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Endoscopic group information


In mathematics, endoscopic groups of reductive algebraic groups were introduced by Robert Langlands (1979, 1983) in his work on the stable trace formula.

Roughly speaking, an endoscopic group H of G is a quasi-split group whose L-group is the connected component of the centralizer of a semisimple element of the L-group of G.

In the stable trace formula, unstable orbital integrals on a group G correspond to stable orbital integrals on its endoscopic groups H. The relation between them is given by the fundamental lemma.

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Endoscopic group

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In mathematics, endoscopic groups of reductive algebraic groups were introduced by Robert Langlands (1979, 1983) in his work on the stable trace formula...

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Percutaneous endoscopic gastrostomy

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Percutaneous endoscopic gastrostomy (PEG) is an endoscopic medical procedure in which a tube (PEG tube) is passed into a patient's stomach through the...

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Functional endoscopic sinus surgery

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Functional endoscopic sinus surgery (FESS) is a procedure that is used to treat sinusitis and other conditions that affect the sinuses. Sinusitis is an...

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Orbital blowout fracture

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89% of the endoscopic group and 76% of the external group (NS). The endoscopic group had no significant complications. The external group had ectropions...

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Endoscopic third ventriculostomy

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Endoscopic third ventriculostomy (ETV) is a surgical procedure for treatment of hydrocephalus in which an opening is created in the floor of the third...

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Gastroenterology

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rigorous training in advanced endoscopic techniques including endoscopic retrograde cholangiopancreatography, endoscopic ultrasound-guided diagnostic and...

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Robert Langlands

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Märchen (PDF), Chelsea Publishing Company, 1979 Automorphic L-function Endoscopic group Geometric Langlands correspondence Jacquet–Langlands correspondence...

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Endoscopic mucosal resection

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Endoscopic mucosal resection is a technique used to remove cancerous or other abnormal lesions found in the digestive tract. It is one method of performing...

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Endoscopic carpal tunnel release

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Endoscopic carpal tunnel release (ECTR) refers to a method of performing carpal tunnel surgery using an endoscope or an arthroscopic device to provide...

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Lung cancer staging

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information which is obtained prior to surgery, for example by x-rays and endoscopic ultrasound, is called clinical staging and staging by surgery is known...

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Vessel harvesting

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incisions.[citation needed] The most minimally invasive technique is known as endoscopic vessel harvesting (EVH), a procedure that requires a single 2 cm incision...

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Deep gluteal syndrome

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resonance neurography, and diagnostic nerve blocks. Surgical treatment is an endoscopic sciatic nerve decompression. Posterior: the gluteus maximus Anterior:...

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Endoscopic ear surgery

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Endoscopic ear surgery (EES) is a minimally invasive alternative to traditional ear surgery and is defined as the use of the rigid endoscope, as opposed...

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Stent

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incontinence, potential displacement or infection, and limitations on subsequent endoscopic surgical options. On the other hand, temporary stents can be easily inserted...

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Eosinophilic esophagitis

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as may micro-abscesses and an expansion of the basal layer. Although endoscopic findings are helpful in identifying patients with EoE, they are not diagnostic...

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Esophageal cancer

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the esophagus. Endoscopic image of Barrett esophagus – a frequent precursor of esophageal adenocarcinoma Endoscopy and radial endoscopic ultrasound images...

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United Hospital Limited

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seeking treatment at United Hospital on 9 September 2018. The first ever endoscopic laser assisted surgery in Bangladesh was performed at United Hospital...

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Appendectomy

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Recent research has led to the development of natural orifice transluminal endoscopic surgery (NOTES); however, numerous difficulties need to be overcome before...

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Pancreatitis

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a nasogastric tube is placed in the stomach. A procedure known as an endoscopic retrograde cholangiopancreatography (ERCP) may be done to examine the...

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Dacryocystorhinostomy

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"traditional" technique.[citation needed] With the advent of nasal endoscopes, endoscopic dacryocystorhinostomy is becoming popular. In this procedure, a nasal...

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Ulcerative colitis

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of disease is defined by symptoms, objective markers of inflammation (endoscopic findings, blood tests), disease course, and the impact of the disease...

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Cholesteatoma

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groups, from infants through to the elderly. The peak incidence occurs in the second decade. Chronic suppurative otitis media Otic polyp Endoscopic ear...

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Note

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client-server, collaborative application owned by IBM Software Group Natural orifice transluminal endoscopic surgery (NOTES), a type of minimally invasive surgery...

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Urology

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surgical techniques, employing real-time ultrasound guidance, fiber-optic endoscopic equipment, and various lasers in the treatment of multiple benign and...

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Endoscopic foreign body retrieval

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Endoscopic foreign body retrieval refers to the removal of ingested objects from the esophagus, stomach and duodenum by endoscopic techniques. It does...

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Sciatic nerve

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endoscopy in a minimally invasive procedure to assess lesions of the nerve. Endoscopic treatment for sciatic nerve entrapment has been investigated in deep gluteal...

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Bariatric surgery

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adolescents remains under research, as of 2023. Revision weight loss surgery Endoscopic sleeve gastroplasty Schroeder R, Harrison TD, McGraw SL (January 2016)...

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