Program for Galois Night:
Tuesday October 11, Place: MC 107, 4 PM,
Speaker: Martin Pinsonnault, UWO
Title: Unsolvability by radicals of the quintic.
Abstract: The aim of the talk is to prove the unsolvability by radicals of the quintic (in fact of the general n-th degree equation for n> 4. That famous theorem was first proved by N. Abel and P. Ruffini around 1821. However, a complete understanding of solvability had to wait Evariste Galois and his introduction of group theory in a 1831 manuscript that was miraculously found by Liouville in 1843. We will present a proof of the Abel-Ruffini theorem, very close to Galois' own exposition, that only uses elementary properties of groups, rings, and fields as they are taught in a first course in abstract algebra."
As usual Pizza will be served after the talk.
There will be a second talk, on Tuesday, Oct 25, on Galois' 200th birthday!, at 4 PM:
Speaker: Masoud Khalkhali, UWO
Title: A topological proof of the Abel-Ruffini theorem on unsolvability by radicals of the quintic.
This year marks the 200th anniversary of the birth of Evariste Galois (October 25, 1811 – May 31, 1832). We are planing to celebrate this very important event in the whole history of mathematics with two Galois Nights! Martin Pinsonnault will deliver a talk on algebraic aspects of Galois's work. Next week, we shall have a second talk on geometric and topological aspects of Galoi's theory by Masoud Khalkhali.
Evariste Galois is undoubtedly the most romantic and most tragic figure among all mathematicians and perhaps all scientists. His tragic death at the age of 20 in a duel, the manuscript he wrote at the eve of his death, his revolutionary republican activities in the aftermath and turmoil of the French revolution, and his almost total rejection by scientific institutions of his time, all add to this image. His last words to his brother Alfred describe the tragedy of his life:
Ne pleure pas, Alfred ! J'ai besoin de tout mon courage pour mourir à vingt ans ! (Don't cry, Alfred! I need all my courage to die at twenty.)
But above all it is the power of his ideas, and his vision of mathematics as a conceptual enterprise that interests us here.
In France, the birthplace of Galois, they are celebrating his birth by holding a major
international conference is his honor. You can learn more about these events here and here.