Shtuka cohomology and special values of Goss L-functions

Author(s):
Mornev, M.
Published
2018
Publication type
Doctoral Thesis

Abstract

Assuming everywhere good reduction we generalize the class number formula of Taelman to Drinfeld modules over arbitrary coefficient rings. In order to prove this formula we develop a theory of shtukas and their cohomology.

Drinfeld modulesShtukas
Defense date
2018-02-13
Language
English
Supervisor(s)
Edixhoven, S.J.; Taelman, L.
Committee member(s)
Vaart, A.W. van der; Smit, B. de; Böckle, G.; Hartl, U.
Qualification
Ph.D.
Degree granting institution
Mathematisch Instituut, research group Algebra, Geometry and Number Theory, Science, Leiden University, Leiden
hdl
1887/61145

Funding

Sponsorship
ALGANT consortium, Universiteit Leiden