This is a week-long workshop on the general theme of topology, geometry and geometric analysis on stratified spaces. The field holds remarkable vitality: witness the impressive scope of new results in this field regularly announced on the arXiv, the substantial number of very talented young researchers working in this area, and the many important open questions.  This workshop will bring together a diverse set of research communities, focusing on the various ways in which stratified spaces arise in specific problems in geometric analysis, mathematical physics and topology, and the various techniques which are being brought to bear on these problems.
 
Topics to be treated include:
 
– Index theory and de Rham-Hodge theory on stratified pseudo manifolds
 
– Topology of complex projective varieties
 
– Group actions
 
– Surgery theory
 
– Interaction between topology and analysis.
Specifically: intersection cohomology and L2 cohomology, singular characteristic classes, singular elliptic cohomology and its relation to index theory.
 
– Secondary invariants on locally symmetric spaces and stratified pseudo manifolds
 
– Spectral Theory

Scientific Committee

Shmuel Weinberger (University of Chicago)
Jonathan Woolf (University of Liverpool)
Richard Melrose (Massachusetts Institute of Technology)

Organizing Committee

Eric Leichtnam (Institut de Mathématiques de Jussieu-Paris Rive-Gauche)
Rafe Mazzeo (Stanford University)
Paolo Piazza ( Sapienza Rome)

Speakers

• Pierre Albin (University of Illinois at Urbana-Champain)

Extending the Cheeger-Muller theorem through degeneration

• Bernd Amman (Universität Regensburg)

Regularity of eigenfunctions of the Schrödinger equation

• Jesus Alvarez-Lopez (Universidade de Santiago de Compostela)

Witten’s perturbation on strata with general adapted metrics

• Eric Bahuaud (Stanford University)

The Yamabe  flow of an incomplete edge metric

• Markus Banagl (Universität Heidelberg)

The L-Homology Fundamental Class for Singular Spaces and the stratified Novikov Conjecture

• Francesco Bei (Humboldt-Universität zu Berlin)

On the Hodge-Kodaira Laplacian on the canonical bundle of a compact Hermitian complex space

• Jochen Brüning (Humboldt-Universität zu Berlin)

Global analysis of Thom-Mather spaces

• Ksenia Fedosova (Universität Bonn)

Analytic torsion of hyperbolic finite volume orbifolds

• Lorenzo Foscolo (Stony Brook University)

ALC manifold with special holonomy

• Karsten Fritzsch (University College London)

The Neumann{Poisson Operator for Touching Hypersurfaces

• Colin Guillarmou (ENS Paris)

Liouville Quantum Field Theory on Riemann surfaces

• Thomas Krainer (Penn State Altona)

The Friedrichs extension for elliptic wedge operators of second order

• Jean-Marie Lescure (Université Blaise Pascal Clermont-Ferrand )

Fourier integral operators on Lie groupoids

• Xiaonan Ma (Université Paris Diderot)

Bergman kernels on punctured Riemann surfaces

• Laurentiu Maxim (University of Wisconsin-Madison)

Alexander-type invariants of hypersurface complements

• Richard Melrose (Massachusetts Institute of Technology)

Planar Hilbert schemes and L2 cohomology

• Ilaria Mondello (Université de Nantes)

An Obata-Lichnerowicz theorem for stratified spaces

• Werner Müller (Universität Bonn)

Analytic torsion for locally symmetric spaces of finite volume

• Leslie Saper (Duke University)

L2 -cohomology and the theory of weights

• Shu Shen (Humboldt-Universität zu Berlin)

Analytic Torsion and dynamical zeta function on locally symmetric spaces

• Michael Singer (University College London)

Monopole compactifiation and the Sen conjecture

• Shmuel Weinberger (University of Chicago)

Recent Developments regarding Higher Rho invariants

• Jon Woolf (University of Liverpool)

Simplicial homotopy theory for stratified spaces

• Min Yan (Hong Kong University of Science and Technology)

Periodicity, Stratified Spaces, and Multiaxial Manifolds