London Mathematical Society Regional Meeting in Manchester, July 2001

Workshop, Saturday 7 July -- Friday 13 July 2001

Quantization, deformations, and new homological and categorical methods in mathematical physics

The workshop accompanies an LMS Regional meeting in Manchester, 6 July 2001.

Location: the University of Manchester Institute of Science and Technology (UMIST).

Organizers: Prof Mike Prest, Dr Theodore Voronov

Directions for participants.

Programme

All talks Monday to Friday are in Room M12, MSS building (Maths Tower), UMIST. On Saturday and Sunday talks will be in Room 2, Fairfield Hall, UMIST.

Mini lecture courses:

• Professor John Jones, (Warwick): Operad theory
• Professor Arkady Vaintrob, (Oregon): Homological vector fields and their applications
• Professor Klaas Landsman, (Amsterdam): Quantization as a functor

Alphabetical list of talks.

Topics that the workshop will touch on include: deformation theory and various aspects of quantization; supermanifolds; even and odd Poisson geometry; application of operads; Lie groupoids and Lie algebroids, Lie bialgebroids and related structures.

Programme by day (provisional):

• Saturday 7 July
• Sunday 8 July
• Monday 9 July
• Tuesday 10 July
• Wednesday 11 July
• Thursday 12 July
• Friday 13 July

Please fill the Registration form and mail it to the organizers if you wish to attend the workshop.

Saturday, 7 July:

Morning session

10.20-11.20 Arkady Vaintrob, (University of Oregon): Homological vector fields and their applications (1)

11.20-11.45 Tea & coffee

11.45-12.45 Ping Xu, (Penn State University): Dirac type generating operators and derived brackets

Sunday, 8 July:

Afternoon session

14.00-15.00 Theodore Voronov (UMIST): Graded manifolds, doubles and odd Lie bialgebras

15.05-16.05 Hovhannes Khudaverdian, (Yerevan and UMIST): Δ-operator on semidensities on odd symplectic supermanifold

16.05-16.30 Tea & coffee

16.30-17.30 Marius Crainic, (Utrecht University): Integrability of Lie brackets

17.40-18.40 Askar Dzhumadil'daev, (Institute of Mathematics Almaty): n-Lie structures, hidden deformations and identities

Monday, 9 July:

Morning session.

9.15-10.15 John Jones, (University of Warwick): Operad theory (1)

10.20-11.20 Arkady Vaintrob, (University of Oregon): Homological vector fields and their applications (2)

11.20-11.45 Tea & coffee

11.45-12.45 Yvette Kosmann-Schwarzbach, (Ecole Polytechnique): On quasi-Batalin-Vilkovisky algebras

Afternoon session.

14.00-15.00 Dmitry Roytenberg, (Penn State University): Structure of symplectic supermanifolds and Courant algebroids

15.05-16.05 Olga Radko, (UC Berkeley): A classification of generic Poisson structures on S²

16.05-16.30 Tea & coffee

16.30-17.30 Yoshiaki Maeda, (Keio University): Convergent star products on Fréchet--Poisson algebras of Heisenberg type

17.40-18.40 Rui Loja Fernandes, (Instituto Superior Tecnico, Lisbon): More on integrability of Lie brackets

Tuesday, 10 July:

Morning session

9.15-10.15 John Jones, (University of Warwick): Operad theory (2)

10.20-11.20 Arkady Vaintrob, (University of Oregon): Homological vector fields and their applications (3)

11.20-11.45 Tea & coffee

11.45-12.45 Klaas Landsman, (University of Amsterdam): Quantization as a functor (1)

Afternoon session

14.00-15.00 Joseph Donin, (Bar-Ilan University): Quantum homogeneous spaces

15.05-16.05 Kirill Mackenzie, (University of Sheffield): The nature of canonical isomorphisms

16.05-16.30 Tea & coffee

16.30-17.30 Janez Mrčun, (University of Ljubljana): On integrability of semi-direct products of Lie algebroids

17.40-18.40 Alexander Chervov, (Université d'Angers): On Courant algebroids

Wednesday, 11 July:

Morning session

9.15-10.15 Ieke Moerdijk, (Utrecht University): (1) Homotopy Theory of Operads.

10.20-11.20 Klaas Landsman, (University of Amsterdam): Quantization as a functor (2)

Break. (Some activity may be organized on a short notice.)

Thursday, 12 July:

Morning session

9.15-10.15 John Jones, (University of Warwick): Operad theory (3)

10.20-11.20 Klaas Landsman, (University of Amsterdam): Quantization as a functor (3)

11.20-11.45 Tea & coffee

11.45-12.45 Liu Zhang-ju, (Peking University): Lie bialgebroids associated with Poisson action

Afternoon session

14.00-15.00 John Rawnsley, (University of Warwick): An introduction to traces for star-products on symplectic manifolds

15.05-16.05 Vladimir Kisil, (University of Leeds): Quantum and classical brackets: two in one bottle

16.05-16.30 Tea & coffee

16.30-17.30 Andrei Mudrov, (Bar-Ilan University): Invariant quantization on coadjoint orbits of sl(n) via reflection equation algebra

17.40-18.40 Nathalie Wahl, (University of Oxford): From framed little discs to higher Batalin-Vilkovisky algebras

Friday, 13 July:

Morning session

9.15-10.15 John Jones, (University of Warwick): Operad theory (4)

10.20-11.20 Boris Fedosov, (MPIM Bonn): On the trace density in deformation quantization

11.20-11.45 Tea & coffee

11.45-12.45 Ieke Moerdijk, (Utrecht University): (2) Lie groupoids, gerbes, and cohomology of foliation groupoids