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Eisenstein cocycles in motivic cohomology

Leertaste = Abspielen/Pausieren
m = Stumm
f = Vollbild
Pfeil-links = Zurückspulen
Pfeil-rechts = Vorspulen
Romyar Sharifi

Eisenstein cocycles in motivic cohomology

I will discuss joint work with Akshay Venkatesh on GL2(Z)-cocycles valued in second K-groups of the function fields of the squares of the multiplicative group over the rationals and of a universal elliptic curve over a modular curve, as well as their specializations to explicit, Hecke-equivariant maps taking modular symbols to special elements in second motivic cohomology groups of cyclotomic fields and modular curves. With an eye towards generalizations, I hope to explain the point of view by which these group cohomology classes are viewed as arising from classes in equivariant motivic cohomology.