A comparison result on the Berkovich formal nearby cycles and applications
Speaker: Lê Quý Thường (VNU University of Science in Hanoi)

Time: Tuesday, April 9, from 2pm to 4pm (Hanoi time).

Venue: Offline at Room 301, Building A5, Institute of Mathematics combined with zoom

Abstract: We consider the l-adic integral identity conjecture in its most general version for special formal schemes via Berkovich’s formalism on the nearby vanishing cycle functors. Using recent advancements from Berkovich and Mieda’s works we shall provide a refinement of a comparison theorem of Berkovich in the conjecture’s setting, from which we give a sketch of proof of this conjecture. The full work where every detail is made clear is in progress.

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