic position was at Princeton University from 1960 to 1967, where he worked as an associate professor, he was a Miller Research Fellow at the University of California, Berkeley from 1964 to 1965 and between 1967 and 1972 he was a professor at Yale University.

He was appointed Hermann Weyl Professor at the Institute for Advanced Study in 1972, became professor emeritus in January 2007. Langlands' Ph. D. thesis was on the analytical theory of Lie semigroups, but he soon moved into representation theory, adapting the methods of Harish-Chandra to the theory of automorphic forms. His first accomplishment in this field was a formula for the dimension of certain spaces of automorphic forms, in which particular types of Harish-Chandra's discrete series appeared, he next constructed an analytical theory of Eisenstein series for reductive groups of rank greater than one, thus extending work of Hans Maass, Walter Roelcke, Atle Selberg from the early 1950s for rank one groups such as SL. This amounted to describing in general terms the continuous spectra of arithmetic quotients, showing that all automorphic forms arise in terms of cusp forms and the residues of Eisenstein series induced from cusp forms on smaller subgroups; as a first application, he proved the Weil conjecture on Tamagawa numbers for the large class of arbitrary connected Chevalley groups defined over the rational numbers.

This had been known only in a few isolated cases and for certain classical groups where it could be shown by inductionAs a second application of this work, he was able to show meromorphic continuation for a large class of L-functions arising in the theory of automorphic forms, not known to have them. These occurred in the constant terms of Eisenstein series, meromorphicity as well as a weak functional equation were a consequence of functional equations for Eisenstein series; this work led in turn, in the winter of 1966–67, to the now well known conjectures making up what is called the Langlands program. Speaking, they propose a huge generalization of known examples of reciprocity, including classical class field theory, in which characters of local and arithmetic abelian Galois groups are identified with characters of local multiplicative groups and the idele quotient group, respectively; these conjectures were first posed in complete form in a famous letter to Weil, written in January 1967.

It was in this letter that he introduced what has since become known as the L-group and along with it, the notion of functoriality. The book by Hervé Jacquet and Langlands on GL presented a theory of automorphic forms for the general linear group GL, establishing among other things the Jacquet–Langlands correspondence showing that functoriality was capable of explaining precisely how automorphic forms for GL related to those for quaternion algebras; this book applied the adelic trace formula for quaternion algebras to do this. Subsequently, James Arthur, a student of Langlands while he was at Yale developed the trace formula for groups of higher rank; this has become a major tool in attacking functoriality in general, in particular has been applied to demonstrating that the Hasse–Weil zeta functions of certain Shimura varieties are among the L-functions arising from automorphic forms. The functoriality conjecture is far from proven, but a special case was the starting point of Andrew Wiles' attack on the Taniyama–Shimura conjecture and Fermat's last theorem.

In the mid-1980s Langlands turned his attention to physics the problems of percolation and conformal invariance. In 1995, Langlands started a collaboration with Bill Casselman at the University of British Columbia with the aim of posting nearly all of his writings—including publications, preprints, as well as selected correspondence—on the Internet; the correspondence includes a copy of the original letter to Weil. In recent years he has turned his attention back to automorphic forms, working in particular on a theme he calls `beyond endoscopy'. Langlands has received the 1996 Wolf Prize, the 2005 AMS Steele Prize, the 1980 Jeffery–Williams Prize, the 1988 NAS Award in Mathematics from the National Academy of Sciences, the 2006 Nemmers Prize in Mathematics, the 2007 Shaw Prize in Mathematical Sciences for his work on automorphic forms. In 2018 Langlands was awarded the Abel Prize for "his visionary program connecting representation theory to number theory.". He was elected a Fellow of the Royal Society of Canada in 1972 and a Fellow of

Chester Williams

Chester Mornay Williams was a South African rugby union player. He played as a winger for the South Africa national rugby union team from 1993 to 2000, most notably for the team that won the 1995 Rugby World Cup, hosted in South Africa, he was the only non-white player on the team. During the tournament he scored four tries for South Africa in its quarter-final match and appeared in the semi-final and final. Domestically he played rugby for the Western Province in the Currie Cup. After retiring, Williams pursued a career in coaching, including a spell with the South Africa national rugby sevens team, the Uganda national rugby union team, the University of the Western Cape, he was portrayed by McNeil Hendricks in the 2009 Clint Eastwood film Invictus, a biographical sports drama film about the events in South Africa before and during the 1995 Rugby World Cup, he helped to coach Matt Damon and other actors for the rugby scenes used in the film. Williams died from a suspected heart attack on 6 September 2019 at the age of 49.

