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Geometry and Analysis on Path Spaces and Related Fields
24 - 29 July 2000

Local Organisers: David Elworthy & John Jones

ICMP Satellite Scientific Advisory Board:
L.Gross (Cornell),A.Jaffe (Harvard), M.Rockner (Bielefeld)

Titles of Talks so far collected

S.Aida (Osaka) Logarithmic Sobolev inequalities on pinned path spaces over a rotationally symmetric Riemannian manifold with a pole

S.Albeverio (Bonn) Functional Integration and the Chern-Simons model

Ya.I. Belopolskaya & Yu.E. Gliklikh Stochastic processes on manifolds of diffeomorphisms and viscous hydrodynamics

A.B.Cruzeiro (Lisbon) Curvature of the path space in adapted differential geometry

B.Driver (San Diego) Path integrals on manifolds

M.Gordina (McMaster) Heat kernel measure and Taylor map on infinite dimensional groups

L.Gross (Cornell) Dirichlet forms in holomorphic function spaces

M.Hino (Kyoto)Short time asymptotics of some symmetric diffusions in infinite dimensions.

R. Hudson (Nottingham Trent) Deformations of algebras constructed using quantum stochastic calculus

J.Jones (Warwick) Operads and loop spaces

X.-M.Li (Connecticut) 2-forms on path spaces

B.Lackey (Hull) Approximating families in Dirichlet spaces and applications

R.Leandre (Nancy) A stochastic approach to Wittens explanation of the rigidity theorem

P.Malliavin (Paris) Invariant measures for elliptic operators

M.Missarov (Kazan) Functional integrals via functional equations in p-adic field models

M.Roeckner (Bielefeld) Elliptic equations for invariant measures on finite and infinite dimensional manifolds

A.Rogers (Kings,London) Morse theory, stochastic calculus and the quantization of the topological particle

O.G.Smolianov (Moscow) Path integration for the heat equation on Riemannian manifolds

S. Song (Evry) Markov uniqueness on path space: the case of the Bessel spaces

D. Sternheimer (Bourgogne) From quantisation and deformations to deformation quantisation and its latest developments: a few interrelated aspects of a century in fundamental physics and mathematics

S.Taniguchi (Kyushu) Analytic functions on abstract Wiener spaces and a localization of stochastic oscillatory integrals.

T. Wurzbacher (Strasbourg) Towards a rotation-equivariant Dirac operator on loop spaces

The Workshop will consist of 50/60 minute talks with ample time for informal discussion.Some talks will be jointly organised with the Quantisation Workshop.

Provisional skeleton programme:
Monday 24th July
9-10 am Registration
5 talks starting at 10.15 am
evening:buffet supper (Math Institute)

Tuesday 25th July
5 talks starting at 9.30 am

Wednesday 26th July
3 talks starting at 9.30 am afternoon free

Thursday 27th July
5 talks starting at 9.30 am

Friday 28th July
5 talks starting at 9.30 am
evening: buffet party at Lord Leycesters Hospital

Saturday 29th July
2 talks starting at 10 am.
formal events finish at 12.30 pm facilities for informal discussions in afternoon.

Graduate students at UK universities working in relevant areas are encouraged to participate and LMS funding is available via the organisers for their support. There may also be some limited support for UK participants from the LMS Warwick visitors fund.

The conference is a satellite meeting in connection with the

XIII International Congress in Mathematical Physics
17-22 July 2000, London

To received further announcements and registration information, please e-mail or write to:

Mrs. Peta McAllister, Mathematics Research Centre,
University of Warwick, Coventry CV4 7AL - UK
Phone: 44 + (0)1203 - 524403
Fax: 44 + (0)1203 - 523548
E-mail:
peta@maths.warwick.ac.uk

 
 
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