Time: 9h30, Wednesday, August 21, 2019,
Location: Room 611-612, Building A6, Institute of Mathematics
Abstract: Pairs of vector spaces V, V’ over fields k, k’ together with an isomorphism \iota after extension of scalars to some common bigger field, form an interesting tannakian category. It was introduced fifteen years ago in the speaker’s book on motives, in the context of Grothendieck’s period conjecture. Another interesting context is that of (arithmetic) connections, where V, V’ are solution spaces at two k-, k’-rational points, and   \iota  is parallel transport along a path.

We shall discuss this category, and outline these two contexts and their intersection, with a view toward transcendental number theory.