Joint International Meeting UMI-DMV Perugia June 18-22, 2007 Special session: Dirac operators in Geometry and Topology

Organizers: Paolo Piazza and Thomas Schick

Description:

Dirac type operators play an important role at the interface between geometry and topology. In many situations, they provide, via analysis, an important link between these areas, e.g. when index theorems are used to force the existence of harmonic spinors which in turn obstructs via existence of a metric of positive scalar curvature. Dirac operators are used to describe and analyze K-theory, one of the most important generalized homology theories. They also play a prominent role in the work around isomorphism conjectures, another driving force of recent developments in geometry and topology and beyond. They show up as one of the crucial ingredients in non-commutative geometries, with many applications to modern mathematical physics. The special section is devoted to all aspects of this work, and to related topics.

Partial financial support for this special seesion has been provided by "Istituto Nazionale di Alta Matematica Francesco Severi", through the GNSAGA, and by "Ministero Ricerca Scientifica" through the project "Spazi di moduli e teorie di Lie".

Time and Date: Thursday, Jun 21, 9:00-11:00 and 14:30-17:00. Friday, Jun 22, 9:00-11:00

Speakers:

Bernd Ammann (Nancy, Potsdam): For generic metrics the kernel of the Dirac operator is minimal

Moulay-Tahar Benameur (Metz): Homotopy invariance of the harmonic higher signature

Jochen Brüning (Berlin):

Daniele Guido (Roma): On L2-invariants for selfsimilar CW-complexes

Tommaso Isola (Roma): Ihara zeta function for infinite graphs

Michael Joachim (Münster): The Gromov-Lawson-Rosenberg Conjecture for finite groups

Gianni Landi (Trieste): Dirac operators on non-commutative manifolds

Wolfgang Lück (Münster): Isomorphism conjectures in K- and L-theory

Michael Puschnigg (Marseille): Fredholm modules over higher rank groups and lattices

Mauro Spera (Verona): On the twistor and spinor geometry of loop spaces

Nicolai Teleman (Ancona): Homology Theories in Non-commutative Geometry

Jean-Louis Tu (Metz): Wrong-way functoriality in twisted K-theory

Ezio Vasselli (Roma): A twist of gauge-equivariant K-theory

Schedule:

	Thursday June 21, 2007	Friday June 22, 2007
09:00 - 09:25	Wolfgang Lück	Bernd Ammann
09:30 - 09:55	Daniele Guido	Nicolai Teleman
10:00 - 10:25	Jochen Brüning	Jean-Louis Tu
10:30 - 10:55	Tommasso Isola	Ezio Vasselli
14:30 - 14:55	Gianni Landi	---
15:00 - 15:25	Michael Joachim	---
15:30 - 15:55	Mauro Spera	---
16:00 - 16:25	Michael Puschnigg	---
16:30 - 17:00	Moulay-Tahar Benameur	---

Further Participants: Alessandro Fermi (Göttingen), Paolo Piazza (Roma), Thomas Schick (Göttingen)

For further information, please contact one of the organizers.