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l²-invariants of locally symmetric spaces

l²-invariants of locally symmetric spaces
Datum:

28.11.2019

Ort:

2.058 (20.30)

Referent:

Zhicheng Han

Zeit:

15:45

In this talk we will discuss Martin Olbrich's method to compute l²-invariants of locally symmetric spaces, namely the Plancherel formula and relative (g, K)-cohomology. I will briefly talk about the basics of Lie groups and correct one constant in the paper of Olbrich regarding the computation of l²-torsion. If time permits, I will explain further applications of the method in the computation of l²-torsion with twisted coefficients and the work of Bergeron and Venkatesh on strongly acyclic representations.