Colloquium abstracts

Takao Yamazaki
Tohoku University, Japan
March 14, 2019

Mixed Hodge structures with modulus and 1-motives:  We shall overview how the notion of modulus enables us to generalize many aspects of motive theory. One of the earliest examples can be seen in Laumon's generalization of the theory of Deligne 1-motives. We then explain our construction of modulus version of the mixed Hodge structures. As an application, we generalize Kato-Russell's construction of Albanese varieties with modulus to 1-motives. This is joint work with Ivorra.