Analysis, Geometry and Topology of Stratified Spaces
June 13-17, 2016
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)


Extending the Cheeger-Muller theorem through degeneration

Regularity of eigenfunctions of the Schrödinger equation

Witten’s perturbation on strata with general adapted metrics

The Yamabe  flow of an incomplete edge metric

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

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

Global analysis of Thom-Mather spaces

Analytic torsion of hyperbolic finite volume orbifolds

ALC manifold with special holonomy

The Neumann{Poisson Operator for Touching Hypersurfaces

Liouville Quantum Field Theory on Riemann surfaces

The Friedrichs extension for elliptic wedge operators of second order

Fourier integral operators on Lie groupoids

Bergman kernels on punctured Riemann surfaces

Alexander-type invariants of hypersurface complements

Planar Hilbert schemes and L2 cohomology

An Obata-Lichnerowicz theorem for stratified spaces

Analytic torsion for locally symmetric spaces of finite volume

L2 -cohomology and the theory of weights

  • Shu Shen (Humboldt-Universität zu Berlin)

Analytic Torsion and dynamical zeta function on locally symmetric spaces

Monopole compactifiation and the Sen conjecture

Recent Developments regarding Higher Rho invariants

Simplicial homotopy theory for stratified spaces

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

Periodicity, Stratified Spaces, and Multiaxial Manifolds