Differential Geometry Workshop
                                  of the
                         University of Adelaide
               Institute for Geometry and its Applications

will be held in the Flentje lecture theatre on Monday 2nd December 1996.
The schedule and some abstracts are appended.

                                ALL WELCOME
                                           Michael Eastwood
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 9:25 -->  9:30   Announcement of Winning IGA Logo
 9:30 --> 10:30   Robin Graham
10:30 --> 11      Jan Slovak
11    --> 11:30   BREAK
11:30 --> 12.30      Michael Murray
12.30 -->  1      Patrick Doran-Wu
 1    -->  2      LUNCH
 2    -->  2:30   Michael Eastwood
 2:30 -->  3      Vladimir Ezhov
 3    -->  3:30   Bryan Wang
 3:30 -->  4      BREAK
 4    -->  5      John Rice
 5    -->  5:30   Keith Hannabuss
 5:30 -->  ...    DRINKS etcetera
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Robin Graham (University of Washington)

The FBI transform

The FBI (Fourier-Bros-Iagolnitzer) transform is a modification of the Fourier
transform which is especially useful for detecting and studying local
real-analyticity of functions on R^n.  The standard use of the Fourier
transform to study C-infinity regularity will be recalled, and its inadequacy
for the study of real analyticity will be explained.  The FBI transform will be
defined and its use in studying real-analyticity will be discussed.
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Jan Slovak (University of Adelaide and Masaryk University, Brno)

Ehresmann's approach to connections

In this quite general and introductory talk, I will focus on the most general
approaches to connections, curvature, and parallel transport, without any
linearity, structure groups, etcetera.  Links to the more standard concepts of
linear and principal connections will be given.
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Michael Murray (University of Adelaide)

Characteristic Classes and Classifying Spaces

I will give an elementary account of the theory of classifying spaces and
characteristic classes.  The emphasis will be on examples so as to motivate
Milnor's construction of the classifying space BG of a topological group G.
You do not need to bring your own 3D glasses---they will be provided.
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Patrick Doran-Wu (University of Adelaide)

Using a standard form algorithm to tackle the Einstein-Weyl equations
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Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch Lunch
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Michael Eastwood (University of Adelaide)

Envelopes of holomorphy

A major difference between holomorphic functions of one variable and of several
(i.e. more than one) is that a holomorphic function of several variables is apt
automatically to extend to a larger set than where it is originally defined.
I shall present some examples of this phenomenon.
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Vladimir Ezhov (University of Adelaide)

Local and global holomorphic equivalence of pseudoconvex hypersurfaces
and higher codimensional C-R manifolds.

I'll explain how the theory of normal forms and just qualitive geometrical
analysis of ODE enables one to prove a formerly complicated theorem about
global extension of local holomorphic equivalence for compact real analytic
strictly pseudoconvex hypersurfaces in complex manifolds. This problem is
awaiting a generalization for higher codimensional CR manifolds.  I'll
discuss a couple of examples that prevent the direct generalization of the
above theorem.
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Bryan Wang (University of Adelaide)

Floer Homology Theory

I will discuss Floer-type homology theory for Seiberg-Witten monopoles and its
relationships with SW invariants.
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John Rice (Flinders University)

Lowest K-types and geometric quantisation
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Keith Hannabuss (University of Oxford)

The asymptotics of quantisation on Kaehler manifolds
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Drinks in the Staff Club   Drinks in the Staff Club   Drinks in the Staff Club
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