Williams is best known as the star winger of the South Africa national Springbok team that won the 1995 Rugby World Cup against New Zealand and was nicknamed "The Black Pearl". Williams had to withdraw due to injury, he was called back into the squad and played in the quarter final, scoring four tries, followed by the semi-final and the final against New Zealand, which South Africa won 15–12. Williams was 1.74 metres tall with a playing weight of 84 kilograms. He was the first non-white player to be included in the Springboks squad since Errol Tobias and his uncle Avril Williams in the early 1980s; the selection of non-white players was not common in South Africa before 1992 because of the country's policy of apartheid, there were separate governing bodies for whites and coloureds. He made his debut for the Springboks at the age of 23 against Argentina on 13 November 1993 in Buenos Aires, a game that the Springboks went on to win 52–23 and in which he scored a try. Williams was on the Springboks team that won the 1995 Rugby World Cup, notably scoring four tries against Western Samoa in the quarter finals.

His Boks career, hampered by knee injuries in 1996 and 1997, ended with a 23–13 win against Wales on 26 November 2000 in Cardiff. In total he played scoring 14 tries and a total of 70 points, his honours included a Currie Cup win in 1999, with the Golden Lions, a Tri-Nations title in 1998 and the World Cup win in 1995. Domestically, Williams played rugby with the Western Province, appearing 63 times between 1991 and 1998, wearing shirt number 11, he went on to win the Currie Cup with the Golden Lions in 1999. In 2002, Williams released his controversial authorised biography titled "Chester", in which he claimed that he was shunned by some of his team mates in the 1995 Springbok squad and was called racist names by James Small, though he clarified, "When we were together as a team, the team-spirit was good. We partied together, we had fun together, we stuck by one another; those other things happened while we were playing against one another in the Currie Cup or domestic competitions. But that's in the past now.

We have all moved on and everybody's happy."Clint Eastwood directed Invictus, about the 1995 Rugby World Cup and how it helped South Africa heal after years of apartheid. It features many scenes involving Chester, portrayed by McNeil Hendricks, including his face on the side of an SAA aeroplane, it showed several scenes showing black children in South Africa idolising him, although author John Carlin has questioned the accuracy of this as Williams in fact identified as coloured rather than black. Carlin wrote that during the team's visit to a township, Mark Andrews had attracted more attention than Williams as he was able to speak Xhosa. Williams himself worked as one of the film's rugby coaches, alongside Dubai-based coach Rudolf de Wee, a childhood friend whom he recruited to the film. Williams and de Wee worked with the actors, including Matt Damon, in recreating the games depicted in the film. Williams was selected to carry the Olympic torch on behalf of South Africa on two occasions, the 2004 Summer Olympics in Athens, the 2016 Summer Olympics in Rio de Janeiro.

In 2010, Williams completed the Absa Cape Epic mountain bike stage race, joining several former Springbok Rugby players who have taken on the rugged challenge of the Untamed African MTB Race. Williams died on 6 September 2019, from a suspected heart attack, he was the fourth player from the 1995 world-cup-winning side to die, after Ruben Kruger, Joost van der Westhuizen, James Small, the last having died two months before Williams. In 2001 Williams was selected as the coach of the South African sevens team that won bronze at the 2002 Commonwealth Games and ended runners up in the World Sevens Series, he remained sevens coach until 2003. Despite having no experience at coaching the fifteen-man code at any senior level, Williams was mentioned as one of the possible successors to Springbok coach Rudolf Straeuli after he resigned in 2003, but the job was given to Jake White in 2004, he became coach of the Cats Super 12 team instead. He remained coach until July 2005 when he was fired after a series of poor results, when the Cats finished next-to-last in the 2005 super 12, achieving only one victory.

However, in 2006, he was brought back into the South African coaching ranks as the head coach of the national "A" side. In 2006, he spent a successful few months as coach of the Uganda national rugby union team, the Cranes, he was named as the new

2009 USA Sevens

The 2009 USA Sevens competition took place on February 14 and 15 at Petco Park in San Diego, California. It was the fourth Cup trophy in the 2008-09 IRB Sevens World Series; the USA Sevens is played annually as part of the IRB Sevens World Series for international rugby sevens. Argentina won the 2009 USA Sevens; this was the last edition of the USA Sevens to be held in San Diego. Starting with the 2010 edition, the event was moved to Sam Boyd Stadium near Las Vegas. Argentina Australia Canada England France Fiji Kenya Mexico New Zealand Samoa Scotland South Africa Japan Uruguay United States Wales Official site of tournament organizers USA Sevens on irb.com IRB Sevens World Series USA Sevens on MySpace

