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: 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: Pieces within this opera include the trio "Zitti, zitti" and the aria "Una voce poco fa." One character in this opera pretends to be the student Lindoro in order to deceive Dr. Bartolo. The title character of this opera repeatedly sings the phrase "della citta" in one aria. That title character aids Count Almaviva in wooing Rosina and sings the aria "Largo al Factotum." For 10 points, name this opera buffa about the servant Figaro, composed by Gioacchino Rossini.

SOLUTION: Fine Arts

PROBLEM: The narrator of this work recalls digging through the flooded Palace of Justice to recover 322 pages of a brief. One character in this work confuses the bad omen of birds with the good omen of trees when interpreting her sons dream. Another character in this novel writes weekly letters for seventeen years until her former lover returns them all unopened. Father Amador is distracted from its title event by the arrival of the bishop on a steamboat, and that event is sparked after Bayardo San Roman returns one character to her mother. The butcher Faustino is asked to sharpen two pairs of knives in this work; those knives are used by the Vicario twins after their sister Angela informs them that Santiago Nasar took her virginity. For 10 points, name this 1981 novella by Gabriel Garcia Marquez.

SOLUTION:
Literature