| Private Homepage | https://www.uni-muenster.de/Arithm/viehmann/index.html |
| Topics in Mathematics Münster | T1: K-Groups and cohomology T2: Moduli spaces in arithmetic and geometry T4: Groups and actions |
| Current Publications | • Wedhorn, Torsten; Viehmann, Eva; Lang, Christopher Moduli of truncated shtukas and displays. , 2025 online • Schremmer, Felix; Viehmann, Eva Affine Deligne-Lusztig varieties beyond the minute case. , 2025 online • Hartl, Urs; Viehmann, Eva The generic fiber of moduli spaces of bounded local G-shtukas. Journal of the Institute of Mathematics of Jussieu Vol. 22 (2), 2023, pp 1-80 online • Nguyen, Kieu Hieu; Viehmann, Eva A Harder-Narasimhan stratification of the B_{dR}^+-Grassmannian. Compositio Mathematica Vol. 159 (4), 2023 online • Viehmann, Eva On Newton strata in the B_{dR}^+-Grassmannian.. Duke Mathematical Journal Vol. 173 (1), 2023 online • Viehmann, Eva Minimal Newton strata in Iwahori double cosets. International Mathematics Research Notices Vol. 2019 (7), 2021, pp 5349-5365 online • Trentin S., Viehmann E. Closure relations of Newton strata in Iwahori double cosets. Manuscripta Mathematica Vol. 2021, 2021 online • Hamacher P, Viehmann E Finiteness properties of affine Deligne-Lusztig varieties. Documenta Mathematica Vol. 25, 2020, pp 899-910 online • Milicevic, Elizabeth; Viehmann, Eva Generic Newton points and the Newton poset in Iwahori-double cosets. Forum of Mathematics, Sigma Vol. 8, 2020, pp Paper No. e50, 18 online |
| Current Projects | • EXC 2044 - T01: K-Groups and cohomology K-groups and cohomology groups are important invariants in different areas of mathematics, from arithmetic geometry to geometric topology to operator algebras. The idea is to associate algebraic invariants to geometric objects, for example to schemes or stacks, C∗-algebras, stable ∞-categories or topological spaces. Originating as tools to differentiate topological spaces, these groups have since been generalized to address complex questions in different areas. online • EXC 2044 - T02: Moduli spaces in arithmetic and geometry The term “moduli space” was coined by Riemann for the space Mg parametrizing all one-dimensional complex manifolds of genus g. Variants of this appear in several mathematical disciplines. In arithmetic geometry, Shimura varieties or moduli spaces of shtukas play an important role in the realisation of Langlands correspondences. Diffeomorphism groups of high-dimensional manifolds and moduli spaces of manifolds and of metrics of positive scalar curvature are studied in differential topology. Moduli spaces are also one of the central topics in our research in mathematical physics, where we study moduli spaces of stable curves and of Strebel differentials. online • EXC 2044 - T04: Groups and actions The study of symmetry and space through the medium of groups and their actions has long been a central theme in modern mathematics, indeed one that cuts across a wide spectrum of research within the Cluster. There are two main constellations of activity in the Cluster that coalesce around groups and dynamics as basic objects of study. Much of this research focuses on aspects of groups and dynamics grounded in measure and topology in their most abstract sense, treating infinite discrete groups as geometric or combinatorial objects and employing tools from functional analysis, probability, and combinatorics. Other research examines, in contrast to abstract or discrete groups, groups with additional structure that naturally arise in algebraic and differential geometry. online • CRC 1442 - A05: Moduli spaces of local shtukas in mixed characteristic We study the geometry and cohomology of moduli spaces of local G-shtukas, a class of moduli spaces that plays a central role in the geometrisation of Langlands correspondences. More precisely, we are interested in the geometry of the image of the period maps, want to investigate étale sheaves on the moduli spaces and aim at the local Langlands correspondence for covering groups via a metaplectic geometric Satake equivalence. | viehmann@wwu.de |
| Phone | +49 251 83-33701 |
| FAX | +49 251 83-33786 |
| Room | 315 |
| Secretary | Sekretariat Harenbrock/Reckermann Frau Ina Reckermann Telefon +49 251 83-33700 Fax +49 251 83-33786 Zimmer 316 |
| Address | Prof. Dr. Eva Viehmann Mathematisches Institut Fachbereich Mathematik und Informatik der Universität Münster Einsteinstrasse 62 48149 Münster Deutschland |
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