December 7 | EPFL Graph Search

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43 BC – Marcus Tullius Cicero is assassinated in Formia on orders of Marcus Antonius. 574 – Byzantine Emperor Justin II, suffering recurring seizures of insanity, adopts his general Tiberius and proclaims him as Caesar. 927 – The Sajid emir of Adharbayjan, Yusuf ibn Abi'l-Saj is defeated and captured by the Qarmatians near Kufa. 1703 – The Great Storm of 1703, the greatest windstorm ever recorded in the southern part of Great Britain, makes landfall. Winds gust up to 120 mph, and 9,000 people die. 1724 – Tumult of Thorn: Religious unrest is followed by the execution of nine Protestant citizens and the mayor of Thorn (Toruń) by Polish authorities. 1732 – The Royal Opera House opens at Covent Garden, London, England. 1776 – Gilbert du Motier, Marquis de Lafayette, arranges to enter the American military as a major general. 1787 – Delaware becomes the first state to ratify the United States Constitution. 1837 – The Battle of Montgomery's Tavern, the only battle of the Upper Canada Rebellion, takes place in Toronto, where the rebels are quickly defeated. 1842 – First concert of the New York Philharmonic, founded by Ureli Corelli Hill. 1904 – Comparative fuel trials begin between warships and : Spiteful was the first warship powered solely by fuel oil, and the trials led to the obsolescence of coal in ships of the Royal Navy. 1917 – World War I: The United States declares war on Austria-Hungary. 1922 – The Parliament of Northern Ireland votes to remain a part of the United Kingdom and not unify with Southern Ireland. 1930 – W1XAV in Boston, Massachusetts telecasts video from the CBS radio orchestra program, The Fox Trappers. The telecast also includes the first television advertisement in the United States, for I.J. Fox Furriers, which also sponsored the radio show. 1932 – German-born Swiss physicist Albert Einstein is granted an American visa. 1936 – Australian cricketer Jack Fingleton becomes the first player to score centuries in four consecutive Test innings.

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MATH-510: Modern algebraic geometry

The aim of this course is to learn the basics of the modern scheme theoretic language of algebraic geometry.

December 8

395 – Later Yan is defeated by its former vassal Northern Wei at the Battle of Canhe Slope. 757 – The poet Du Fu returns to Chang'an as a member of Emperor Xuanzong's court, after having escaped the city during the An Lushan Rebellion. 877 – Louis the Stammerer (son of Charles the Bald) is crowned king of the West Frankish Kingdom at Compiègne. 1504 – Ahmad ibn Abi Jum'ah writes his Oran fatwa, arguing for the relaxation of Islamic law requirements for the forcibly converted Muslims in Spain.

1892

In Samoa, this was the only leap year spanned to 367 days as July 4 repeated. This means that the International Date Line was drawn from the east of the country to go west. January 1 – Ellis Island begins accommodating immigrants to the United States. February 1 – The historic Enterprise Bar and Grill is established in Rico, Colorado. February 27 – Rudolf Diesel applies for a patent, on his compression ignition engine (the Diesel engine). February 29 – St. Petersburg, Florida is incorporated as a town.

December 7

Covers the definition and properties of multilinear forms, emphasizing linearity and applications in mathematics.

Covers the Factorisation QR theorem and the Gram-Schmidt method for orthonormal bases.

Covers injective modules, Ox-modules, and their relevance in algebraic structures, emphasizing their importance in resolving acyclic resolutions and computing cohomology.