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**