Summer School: Analysis, Arithmetics and Geometry:
Zeta-Functions, Trace Formulas, and Around.

June 5-9, 2023, Institut Mittag-Leffler

COST Action 18232 summer school

Stockholm Mathematical Center (SMC) master class

Institut Mittag-Leffler summer school

Stockholm University summer school

Introduction into the theory of spectral zeta-functions and corresponding trace formulas, focusing on the role played by the geometry and understanding arithmetic properties of the spectrum. The theme of the school is intrinsically cross-disciplinary connecting algebra, analysis, geometry and number theory.

Lecture series by:

Klaus Kirsten (American Mathematical Society): Spectral zeta-functions

Peter Sarnak (Princeton University): Arithmetics of trace formulas
- Lecture 1 Prescribing the spectra of locally uniform geometries
- Lecture 2 Prescribing the spectra of cubic graphs
- Lecture 3 The additive structure of the spectrum of a metric graph
Svetlana Jitomirskaya (Georgia Institute of Technology): Singular Continuous Spectra

Lecture 1, 2 Introduction and Simon's Wonderland theorem
Lecture 3 Singular Continuous spectrum for the critical almost Mathieu
Lecture 4 Singular Continuous Spectra and arithmetics
Lecture 5 Singular continuous Cantor spectrum for a moire model

Talks by:

Anders Karlsson (Univ. of Geneva/Uppsla Univ.): Connections between spectral zeta-functions of graphs and spaces
Andreas Strömbergsson (Uppsala Univ.): Visibility and directions in quasicrystals

The Master class was attended by almost 50 Master and PhD students from Sweden and other countries.

More information can be found on the official web-page at Institut Mittag-Lefller.

Organizers: Matthew de Courcy-Ireland, Håkan Hedenmalm, Pavel Kurasov, Delio Mugnolo and Jonathan Rohleder