SECOND SCHOOL ON ANALYSIS AND GEOMETRY ON METRIC SPACES

TRENTO,\qquad June 11--15, 2001

The aim of the school is to offer an outline of the present state
of research concerning geometric measure theory on
Carnot--Carath\"eodory groups and
on more general metric spaces.

Analysis and Geometry on these structures has been object of extensive research
in the last few years, with applications ranging from degenerate
elliptic equations to optimal control theory and differential
geometry.

It is the intention of the organizers to put together young
researchers and well-known researchers active in the field and to
encourage informal discussion on current research trends and
developments in the area.

Up to now the following speakers have agreed to give the following short courses:

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L. Ambrosio (Scuola Normale Sup. Pisa): {\it "Geometric Measure Theory in Metric Spaces:
Sets of Finite Perimeter and Currents in non Euclidean Spaces"}.

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M. Gromov (IHES - Paris and Courant Institute - New York): Tba.
\smallskip

H.M. Reimann (University of Bern - Bern): {\it "Quasiconformal Mappings on Heisenberg Groups and
Related Topics"}.
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M. Troyanov (Ecole Polytecnic. - Lausanne): {\it "Axiomatic Sobolev Spaces on Measure Metric Spaces"}.
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The school will be held at the Residence Panorama in Sardagna, where participants will also
be lodged. Sardagna is a small village near Trento, reachable by the cableway from Trento (near S. Lorenzo
bridge). From Monday to Sunday there are cableway runs every quarter from 7:00 to 22:30.
The travelling time is 4 minutes.
The cost for the full board in a single bedroom at the Residence Panorama is
about Lit. 135.000 per day. Sharing the room with another participant the cost for the full board is
Lit. 125.000 per day per person.
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The school will be financed by the group ``Calcolo delle Variazioni'' of
italian MURST and by the CIRM of Istituto Trentino di Cultura.
Young researchers are encouraged to participate: it is possible to
support some of them upon request.

All persons interested in attending the conference are asked to
contact Mr. A. Micheletti, secretary of CIRM, Istituto Trentino di
Cultura, 38050 Povo (TRENTO).
E-Mail: michelet@science.unitn.it\quad
Phone: (39)-0461881628\quad
Fax: (39)-0461810629
\bigskip
The Organizers:

Luigi Ambrosio, luigi@ambrosio.sns.it

Bruno Franchi, franchib@dm.unibo.it

Raul Serapioni, rauser@mate.polimi.it

Francesco Serra Cassano, cassano@science.unitn.it

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http://cvgmt.sns.it/event/26/