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Fakultät für Mathematik Universität Regensburg
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The coarse Baum Connes conjecture
Semester
WiSe 2024 / 25

Lecturer
Ulrich Bunke

Type of course (Veranstaltungsart)
Vorlesung

German title
Die grobe Baum-Connes Vermutung

Contents
The main goal of this course is to explain a proof of the coarse Baum-Connes conjecture for
bornological coarse spaces of finite asymptotic dimension. To this end we provide an introduction
to the coarse homotopy theory and construct examples of coarse homology theories. We then construct
the coarse assembly map associated to a coarse homology theory and show that it is an equivalence
under appropriate geometric assumption on the space and some further mild conditions on the
coarse homology theory.

Literature
This course is based on the joint work of U. Bunke and A. Engel

Recommended previous knowledge
infinity category language

Time/Date
Mo 10-12

Location
M101

Registration
  • Registration for course work/examination/ECTS: FlexNow
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 25min, Date: individal, re-exam: Date:
Modules
MV, MGAGeo

ECTS
3 ECTS
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