Pierre Deligne: Hidden symmetries of algebraic varieties

Abstract:
If a complex algebraic variety is defined by equations with rational coefficients, the set of its points whose coordinates are in , that is are algebraic numbers, carries an action of the Galois group Gal(/), the symmetry group of . This, and related symmetries, have a strong influence on the topology of complex algebraic varieties, and a mysterious connection with Hodge theory.

This lecture was given by the 2013 Abel Laurate Pierre Deligne at The University of Oslo, May 22, 2013 and was part of the Abel Prize Lectures in connection with the Abel Prize Week celebrations.

Program for the Abel Lectures 2013
1."Hidden symmetries of algebraic varieties" by Abel Laureate 2013, professor Pierre Deligne, Institute for Advanced Study, Princeton
2. "Life Over Finite Fields" by professor Nicholas Katz, Princeton University
3. "Mixed Hodge structures and the topology of algebraic varieties" by professor Claire Voisin, École Polytechnique and CNRS
4. "Algebraic geometry and the ongoing unification of mathematics", a science lecture by professor Ravi Vakil, Stanford University

Thumbnail photo: Heiko Junge/NTB scanpix