Priority Program Annual Conference

The second Annual Conference of the Priority Program Combinatorial Synergies (SPP2458) takes place in Hannover on September 3-5, 2025.
The goal is to bring together members of the SPP working on the different core themes and to foster collaborations.

Speakers

Schedule

Wednesday Thursday Friday
10:00 – 10:30 Arrival and Welcome 09:00 – 10:00 Ana Botero 09:30 – 10:30 Joshua Maglione
10:30 – 11:30 Laura Ciobanu 10:00 – 10:30 Coffee break 10:30 – 11:00 Coffee break
11:30 – 12:30 Aida Maraj 10:30 – 12:00 Discussion of projects 11:00 – 12:00 Eleonore Faber
12:30 – 14:00 Lunch break 12:00 – 14:00 Lunch break 12:00 – 13:30 Lunch break
14:00 – 15:00 Federico Ardila 14:00 – 15:00 Katharina Jochemko 13:30 – 14:30 Volkmar Welker
15:00 – 15:30 Coffee break 15:00 – 15:45 Marius Lindauer 14:30 – 15:00 Coffee break
15:30 – 16:30 Martin Ulirsch 16:30 – 17:30 Discussion 15:00 – 16:00 Christian Krattenthaler
18:30 Conference Dinner

Registration

Registration is open now via https://forms.gle/Wu93yrpvumpPG9BeA. There is no conference fee, but registration is mandatory.

Venue

The talks take place in the main building of the Leibniz University Hannover.

Funding + Accommodation

There is some funding available for junior participants. Please indicate in the registration form if you need funding.

We have reserved 40 rooms at CVJM City Hotel Hannover, Limburgstrasse 3, until August 4. Please use the magic word "Jahrestagung" at your registration.

Abstracts

Joshua Maglione: Symplectic Hecke eigenbases from Ehrhart polynomials

We consider the functions that map a lattice polytope in R^n to the l-th coefficient of its Ehrhart polynomial for l in {0, 1, ..., n}. These functions form a basis for the space of so-called unimodular invariant valuations. We show that, in even dimensions, these functions are in fact simultaneous symplectic Hecke eigenfunctions. We leverage this and apply the theory of spherical functions and their associated zeta functions to prove analytic, asymptotic, and combinatorial results about arithmetic functions averaging l-th Ehrhart coefficients.

Joint with Claudia Alfes and Christopher Voll

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