MINI-WORKSHOP ON GEOMETRIC

INTEGRAL TRANSFORMS

 

INTERNATIONAL SCHOOL FOR ADVANCED STUDIES,

TRIESTE, ITALY

OCTOBER 6/7, 2003

Supported by the Research Project "Moduli problems in algebraic

and differential geometry and applications in mathematical physics"

funded by the Friuli-Venezia Giulia Region
 
 
 
 

THIS PAGE IS PRESENTLY UNDER CONSTRUCTION

Organizer:  U. Bruzzo (SISSA, Mathematical Physics Sector)
 
 
 

A Mini-Workshop on Geometric Integral Transforms will take place at SISSA on October 6 and 7, 2003. The purpose of the Workshop is to report on some recent developments in the theory of "geometric integral transforms" of various sorts, such as Fourier-Mukai, Nahm, Fourier-Sato and Penrose transforms, and, more generally, index-theoretic constructions. These find applications in such different areas as moduli spaces of bundles, mirror symmetry, integrable systems, gauge and string theory, microlocal analysis, etc.

Programme

Monday, October 6, 2003

10:00 C. Bartocci (Genova), Nahm transform for instantons on ALE spaces

11:30 J. Varilly (Univ. Costa Rica), The "noncommutative" local index formula for the Podles q-sphere

14:30 M. Eastwood (Adelaide),The Bernstein-Gelfand-Gelfand machinery and its consequences

15:30 A. D'Agnolo (Padova), On a Fourier-Mukai transform for D-algebras over complex tori

17:00 D. Hernandez Ruiperez (Salamanca), Fourier-Mukai transforms and D-branes on elliptic CYs

Tuesday, October 7, 2003

10:45 G. Landi (Trieste), Index theorems on deformed spheres

12:00 U. Bruzzo (SISSA), Fourier-Mukai transforms on Lagrangian torus bundles

All talks will take place in Room B. For information please mail to bruzzo@sissa.it