Stelio Belletti

Stelio Belletti is an Italian craftsman and entrepreneur and specialized in bicycle frame construction. He founded the brand Stelbel in 1973. At the end of World War II, at the age of 13, Stelio Belletti began working for his father Antenore Belletti in his workshop in via Giovanni Antonio Amadeo in the Ortica district of Milan, where they repaired and built tubular steel aircraft fuselages, they produced fuselages for some important aeronautical companies in Milan, working for the most part with the Società Italiana Ernesto Breda where his father, Antenore Belletti, apprenticed in the years before the war started. In the early years of working with his father, they receive important commissions from Fratelli Nardi and Caproni di Taliedo. In the 50s, they established a relationship with the newly founded Aviamilano owned by Mario Vietri, who commissions a variety of projects from Belletti; the projects were contracted through the engineer Stelio Frati, who commissioned projects from the Belletti workshop, the majority of which were prototypes.

One of the most important projects was the development of a fuselage for the F.8L Falco, a lightweight aircraft designed by Frati. They built all the fuselages for the P.19 Aircraft for Aviamilano and designed by the engineer Ermenegildo Preti. The Belletti Workshop, driven by the aviation industry, was one of the first in Italy to acquire TIG welding equipment from the American company Miller. Towards the end of the 50s, while continuing to work in the aviation industry, the Belletti Workshop began to establish important relationships in the motorcycle racing industry, working with Eng. Lino Tonti, building motorcycle frames for racing competitions; some of the first frames were built for Paton in Milan, who they continued to work with until 1973. Paton motorcycles with Belletti frames, or replicas of the same, are identified with the initials BL, as can be seen in the BL3-R model, still in production today. Starting in the 60s, other important brands such as Linto, Puch Frigerio, Guazzoni begin to commission the Belletti family to build prototypes and special motorcycle frames for racing.

One of the most significant achievements within the motorcycle industry dates back to 1967. That year, Mike Hailwood was to take part in the World Championship with a Honda 500 GP, but after the initial testing carried out that winter, the road racer began to complain about the performance of the frame. In 1967, the engineers at the Japanese company had been focused on developing the engine and decided not to make any further changes to the chassis. Referred by specialist Giuseppe Pattoni, Hailwood approached Stelio and Antenore Belletti as a private customer and commissioned them to construct a new chassis for his Honda 500 GP, they completed the tubular-steel double cradle frame in just 16 days. The Honda 500 GP motorcycle equipped with the new Belletti frame was used for the first time at the Mototemporada Romagnola, in the Rimini stage on May 14, 1967; the road racer won the race, breaking the winning streak of racer Giacomo Agostini who rode a MV Agusta. The motorcycle was used in the World Championship while testing the Hockenheim circuit, but Honda forbade the use of the motorcycle during the race and for all subsequent races.

In 1968, they began construction on a limited series of frames to equip the Gran Prix motorcycle Linto 500 GP. The Belletti workshop continued to work in the motorcycle industry until the early 70s. Stelio Belletti has been passionate about racing bicycles since he was a boy. Starting in the 70s, he began to race in amateur competitions with excellent results. Spurred by a dry-spell in his family’s workshop and the dissatisfaction he felt towards the most recent racing bicycle he had purchased, Stelio Belletti tried his hand at bicycle frame building, his results encouraged him to found the Stelbel brand in 1973. Having honed his TIG welding skills while working in the aviation industry, he became the first Italian frame builder to build TIG welded frames. In 1975, Stelio Belletti patented the first bicycle frame welded with TIG welding techniques in Italy and that same year produced the frames for the Polish national team, who went on to win the gold medal in the men’s team time trial race at the UCI Road World Championships in Mettet.

By the second half of the 70s, the Belletti workshop concentrated on the production of Stelbel bicycle frames, began to decrease their commitment in other areas of production. In the early 80s, for age reasons, his father Antenore left the company to Stelio, under his management the company hired additional employees. Stelio Belletti is recognized to have been on the forefront of bicycle frame construction, always pushing the boundaries and experimenting with new solutions, he remembers being one of the first manufacturers to make stainless steel frames. Belletti continued to work in his family's workshop until 1990. Over the following years, Belletti collaborated with other Italian brands producing TIG welded frames made with steel or aluminum tubing. Upon his retirement, Stelio Belletti has devoted his time to sports, participating in several cycling events, organizing some himself. Stelbel Antenore Belletti www.stelbel.it

I Want Your Love (film)

