Parallel transport, transcendence, and the category of « bivector spaces »
Báo cáo viên: Yves André (Mathematics Institute of Jussieu)

Thời gian: 9h30, Thứ 4, 21/8/2019
Địa điểm: Phòng 611-612, Tòa A6, Viện Toán học
Tóm tắt: 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.

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