A working seminar on homological (quasi) hamiltonian reduction
This is the website for a working seminar on homological
hamiltonian reduction (a.k.a. classical BRST
cohomology) and its generalisations.
Hamiltonian reduction (understood very broadly) is a very
powerful tool. It is particularly useful in the context of
gauge theory. In some cases (e.g., Poisson reduction) it
admits a homological reformulation (which, ironically, was
first discovered in perturbative quantum field theory) which
goes by the name of classical BRST cohomology and
which plays a very important rôle in gauge theory, string
theory, conformal field theory, integrable systems,... The
aim of the seminar is to explore the possibility of extending
this homological reformulation beyond the Poisson case. A
particularly intersting case is that of quasihamiltonian
reduction. A possible common language in which to rephrase
hamiltonian reduction is that of Lie algebroids and part of
the seminar will be devoted to that.
Schedule of seminars

Friday, 25 September 2015
24pm in JCMB 4325A
José FigueroaO'Farrill
Classical BRST cohomology

Friday, 2 October 2015
1:303:30pm in JCMB 6206
David Jordan + Tim Weelinck
Quasihamiltonian Reduction (I)

Friday, 23 October 2015
24pm in JCMB 4325B
David Jordan + Tim Weelinck
Quasihamiltonian Reduction (II)

Thursday, 29 October 2015
13pm in JCMB 5326
Carlos ZapataCarratalá
Groupoids and algebroids

Friday, 6 November 2015
911am in JCMB 6311
Ana Rovi
LieRinehart algebras

Friday, 13 November 2015
34pm in JCMB 4325B
José FigueroaO'Farrill
Contact reduction

Friday, 20 November 2015
24pm in JCMB 6206
TBA
TBA

Friday, 27 November 2015
24pm in JCMB 6206
TBA
TBA
References

Anton Alekseev, Anton Malkin, and
Eckhard Meinrenken

Pavel Etingof

Pavel Safronov

Anton Alekseev, Yvette KosmannSchwarzbach, and
Eckhard Meinrenken

Marco Gualtieri

Henrique Bursztyn, Gil Cavalcanti and Marco Gualtieri
j.m.figueroa at ed.ac.uk
Last modified: 24 Sep 2015