Olaf Schnürer  

Mathematisches Institut der Universität Bonn
Zimmer 1.002
Endenicher Allee 60
53115 Bonn
Germany
email: olaf.schnuerer (ergänze/add @math.uni-bonn.de)
Telefon (phone): +49 (0) 228 73 intern, intern = 3792

Derived Categories

Dimensions, Stability Conditions, and Enhancements

Hausdorff School with lecture series by Arend Bayer, Amnon Neeman, Paolo Stellari
Problem sheets and announcements


Arbeitsgruppe: Algebra und Darstellungstheorie in Bonn
(Working group: algebra and representation theory in Bonn)

Wochenprogramm (seminars in Bonn)

Lehre (Teaching)

Sommersemester 2016 (summer semester 2016)

• Betreuung der Vorlesung Advanced Algebra I (assistant for the lecture course Advanced Algebra I)
• Oberseminar Darstellungstheorie (representation theory seminar)

Wintersemester 2015/16 (winter semester 2015/16)

• Seminar über derivierte Kategorien (seminar on derived categories)

• in früheren Semestern (in previous semesters)

Research (Forschung)

• Preprints (link to my preprints on the arXiv)
  • Six operations on dg enhancements of derived categories of sheaves, 2015.
  • Homotopy categories and idempotent completeness, weight structures and weight complex functors, 2011.
• Articles in refereed journals (MathSciNet)
  • Geometricity for derived categories of algebraic stacks, with Daniel Bergh and Valery A. Lunts, accepted for publication by Selecta Mathematica.
  • Motivic vanishing cycles as a motivic measure, with Valery A. Lunts, accepted for publication by Pure and Applied Mathematics Quarterly.
  • New enhancements of derived categories of coherent sheaves and applications, with Valery A. Lunts, Journal of Algebra. Arxiv version.
  • Matrix factorizations and motivic measures, with Valery A. Lunts, accepted for publication by Journal of Noncommutative Geometry. Arxiv version.
  • Matrix factorizations and semi-orthogonal decompositions for blowing-ups, with Valery A. Lunts, accepted for publication by Journal of Noncommutative Geometry. Arxiv version.
  • Proper base change for separated locally proper maps, with Wolfgang Soergel, accepted for publication by Rendiconti del Seminario Matematico della Università di Padova. ArXiv version.
  • Smoothness of equivariant derived categories, with Valery A. Lunts, Proceedings of the London Mathematical Society, 2013. ArXiv version.
  • Equivariant Sheaves on Flag Varieties, Math. Zeitschrift 267 (2011), no. 1-2, 27-80. ArXiv version.
    
  • Perfect Derived Categories of Positively Graded DG Algebras, Appl. Categ. Structures 19 (2011), no. 5, 757-782. ArXiv version.
  • Regular Connections on Principal Fiber Bundles over the Infinitesimal Punctured Disc, Journal of Lie Theory 17 (2007), No. 2, 427-448. ArXiv version.
• Theses
  • Equivariant Sheaves on Flag Varieties, DG Modules and Formality, Doktorarbeit (PhD thesis), 2007.
  • Reguläre Zusammenhänge in trivialen algebraischen G-Hauptfaserbündeln über der infinitesimalen punktierten Kreisscheibe, Diplomarbeit (diploma thesis), 2003.
• Conference proceedings
  
  • Six operations on dg enhancements of derived categories of sheaves and applications, to appear in Research Perspectives CRM Barcelona, Trends in Mathematics. Extended abstract of my talk given at the conference Opening Perspectives in Algebra, Representations, and Topology (OP-ART) held at the CRM Barcelona in May 2015.
  • Some enhancements of derived categories of coherent sheaves and applications, to appear in Oberwolfach Report: Interactions between Algebraic Geometry and Noncommutative Algebra.
  • Matrix factorizations, semiorthogonal decompositions, and motivic measures, in Oberwolfach Report: Matrix Factorizations in Algebra, Geometry, and Physiscs.
  • Equivariant sheaves on flag varieties, pp. 850-852 in Oberwolfach Report: Enveloping Algebras and Geometric Representation Theory, Volume 6, Issue 1, 2009, pp. 801-866.

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