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PD Dr. Fritz Hörmann |
| Tel: | +49 176 995 203 88 |
| eMail: | m@fhoermann.org |
Shimura varieties and their compactifications and integral models, arithmetic of quadratic forms, Weil representation, Borcherds' theory, Kudla's conjectures on arithmetic theta functions
Fibered (multi-)derivators, (co)homological descent, Grothendieck's six-functor-formalism, algebraic stacks
Mixed motives, periods
Rendering of fractal images: Retinamandelbrot
| 1 (2005) | Komplexe Multiplikation, Diploma thesis, University of Heidelberg (in German) | 98 pages |
| 2 (2010) | The arithmetic volume of Shimura varieties of orthogonal type, Ph.D. thesis, Humboldt-University of Berlin | 313 pages |
| 3 (2012) | On recursive properties of certain p-adic Whittaker functions, Journal of Number Theory 132 (2012) pp. 1438-1482 | 44 pages |
| 4 (2014) | The arithmetic and geometric volume of Shimura varieties of orthogonal type, CRM Monograph Series, Vol 35, Am. Math. Soc. | 151 pages |
| 5 (2015) | Fibered multiderivators and (co)homological descent, Theory Appl. Categ., Vol. 32, 2017, No. 38, pp 1258-1362. | 105 pages |
| 6 (2016) | Six Functor Formalisms and Fibered Multiderivators, Selecta Mathematica, 24(4), pp. 2841-2925 (2018) | 85 pages |
| 7 (2017) | Derivator six-functor-formalisms, Definition and Construction I | 55 pages |
| 8 (2017) | Derivator Six-Functor-Formalisms, habilitation thesis (consists mainly of publications 5, 6 and 7 with an extended introduction) | 231 pages |
| 9 (2017) | Enlargement of (fibered) derivators, J. Pure Applied Algebra 224 (3), pp. 1023-1063 (2020) | 40 pages |
| 10 (2018) | (j.w. M. Wendt) Derivators and Tilting, Appendix to W. Soergel, R. Virk, M. Wendt; Equivariant motives and geometric representation theory, preprint | 8 pages |
| 11 (2020) | (j.w. A. Perucca, P. Sgobba, S. Tronto) Explicit Kummer theory for quadratic fields, JP J. Algebra, Number Theory Appl., vol. 50 (2021), no. 2, 151-178. | |
| 12 (2020) | Descent for coherent sheaves along formal/open coverings, C. R. Math. Acad. Sci. Paris 358 (2020), no. 5, 577-594. | 19 pages |
| 13 (2021) | Model category structures on simplicial objects | 24 pages |
| 14 (2021) | Exactness of Bousfield localizations of simplicial presheaves and local lifting | 23 pages |
| 15 (2021) | Higher stacks as diagrams | 42 pages |
| 16 (2021) | A note on formal periods | 26 pages |
| 17 (2022) | Derivator Six-Functor-Formalisms, Construction II (revised version) | 105 pages |
| 18 (2022) | Six-Functor-Formalisms on Higher Stacks | 110 pages |
| 19 (2023) | Generalized automorphic sheaves and the proportionality principle of Hirzebruch-Mumford (revised version), J. Inst. Math. Jussieu, First View, pp. 1 - 39 | 35 pages |
| 2019 | René Recktenwald | Construction of six functor formalisms |
Summer school Derivators, Freiburg 18.8-22.8.2014
Workshop on "Homotopical approaches to categories and geometry", Freiburg June 2-3, 2016
Workshop on Derivators, Prague, Czech Republic, December 12-16, 2016
Summer school "Degeneration of Calabi-Yau varieties and arithmetic", Freiburg, October 9-13, 2017
Workshop on Derivators, Regensburg, April 9-12, 2019
The following are lecture notes and some writings not intended for publication. They are not always carefully proofread and sometimes preliminary.
Familie/Family: Antonella Perucca
beamermath Animated and interactive projector slides programmed in C/GLSL
Süd-West-Arithmetik-Seminar (SWAS)
Arbeitsgruppe Zahlentheorie Freiburg/Workgroup Number Theory Freiburg
The Québec-Vermont Number Theory Seminar