Dr. Fritz Hörmann

Member of the Graduiertenkolleg Cohomological Methods in Geometry


Postdoc
Mathematisches Institut
Albert-Ludwigs-Universität Freiburg

Büro/Office

Anschrift/Mail address:Mathematisches Institut - Raum 421
Albert-Ludwigs-Universität Freiburg
Eckerstraße 1
D-79104 Freiburg
Sprechstunde:Dienstag, 16-18 Uhr
Tel:+49 761 203 5550
eMail: fritz.hoermann@math.uni-freiburg.de

Announcement: Workshop on "Homotopical approaches to categories and geometry"

Freiburg, June 2-3, 2016

Further information...


Research interests

Shimura varieties and their compactifications and integral models, arithmetic of quadratic forms, Weil representation, Borcherds' theory, Kudla's conjectures on arithmetic theta functions

Fibered Derivators, (co)homological Descent, Grothendieck's 6-functor formalism, Algebraic stacks

Publications

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 Berlin313 pages
3 (2012)On recursive properties of certain p-adic Whittaker functions, Journal of Number Theory 132 (2012) pp. 1438-148244 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, preprint (new version: Oct 20, 15)87 pages
6 (2016)Six Functor Formalisms and Fibered Multiderivators, preprint67 pages
7 (2016)Descent for coherent sheaves along formal/open coverings, preprint19 pages
8 (2016)Generalized automorphic sheaves and the proportionality principle of Hirzebruch-Mumford, preprint30 pages
9 Construction of derivator six-functor-formalisms, in preparation

Summer school "Derivators"

Derivators, Freiburg 18.8-22.8.2014

Topic: Introduction to the formalism of derivators. This is built on work of Grothendieck, Heller and others and is a powerful and elegant approach to homological algebra, and homotopy theory, encompassing triangulated categories and derived functors.

Further information...

Lecture notes:
1Homotopy limits and colimits in nature - A motivation for derivators64 pages
2Fibered derivators, (co)homological descent, and Grothendieck's six functors33 pages

Lehrveranstaltungen

Sommer 2016Algebraische Zahlentheorie
Sommer 2016GRK Seminar on "Codimension 2"

Lehrveranstaltungen vergangener Semester

Fall 2010 (McGill)Math 316 - Complex analysis
Winter 2011 (McGill)Math 571 - Higher Algebra 2
Sommer 2011 (Freiburg)Assistent Vorlesung Diskrete Algebraische Strukturen
Winter 2011/12 (Freiburg)Assistent Vorlesung Algebraische Zahlentheorie
Winter 2011/12 (Freiburg)Proseminar Elementare Zahlentheorie
Winter 2011/12 (Freiburg)Seminar on Mordell's conjecture
Sommer 2012 (Freiburg)Projektseminar Algebraische Zahlentheorie - Analysis auf Adel- und Idelgruppen
Sommer 2012 (Freiburg)Assistent Vorlesung Mathematik II für Informatiker
Sommer 2012 (Freiburg)Organisation SWAS
Winter 2012/13 (Regensburg)Lectures on Shimura varieties
Sommer 2013 (Freiburg)Proseminar Graphentheorie
Sommer 2013 (Freiburg)Assistent Vorlesung Kommutative Algebra
Winter 2013/14 (Freiburg)Seminar Algebraische Geometrie (mit Dr. M. Wendt)
Winter 2013/14 (Freiburg)Assistent Vorlesung Algebra und Zahlentheorie
Sommer 2014 (Freiburg)Vorlesung: Kommutative Algebra und Einführung in die algebraische Geometrie
Winter 2014/15 (Freiburg)Seminar: Endliche Algebraische Gruppen
Winter 2014/15 (Freiburg)Assistent Vorlesung Mathematik I für Ingenieure und Informatiker
Sommer 2015 (Freiburg)Assistent Vorlesung Mathematik II für Informatiker
Winter 2015/16 (Freiburg)Lectures on Shimura varieties

Links

Graduiertenkolleg Cohomological Methods in Geometry

Süd-West-Arithmetik-Seminar (SWAS)

Arbeitsgruppe Zahlentheorie Freiburg

The Québec-Vermont Number Theory Seminar

First Montreal-Toronto Workshop in Number Theory

Second Montreal-Toronto Workshop in Number Theory