Algebraic K-theory and locally symmetric spaces
Algebraic K-theory and locally symmetric spaces
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Søren Galatius, Columbia
IAS - Simonyi Hall 101
The compactly supported cohomology groups of the locally symmetric space for GL_n(Z) form, as n varies the E_1 page of a spectral sequence. This spectral sequence was introduced by Quillen in 1973 in his proof of finite generation of K-groups, but also seems independently interesting as an organizing tool. I will discuss joint work with Brown, Chan, and Payne on algebraic structures in this spectral sequence and a relationship to certain "graph complexes" introduced by Kontsevich in the 1990s.