A non-abelian version of Deligne’s Fixed Part Theorem

Name: A non-abelian version of Deligne’s Fixed Part Theorem
Start: 2024-11-19T15:00:00+00:00
End: 2024-11-19T16:00:00+00:00
Location: Science Center 507

SEMINARS: HARVARD-MIT ALGEBRAIC GEOMETRY

When: November 19, 2024

3:00 pm - 4:00 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Hélène Esnault (Harvard University)

We prove a non-abelian version of Deligne’s Fix Part Theorem. It is a statement which is purely anchored in complex geometry. The reason for the consideration is a vaster program which aims at understanding some aspects of the monodromy-weight conjecture in unequal characteristic by ’tilting it’ to a complex situation for which we have the tools developed notably by Morihiko Saito and Takuro Mochizuki. This lecture focuses on a small part of it.