Prof. Dr. Urs Hartl

Mathematisches Institut
Investigator in Mathematics Münster
Field of expertise: Arithmetic geometry and representation theory
Member of CRC 1442 Geometry: Deformations and Rigidity

Email Address: urs dot hartl at uni-muenster dot de
Personal web page: Prof. Dr. Urs Hartl

Projects

Topics in Mathematics Münster

T1: K-Groups and cohomology
T2: Moduli spaces in arithmetic and geometry
T4: Groups and actions

Research Interests

Research Interests

$\bullet$ Arithmetic algebraic geometry.
$\bullet$ Algebraic number theory.
$\bullet$ Arithmetic of function fields.
$\bullet$ Structure theory of Shimura varieties and their function field analogues.
$\bullet$ $p$ -adic Hodge theory.
$\bullet$ $p$ -adic Langlands programme.
$\bullet$ Model theory.

Recent Publications

Recent Publications of Prof. Dr. Urs Hartl

$\bullet$ Christoph Böhm and Urs Hartl. Moment map flow on real reductive Lie groups and GIT estimates. arXiv e-prints, June 2024. arXiv:2406.19340.

$\bullet$ Urs Hartl and Yujie Xu. Uniformizing the moduli stacks of global $G$ -shtukas II. arXiv e-prints, September 2023. arXiv:2309.17441.

$\bullet$ Urs Hartl and Rajneesh Kumar Singh. Periods of Drinfeld modules and local Shtukas with complex multiplication -– erratum. Journal of the Institute of Mathematics of Jussieu, 21(6):2247–2251, November 2022. doi:10.1017/S1474748020000705.

$\bullet$ Esmail Arasteh Rad and Urs Hartl. Category of $C$ -motives over finite fields. J. Number Theory, 232:283–316, July 2022. doi:10.1016/j.jnt.2020.06.015.

$\bullet$ Urs Hartl and Rajneesh Kumar Singh. A short review on local shtukas and divisible local Anderson modules. In Perfectoid Spaces, Infosys Science Foundation Series, pages 51–68. April 2022. doi:10.1007/978-981-16-7121-0_4.

$\bullet$ Esmail Arasteh Rad and Urs Hartl. Uniformizing the moduli stacks of global G-shtukas. International Mathematics Research Notices, pages 16121–16192, November 2021. doi:10.1093/imrn/rnz223.

$\bullet$ Urs Hartl and Eva Viehmann. The generic fibre of moduli spaces of bounded local $G$ -shtukas. Journal of the Institute of Mathematics of Jussieu, 22(2):799–878, July 2021. doi:10.1017/s1474748021000293.

$\bullet$ Urs Hartl and Rajneesh Kumar Singh. Product formulas for periods of CM abelian varieties and the function field analog. J. Number Theory, 218:62–151, January 2021. doi:10.1016/j.jnt.2020.06.017.

$\bullet$ Urs Hartl and Chia-Fu Yu. Arithmetic Satake compactifications and algebraic Drinfeld modular forms. arXiv e-prints, September 2020. arXiv:2009.13934.

$\bullet$ Urs Hartl and Eugen Hellmann. The universal family of semistable $p$ -adic Galois representations. Algebra Number Theory, 14(5):1055–1121, July 2020. doi:10.2140/ant.2020.14.1055.

$\bullet$ Urs Hartl and Wansu Kim. Local Shtukas, Hodge-Pink Structures and Galois Representations, pages 157–218. EMS Ser. Congr. Rep. EMS Publ. House, Berlin, May 2020. doi:10.4171/198.

$\bullet$ Urs Hartl and Ann-Kristin Juschka. Pink's theory of Hodge structures and the Hodge conjecture over function fields. In $t$ -motives: Hodge structures, transcendence and other motivic aspects, pages 31–182. May 2020. doi:10.4171/198-1/2.

$\bullet$ Urs Hartl and Rajneesh Kumar Singh. Periods of Drinfeld modules and local shtukas with complex multiplication. J. Inst. Math. Jussieu, 19(1):175–208, January 2020. doi:10.1017/s1474748017000494.

$\bullet$ Urs Hartl. Isogenies of abelian Anderson A-modules and A-motives. ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 19(4):1429–1470, December 2019. doi:10.2422/2036-2145.201612_003.

$\bullet$ Urs Hartl and Rajneesh Kumar Singh. Local shtukas and divisible local Anderson modules. Canadian J. Math., 71(5):1163–1207, March 2019. doi:10.4153/cjm-2018-016-2.

$\bullet$ Urs Hartl and Ambrus Pál. Crystalline Chebotarëv density theorems. arXiv e-prints, November 2018. arXiv:1811.07084.