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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Arithmetic Study Group: Denominators of Eisenstein Cohomology

Presented by Rob Little, Durham University

15 November 2016 14:00 in CM301

We look at the geometry of the space SL_2(Z)\G/K = SL_2(Z)\H and its Eisenstein cohomology, a space in its sheaf cohomology separated from the Eichler-Shimura cuspidal classes. We isolate a rational Eisenstein class analogous to both the classical normalised Eisenstein series E_{2k+2}(z) and the algebraic cohomology, and look at a method developed by Funke-Millson, Alfes-Ehlen and others to find its denominator using Shintani lifts, twisted by quadratic discriminants. This gives a recreation of arithmetic results proven by Harder.

Contact pankaj.vishe@durham.ac.uk or athanasios.bouganis@durham.ac.uk for more information