Naslov
Eisenstein cohomology and automorphic L-functions

Autori
Grbac, Neven

Vrsta, podvrsta i kategorija rada
Poglavlja u knjigama, znanstveni

Knjiga
Cohomology of Arithmetic Groups

Urednik/ci
Cogdell, James W. ; Harder, Günter ; Kudla, Stephen S. ; Shahidi, Freydoon

Izdavač
Springer

Grad
Cham

Godina
2018

Raspon stranica
35-50

ISBN
978-3-319-95549-0

Ključne riječi
Automorphic cohomology ; Eisenstein cohomology ; Square-integrable cohomology ; Automorphic forms ; Eisenstein series ; Automorphic L-functions ; Non-vanishing conditions ; Franke filtration

Sažetak
During the past ten years of the most inspiring and very fruitful collaboration with Joachim Schwermer, we have carefully studied the non-vanishing conditions for certain summands in the decomposition along the cuspidal support of the (square-integrable) Eisenstein cohomology of a reductive group over a totally real number field. These conditions form a subtle combination of geometric conditions, arising from cohomological considerations, and arithmetic conditions, arising from the analytic properties of Eisenstein series and given in terms of automorphic L-functions. This paper is a survey of the most important results of our long-lasting collaboration.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA