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Math Grad Seminars - Ruslan Muslumov- Applying 19th-century Algebra to Ancient Problems of Geometry
Monday, 24. February 2020, 13:00 - 14:00

Applying 19th-century Algebra to Ancient Problems of Geometry

Ruslan Muslumov



Abstract: The Greek mathematicians were fascinated by geometrical constructions. Using only an unmarked ruler and a pair of compasses, they bisected angles, trisected line segments, and constructed squares with the same area as a given polygon. But there were three types of construction that defeated them:

1. Doubling a cube,

2. Trisecting an angle,

3. Squaring the circle.

These problems all date from the 4th-century B.C., and throughout the next two millennia valid constructions were sought without success.

I will try to sketch how the 19th-century hapless French mathematician Galois work is the fundamental tool to be able to give the proper answer to these questions. 



Date: Monday, February 24, 2020

Time: 13:00 

Place: TB130