3 papers
math.NT2026
A de Rham weight part of Serre's conjecture and generalized mod BGG decompositions
Martin Ortiz
We propose the use of de Rham cohomology of special fibers of Shimura varieties to formulate a geometric version of the weight part of Serre's conjecture. We conjecture that this f…
math.NT2026
Theta operators on Hodge type Shimura varieties
Martin Ortiz
We construct a new family of mod weight shifting differential operators on Hodge type Shimura varieties at hyperspecial level. First we construct basic theta operators, labelle…
math.NT2026
Theta operators and a generic entailment for
Martin Ortiz
We construct a new family of mod weight shifting differential operators on the Siegel threefold. In particular, we construct one operator which generalizes the classical theta…