51 citations · 261 across the 27 of their papers we have counts for
30 papers
Moment map flow on real reductive Lie groups and GIT estimates
Christoph Böhm, Urs Hartl
A finite dimensional real vector space carrying an action of a real reductive group possesses a moment map and a stratification as defined by Kirwan and Ness. In this article we in…
Uniformizing the moduli stacks of global -Shtukas II
Urs Hartl, Yujie Xu
We show that the moduli spaces of bounded global -Shtukas with pairwise colliding legs admit -adic uniformization isomorphisms by Rapoport-Zink spaces. Here $\mathc…
Arithmetic Satake compactifications and algebraic Drinfeld modular forms
Urs Hartl, Chia-Fu Yu
In this article we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away fro…
Crystalline Chebotarëv density theorems
Urs Hartl, Ambrus Pal
Using the Tannakian formalism, we formulate conjectural analogs of Chebotarëv's Density Theorem for -isocrystals over a smooth geometrically irreducible variety defined over a f…
Category Of C-Motives Over Finite Fields
Eamail Arasteh Rad, Urs Hartl
In this article we introduce and study a motivic category in the arithmetic of function fields, namely the category of motives over an algebraic closure of a finite field with…
Product Formulas for Periods of CM Abelian Varieties and the Function Field Analog
Urs Hartl, Rajneesh Kumar Singh
We survey Colmez's theory and conjecture about the Faltings height and a product formula for the periods of abelian varieties with complex multiplication, along with the function f…