The 3rd MSJ-SI

The Mathematical Society of Japan, Seasonal Institute

Development of Galois-Teichmüller Theory
and Anabelian Geometry

October 26 Tuesday, 16:00--16:50
J. Stix (MATCH, University Heidelberg)
On the passage from local to global in Grothendieck's section conjecture
The passage from local to global has a long tradition in number theory. The talk will introduce Grothendieck's section conjecture and discuss it regarding the passage from local to global. We will present results on Brauer-Manin obstructions for sections and the relation of the descent obstruction to sections of the fundamental exact sequence. The latter is joint work with David Harari.