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Explore the Grothendieck period conjecture and its application to 1-motives in this 53-minute lecture by Cristiana Bertolin from the University of Torino. Begin with an examination of period calculations and the dimension of the motivic Galois group for 1-motives. Delve into the application of Grothendieck's period conjecture to 1-motives and uncover its consequential implications. Prepare for the talk by reviewing recommended materials, including "Périodes de 1-motifs et transcendence" from the Journal of Number Theory and "Third kind elliptic integrals and 1-motives" from the Journal of Pure and Applied Algebra, which includes an appendix by M. Waldschmidt and a letter from Y. André.