Toward Hodge theory with modulus
14:30:00 - 15:30:00
103 , Mathematics Research Center Building (ori. New Math. Bldg.)
Enriched Hodge structure (EHS) was introduced by Bloch and Srinivas as a generalization of Deligne\'s mixed Hodge structure (MHS). They attached an EHS to a proper (possibly singular) complex varieties. We introduce a further generalization of EHS which we call the mixed Hodge structures with modulus (MHSM). We attach a MHSM to a triple of a smooth projective variety and two effective divisors on it. As an application, we generalize Kato-Russell\'s construction of Albanese varieties with modulus to 1-motives.