Speaker: Ilia Zharkov
Date: 10:30 14/04/2023
Title:  Tropical Hodge conjecture for Abelian varieties.

Abstract: The classical Hodge conjecture states that for a smooth projective variety any rational 
(p,p)-class can be represented by an algebraic cycle. The first non-trivial case for abelian varieties
 is so called abelian varieties of Weil type of dimension 4 which possess primitive (2,2)-classes. 
I will describe the tropical analog of the conjecture in this case and an idea of M. Kontsevich from 
around 2010 of how one can try to disprove it.