TASK DEFINITION: In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.
PROBLEM: On the night before this battle, one side attempted to launch a sneak attack at Nairn whilst the other side was celebrating the birthday of its commander, while during the battle itself the losing commander's bodyguard supposedly shouted "Run, you Italian coward!". It followed an unsuccessful attempt to capture Stirling Castle on one side and the inability of General Hawley to secure a clearcut victory for the opposing side. The bayonet tactics of the victors were what made the difference in this battle which lasted less than an hour, perhaps thanks to George Murray no longer being in command of the Highland forces during it. The Duke of Cumberland had "See the Conquering Hero Comes" written in honor of his triumph in this battle. It followed Falkirk and was the final clash in the "Forty Five Rebellion". FTP, name this 1746 battle, the last fought on British soil, in which the Jacobites under Bonnie Prince Charlie were decisively defeated.

SOLUTION: History

PROBLEM: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

SOLUTION: Science

PROBLEM: Many of the title roles of this composer's operas were created by the soprano Hortense Schneider. The traveler Baron Gondremarck attempts to arrange a liaison with Metella in this man's first opera with a contemporary setting, La vie parisienne. His final opera is divided into three acts named "Olympia", "Antonia", and "Giulietta", the last of which opens with "Belle nuit, o nuit d'amour", a famous (*) barcarolle. The character of Public Opinion introduces his most famous operetta, a Christoph Willibald Gluck parody which closes with the "Galop Infernal", whose tune became closely associated with the can-can. For 10 points, name this French composer of the operas Tales of Hoffman and Orpheus in the Underworld.

SOLUTION:
Fine Arts