Abstract, M. Harris, Jr. Colloquium

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Systematic construction of Galois groups

Prof. Michael Harris, Univ. Paris VII

Tuesday, Feb 15, 3:30, Vincent 16

Abstract: Galois theory was developed as a means of studying the roots of polynomial equations. Its results are very general but in practice one has trouble finding polynomial equations worth studying. Galois groups are provided most systematically by topological invariants of algebraic varieties. The Langlands conjectures single out especially interesting classes of Galois groups, whose properties can be studied by means of harmonic analysis as well as geometry.

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