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SUMMARY:Classical and quantum Lagrangian field theories on manifolds with 
 boundaries - Cattaneo\, A (Universitt Zrich)
DTSTART:20130403T083000Z
DTEND:20130403T093000Z
UID:TALK44318@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Classical and quantum field theories may be thought of as appr
 opriate functors from (some version of) the cobordism category. At the qua
 ntum level this was proposed by Segal as an axiomatization. Incarnations o
 f this exist for nonperturbative topological field theory (by Witten follo
 wing Atiyah's version of the axioms for TFTs) as well as in one and two di
 mensional field theories. This talk (based on joint work with Mnev and Res
 hetikhin) will give an introduction to the classical version and to the Ba
 talin-Vilkovisky version\, which forms the starting point for the perturba
 tive quantization. The possibility of including boundaries of boundaries (
 and so on) naturally yields to a Lurie-type description. Eventually\, one 
 might be able to reconstruct perturbative quantum theories on manifolds by
  gluing simple pieces together. Work in progress on this will be presented
 .\n
LOCATION:Seminar Room 1\, Newton Institute
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