Mathematisches Institut

Georg-August-Universität Göttingen

Letzte Änderung: 22. Nov. 08     
Verantwortlicher: Theo Buehler

Homepage von Theo Buehler

Name: Theo Buehler

Dienstanschrift:

Funktion im Institut
Assistent

Oberseminar Geometrie und Topologie

Meine Forschungsinteressen

• Homologische Algebra in der Funktionalanalysis
• l^1-Homologie und beschränkte Cohomologie
• Mittelbare Gruppenaktionen
• Metrische Geometrie nicht-positiv gekrümmter Räume
• Geometrische Gruppentheorie

Arbeiten

• Dissertation: On the algebraic foundation of bounded cohomology (available here).
  Advisors: Marc Burger and Paul Balmer, co-advisor: Nicolas Monod
• Diplomarbeit: On Gromov's geodesic flow (available upon request).
  Advisor: Marc Burger

Veröffentlichungen

• A derived functor approach to bounded cohomology,
  C. R. Acad. Sci. Paris, Ser. I 346 (2008) 615-618.
  Presented by Pierre Deligne.
  (available here or upon request)

Vorabdrucke

• Exact Categories, arXiv:0811.1480, ESI preprint 2063, submitted for publication.
• On the duality between l^1-homology and bounded cohomology, arXiv:0803.0680, submitted for publication.
• The Krein-Mil'man theorem for metric spaces with a convex bicombing, math.MG:0604187.

In Arbeit

• l^1-homology and bounded cohomology for simplicial sets.
• Mackey's virtual groups via a localization of categories.
• (joint with Vadim Kaimanovich) Amenable groupoids are Liouville.
• (joint with Vadim Kaimanovich) Boundaries of groups: geometric and probabilistic aspects.
  Notes on VK's ETH lectures, spring 2005.

Notizen

• An introduction to the derived category (available here)
  Notes to a series of lectures given at the Mirror Symmetry Learning Seminar, ETH Zürich, fall '07.