29 mai 2017 à 2 juin 2017
TOULOUSE
Fuseau horaire Europe/Paris

Stratified surgery and the signature operator.

1 juin 2017, 08:50
45m
Amphi Schwartz IMT building 1R3 (TOULOUSE)

Amphi Schwartz IMT building 1R3

TOULOUSE

Paul Sabatier University

Orateur

M. Paolo Piazza

Description

In this talk I will explain how a microlocal approach to elliptic theory on (the regular part of) a Witt or, more generally, a Cheeger space allows to extend the mapping-surgery-to-analysis philosophy to these classes of stratified spaces. In particular, I will report on some recent work with Pierre Albin where, building on the analytic theory developed by Albin, Leichtnam, Mazzeo and myself, we map the Browder-Quinn surgery sequence for Witt or Cheeger stratified spaces to suitable K-theory sequences.

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