I Want Your Love is the title of both a 2010 short film and a 2012 feature-length film. Both films were written by Travis Mathews; the drama films both revolve around the friends and ex-lovers of Jesse Metzger, a gay man in his mid-thirties, forced to move back to his hometown from San Francisco due to financial reasons. The actors' own names, along with much of their real-life stories, were used for their characters in both films, which features graphic sexual scenes; the production of both films was aided by the gay pornographic studio NakedSword. This led to the full-length film being refused exemption from classification, which would have allowed it to screen at the Melbourne Queer Film Festival, a decision to which actor James Franco reacted negatively. Jesse Metzger as Jesse Brenden Gregory as Brenden Jesse and Brenden playfully negotiate their way toward having sex together, for the first time, on Metzger's last night in San Francisco before he returns to the Midwest. Jesse Metzger as Jesse a performance-arts director and the main character, who's forced to move back to his hometown Brontez Purnell as Brontez, a friend of Jesse's, who works at a clothing shop Ben Jasper as Ben, Jesse's ex-boyfriend, who works in advertising and stops by to say goodbye Keith McDonald as Keith, Jesse's friend and roommate Wayne Bumb as Wayne, Ferrin Solano as Ferrin, Wayne's boyfriend, who moves in with Wayne Jorge Rodolfo as Jorge, Wayne's friend, of whom Ferrin is jealous, but who joins Wayne and Ferrin for a threesome Peter Knegt as Peter, Jesse's one-night standOthers.

As he plans his move, his best friend Wayne is having his boyfriend Ferrin move in. The two have trouble acclimating through the movie, Ferrin is worried about Wayne's increasing interest in Jorge, a friend of Wayne's. Jesse discusses his fears about moving with his other roommate, who seems to always help Jesse by saying the right things. Meanwhile, Jesse is having trouble with his job, which involves creativity, a quality he is losing under all the pressure, he contacts his ex-boyfriend Ben to say goodbye. Ben is excited, goes shopping to impress Jesse, where he meets with an old friend, Brontez; the two chat and agree to meet in a goodbye party for Jesse, which Wayne had planned for that night. Jesse, despite having reminisced his love-making with Ben, Ben feel good about meeting each other, but upon meeting, they both realize their feelings are gone; that day, Ben calls Brontez to confirm seeing him at night in Jesse's party. At the party, Jesse does not show up and stays downstairs with Keith, leaving for the weekend.

The guests arrive. Ferrin suggests a threesome with Jorge, to which they both agree. During the sex, Jorge leaves the two lovers and they finish off alone. Meanwhile and Brontez flirt and have sex. Downstairs, Jesse lays down listening to music. Keith shows up; the two chat until their sexual tension reaches the point where they have sex, interrupted by Jesse himself, who tells Keith that this "isn't what he wants." In the morning, Ben picks up Jesse. On their way to the airport, Jesse laughs loudly, claiming he is, despite his fears, strangely excited. I Want; the short film was released in April 2010, with the cooperation of NakedSword, a gay porn studio, proceeded to be shown at a number of LGBT film festivals around the world. The full-length film was shown at a number of LGBT film festivals in 2012; the Australian Classification Board denied I Want Your Love festival exemption for the Sydney Mardi Gras Film Festival. The move has been controversial, with critics highlighting the fact that Donkey Love, a documentary about zoophilia in Colombia, was permitted to screen at the Sydney Underground Film Festival.

In 2013, actor James Franco spoke out in defence of the film, stating that the refusal to grant a festival exemption to the film was "hypocritical" and "an embarrassment". Official website I Want Your Love on IMDb I Want Your Love on IMDb

Sespe Wilderness

The Sespe Wilderness is a 219,700-acre wilderness area in the eastern Topatopa Mountains and southern Sierra Pelona Mountains, within the Los Padres National Forest, in Ventura County, Southern California. The wilderness area is located within the Ojai and Mt. Pinos ranger districts of the LPNF; the wilderness was created by the U. S. Congress as part of the Los Padres Condor Range and River Protection Act of 1992; the same legislation established the Chumash, Machesna Mountain and Silver Peak Wilderness areas. The Sespe Condor Sanctuary is within the Sespe Wilderness, it was established to promote the propagation and growth of the California condor, is closed to the public. The Sespe Wilderness is chaparral-covered terrain, with areas of California oak woodland and riparian habitats. A section of Sespe Creek flows through it. There are hiking trails and seasonal creeks, hot springs, rock formations, designated campsites in the wilderness area. Nearby wilderness areas of the southern Los Padres National Forest include the Matilija Wilderness and Chumash Wilderness.

The Dick Smith Wilderness is further to the northwest. Los Padres National Forest topics Protected areas of Ventura County, California