Аннотация:
Irregular Hodge theory was initiated by Deligne in 1984,
with arithmetic motivations, to deal with Hodge properties in the
context of connections with irregular singularities. It also proves
useful for computing Hodge numbers of some classical motives. The
talk will explain the origin and motivations, the main examples in
exponential Hodge theory and, if time permits, examples of irregular
Hodge-Tate structures related to Fano toric manifolds.