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Department of Mathematical Sciences

Seminars

This week's seminars

Arithmetic Study Group: Phantom holomorphic projection

Presented by Katrin Maurischat, University of Heidelberg

13 November 2018 14:00 in CM301

Orthogonal holomorphic projection of non-holomorphic modular forms is an
important tool for arithmetic applications.
Sturm's convolution method describes the holomorphic projection
reliably for Siegel modular forms of large weights.
We discuss Sturm's operator for small weights, the critical weight being
one larger than the group rank.
In this case it does not only produce the terms of holomorphic
projection but also so-called phantom terms.
We give a spectral theoretic interpretation of these phantom terms.

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

Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.