In the steps of Galois

The work of Evariste Galois, known today as Galois Theory, gave rise to modern
mathematical thought with its characteristic abstraction and generality.
‘Modern thought’ makes reference to a movement whose characteristic was a
break with tradition, a new self-criticism, and a trend toward abstraction and
formal means of expression. Evariste Galois was involved in this movement as a
mathematician, as well as by his uncompromising social and political
commitments. Galois Theory is essentially a dynamical theory that has and
continues to evolve because of how it penetrates throughout the entirety of
mathematical thought. Its force is due to its deeply critical mind and its
interdisciplinary, functoral conception of mathematics. This book offers to a
wider public the proceedings of the “Evariste Galois Bicentenary Meetings”. It
presents various views on GT for different domains of the mathematical corpus,
both for those linked to the 19 th century and those linked to the 20th
century. The reader will observe that two principle orientations emerge,
synchronically, from these analysis: that of algebraic geometry and that of
logic. There are thus two directions in which we can look for Galois’ Legacy.