3 papers
math.AG2025
Motivic Mirror Symmetry for Character Stacks
Lucas de Amorin
We propose a motivic version of T. Hausel and M. Thaddeus' Topological Mirror Symmetry for character stacks associated with arbitrary semisimple groups, which is an analogue of F.…
math.AG2025
On the motive of quotients of induced actions
Lucas de Amorin
We explore computational tools that allow to compute the class on the Grothendieck ring of varieties of finite cyclic quotients in some interesting examples. As an main application…
math.AG2024
Counting stringy points on a family of character varieties
Lucas de Amorin, Martin Mereb
We provided explicit formulas for the number of stringy points over finite fields of parabolic type A character varieties with generic semisimple monodromy. This leads to formulas…