Contemporary Harmonic Analysis and its Synergies (CHAS) is a research program organized within the Simons Semester initiative, running from August 1st to September 30th in Wrocław, Będlewo, and Warsaw. 

Harmonic analysis is a field of mathematics that originated from the theory of Fourier series, pioneered by Jean B. Fourier in the early 19th century. Its fundamental concept involves decomposing a studied object into a sum/integral of simpler or basic components, often referred to as "frequencies". The methods of harmonic analysis have wide-ranging applications not only in mathematics but also in various real-life technologies. 

The aim of the program is to present recent developments in harmonic analysis and related areas, with special emphasis on:

• Decoupling and its applications

• Discrete analogues in harmonic analysis

• Applications of harmonic analysis to PDE

• Related questions of analytic number theory

• High-dimensional problems in harmonic analysis and related fields

For more details about the program, please refer to the following link.

The semester consists of three events:

• The main part of the program will be held in Wrocław, excluding the two weeks mentioned below, and will feature regular seminars, mini-courses, and series of lectures. The activities will be thematically divided into weeks, allowing you to organize your stay accordingly.

• Summer school  Recent Developments in Harmonic Analysis  in Będlewo from August 19th to August 23rd.

• Conference  Contemporary Harmonic Analysis and its Synergies  in Warsaw from September 9th to September 13th.

For details on how to register and other practical information, please refer to this link.

The semester is organized by the Institute of Mathematics of the Polish Academy of Sciences, and co-organized by the University of Wrocław.

Main organizers

Adam Nowak  (Institute of Mathematics, Polish Academy of Sciences)

Luz Roncal  (Basque Center for Applied Mathematics)

Błażej Wróbel  (Institute of Mathematics, Polish Academy of Sciences & University of Wrocław)

Contact information

email chas@impan.pl