ESF Research Conferences

ESF Mathematics Conferences in Poland in partnership with MSHE and The Institute of Mathematics (PAN)

ALGEBRAIC ASPECTS IN GEOMETRY

Chaired by

CHAIR:

NorbertPoncinE-Mail
University of LuxembourgMathematics Research UnitLuxembourgLuxembourg

VICE-CHAIR:

JanuszGrabowskiE-Mail
Polish Academy of SciencesInstitute of MathematicsStefan Banach International Mathematical CenterWarszawaPoland

ORGANISING COMMITTEE: Professor Pierre Lecomte, University of Liège, BE -Professor Martin Schlichenmaier, University of Luxembourg, LU - Professor Ping Xu, Pennsylvania State University, US

Dates

17-23 October 2007

Location

Mathematical Research and Conference Center, Będlewo, Poland
The Mathematical Research and Conference Center is located in Będlewo, 26 km southwest from Poznań. The Center is situated in a charming spot on the border of the Wielkopolski National Park. The complex spans 9 hectars, including a strictly preserved forest area. The Center itself is located in two buldings: a neo-gothic palace built in 1866, and a modern and fully equipped hotel.

Final Programme & List of Accepted Participants

“Algebraic Aspects in Geometry” is the second ESF Mathematical Conference in Poland organized in partnership with the Polish Ministry for Science and Higher Education and the Institute of Mathematics of the Polish Academy of Sciences. The Conference will focus upon current advances and issues, as well as on long-term developments at the interface of Geometry, Algebra, and Theoretical Physics.

The following topics will be addressed:  

  • Infinite-dimensional Lie algebras: cohomology and geometry, applications in conformal field theory
    The Virasoro algebra and the affine Kac-Moody algebras play an important role in conformal field theory. For a quantization of the theory, fields and field operators on higher genus Riemann surfaces have to be considered. The corresponding global algebras are the algebras of Krichever-Novikov type. There exists an elegant formulation of Wess-Zumino-Novikov-Witten models using them. Further topics to be considered are higher algebraic structures, deformations of Lie algebras, central extensions, cohomology, families of infinite-dimensional Lie algebras over the moduli spaces of curves with marked points...  
  • Algebraic characterization of (super) space, Weyl algebra and related conjectures
    Recent Lie-algebraic characterizations of spaces are tightly connected with the description of automorphisms and derivations of quantum and classical Poisson algebras. These works are close to the study of the automorphism groups of the Weyl algebra and its classical counterpart, hence to the Kanel-Kontsevich, Dixmier, and Jacobi conjectures, which are statements challenging the mathematical community for several decades.  
  • Courant algebroids and symplectic Supergeometry, L-infinity algebras, Sigma models and supersymmetry
    Supermathematics is inspired by supersymmetry. Potential new supersymmetric sigma models should turn out to be a rich source of elegant and physically motivated theorems in Geometry. Interest in Q-manifolds is related with the Alexandrov, Kontsevich, Schwarz, and Zaboronsky interpretation of Batalin-Vilkovisky formalism in topological field theory. A Q-field on a supermanifold is dual to an L-infinity algebraic structure. Moreover, by the use of derived brackets in Q-geometry, one can reproduce a wide class of algebraic constructions, including Poisson manifolds and Courant algebroids, such that Dirac structures and, in particular, generalized complex structures are recognized to be certain super Lagrange submanifolds.  

The Conference aspires to participation in the efficient training of promising novices and to facilitation of contact and cooperation with senior researchers. Younger scientists have the opportunity to present their results in a poster session. A forward look plenary discussion about future developments will be organized, ad hoc working groups will be encouraged. An excursion and a conference dinner will allow participants to meet in a relaxed atmosphere.

Final Programme Word (406 KB) PDF (161 KB) Last Updated 12-October-2007
List of Invited Speakers & Accepted Participants

Abstracts, Posters & Short Oral Contributions

Selected short talks are listed in the Final Programme. All abstracts are accepted as posters. Participants who applied for a short talk and were not selected are encouraged to present a poster.
Posters can be fixed with pins onto poster panels. Recommended poster size should be 140 cm high x 100 cm wide. Use letters and drawings that can be read from approximately 100 cm distance.

Invited Papers

List of Invited Papers 

Group Transportation & Practical Information Guide

Detailed information on all practical aspects of the conference (access to site, registration & fee payments, accommodation, travel reimbursements...) is available from the Practical Information Guide. Please read it fully and carefully...

Practical Information Guide PDF (308 KB) Last Updated 11-October-2007

GROUP TRANSPORTATION
Two buses will be arranged on arrival day from Poznań airport via Poznań railway station to Będlewo. The journey from the airport takes approximately one hour.

Bus departure times - Wednesday 17 October:
- from Poznań airport: 16.00 – 18.00
- from Poznań railway station: 16.30 – 18.30
The coaches will have a sign in the window indicating “ESF Research Conferences” for easy recognition.
Group transportation back to Poznań will be arranged in a similar way for the departure day, Tuesday 23 October. Participants will be requested to sign up on the spot. Buses will be leaving after breakfast.

ACCOMMODATION
Please note that SINGLE accommodation can only be guaranteed to invited SPEAKERS. All other participants will have to share a TWIN room. In case single rooms would become available, rooms will be attributed on a “first come, first served” basis. Only the TWIN conference fee should be paid to the ESF when registering. The supplement for single should be paid directly to the venue . Should you wish to be put on waiting list for single accommodation, please contact Ms. Chiara Orefice.

Conference Fees

Fees

What the fees cover

EUR 560

conference, meals and twin OR double room

EUR 490

non-resident: conference, meals (no room)

EUR 106single room supplement (subject to room availability)

Registration Form

All participants - including speakers & session chairs - are kindly expected to confirm their attendance (and, when applicable, to pay the conference fee) by filling in a Registration Form.
Closing date for registration & fee payment: 30 September 2007

ESF Contact

ChiaraOreficeE-Mail
European Science FoundationESF Conferences UnitBrusselsBelgium

Phone: +32 (0)2 533 2023
Fax: +32 (0)2 538 8486
Please quote 07-249 in any correspondence.

Partnership

This conference is organised by the European Science Foundation (ESF) in partnership with the Ministry of Science and Higher Education (MSHE)

With Support from