ICTP-EAUMP School on Real and Harmonic Analysis | (smr 4087) (21 July 2025

Administration

Description

A School in collaboration with AMU, CIMPA, ISP, CoRE-Math, and University of Rwanda

An ICTP Meeting in person

This school focuses on the foundations of real and harmonic analysis, and their interactions with other areas of pure and applied mathematics.

Real analysis studies the fine properties of functions and sets, while harmonic analysis provides a mathematical framework to study different types of oscillatory phenomena in nature. Together, they lie in the backbone of many applications in other areas, including partial differential equations, complex analysis, number theory, computer science and engineering. In this school, several experts in the field will deliver a series of introductory minicourses presenting core topics and some of these connections.

Mini-Courses:

Week 1
Emanuel Carneiro (ICTP, Italy) - Introduction to Real analysis
Mateus Sousa (BCAM, Spain) - Introduction to Fourier analysis I
Luz Roncal (BCAM, Spain) - Introduction to Fourier analysis II

Week 2
Job Bonyo (MMU, Kenya) - Spaces of analytic functions
Diogo Oliveira e Silva (IST - Lisbon, Portugal) - Nonlinear Fourier analysis and connections to quantum computing

Grants: A limited number of grants are available to support the attendance of selected participants, with priority given to participants from developing countries. There is no registration fee.

Material

Poster Preliminary list of Participants

ICTP-EAUMP School on Real and Harmonic Analysis | (smr 4087)

Go to day

Monday, 21 July 2025

08:40 - 09:00
- 08:40 Opening 20'

09:00 - 17:00

09:00 Minicourse 1: Introduction to Real Analysis - Session I 1h30'

Speaker:	Emanuel CARNEIRO (ICTP, Italy)
Material:	Abstract

10:30 Tea Break 30'
11:00 Minicourse 1: Introduction to Real Analysis - Session II 1h30'

Speaker: Emanuel CARNEIRO (ICTP, Italy)
12:30 Lunch Break 1h30'
14:00 Minicourse 1: Introduction to Real Analysis - Session III 1h30'

Speaker: Emanuel CARNEIRO (ICTP, Italy)
15:30 Tea Break 30'
16:00 Talks by University of Rwanda Professors 1h0'

Tuesday, 22 July 2025

09:00 - 17:00

09:00 Minicourse 1: Introduction to Real Analysis - Session IV 1h30'

Speaker: Emanuel CARNEIRO (ICTP, Italy)
10:30 Tea Break 30'
11:00 Minicourse 1: Introduction to Real Analysis - Session V 1h30'

Speaker: Emanuel CARNEIRO (ICTP, Italy)
12:30 Lunch Break 1h30'

14:00 Minicourse 2: Introduction to Fourier Analysis - Session I 1h30'

Speaker:	Luz RONCAL (BCAM, Spain)
Material:	Abstract

15:30 Tea Break 30'
16:00 Minicourse 2: Introduction to Fourier Analysis - Session II 1h0'

Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)

Wednesday, 23 July 2025
- 09:00 - 17:00
  - 09:00 Minicourse 2: Introduction to Fourier Analysis - Session III 1h30'
    
    Speaker: Luz RONCAL (BCAM, Spain)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 2: Introduction to Fourier Analysis - Session IV 1h30'
    
    Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)
  - 12:30 Lunch Break 1h30'
  - 14:00 Mini Project Discussion 1h0'
  - 15:00 Mini Project Discussion 1h0'
  - 16:00 Mini Project Discussion 1h0'
Thursday, 24 July 2025
- 09:00 - 17:00
  - 09:00 Minicourse 2: Introduction to Fourier Analysis - Session V 1h30'
    
    Speaker: Luz RONCAL (BCAM, Spain)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 2: Introduction to Fourier Analysis - Session VI 1h30'
    
    Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)
  - 12:30 Lunch Break 1h30'
  - 14:00 Minicourse 2: Introduction to Fourier Analysis - Session VII 1h30'
  - 15:30 Tea Break 30'
  - 16:00 Minicourse 2: Introduction to Fourier Analysis - Session VIII 1h0'
    
    Speaker: Luz RONCAL (BCAM, Spain)
Friday, 25 July 2025
- 09:00 - 16:30
  - 09:00 Minicourse 2: Introduction to Fourier Analysis - Session IX 1h30'
    
    Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 2: Introduction to Fourier Analysis - Session X 1h30'
    
    Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)
  - 12:30 Lunch Break 1h30'
  - 14:00 Colloqium 1h0'
    
    Speaker: Luz RONCAL (BCAM, Spain)
  - 15:00 Tea Break 30'
  - 15:30 Colloqium 1h0'
    
    Speaker: Mateus SOUSA (Basque Center for Applied Mathematics, Spain)

Monday, 28 July 2025

09:00 - 17:00

09:00 Minicourse 3: Nonlinear Fourier analysis and connections to quantum computing - Session I 1h30'

Speaker:	Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
Material:	Abstract

10:30 Tea Break 30'
11:00 Minicourse 3: Nonlinear Fourier analysis and connections to quantum computing - Session II 1h30'

Speaker: Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
12:30 Lunch Break 1h30'

14:00 Minicourse 4: Spaces of analytic functions and their operators - Session I 1h30'

Speaker:	Job Otieno BONYO (Multimedia University, Kenya)
Material:	Abstract

15:30 Tea Break 30'
16:00 Talks by University of Rwanda Professors 1h0'

Tuesday, 29 July 2025
- 09:00 - 17:00
  - 09:00 Minicourse 3:Nonlinear Fourier analysis and connections to quantum computing - Session III 1h30'
    
    Speaker: Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 3: Nonlinear Fourier analysis and connections to quantum computing - Session IV 1h30'
    
    Speaker: Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
  - 12:30 Lunch Break 1h30'
  - 14:00 Minicourse 4: Spaces of analytic functions and their operators - Session II 1h30'
    
    Speaker: Job Otieno BONYO (Multimedia University, Kenya)
  - 15:30 Tea Break 30'
  - 16:00 Colloqium 1h0'
    
    Speaker: Emanuel CARNEIRO (ICTP, Italy)
Wednesday, 30 July 2025
- 09:00 - 17:00
  - 09:00 Minicourse 4: Spaces of analytic functions and their operators - Session III 1h30'
    
    Speaker: Job Otieno BONYO (Multimedia University, Kenya)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 4: Spaces of analytic functions and their operators - Session IV 1h30'
    
    Speaker: Job Otieno BONYO (Multimedia University, Kenya)
  - 12:30 Lunch Break 1h30'
  - 14:00 Mini Project Discussion 1h0'
  - 15:00 Mini Project Discussion 1h0'
  - 16:00 Mini Project Discussion 1h0'
- 18:00 - 20:00
  - 18:00 Conference Dinner 2h0'
Thursday, 31 July 2025
- 09:00 - 16:30
  - 09:00 Minicourse 3: Nonlinear Fourier analysis and connections to quantum computing - Session V 1h30'
    
    Speaker: Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
  - 10:30 Tea Break 30'
  - 11:00 Minicourse 4: Spaces of analytic functions and their operators - Session V 1h30'
    
    Speaker: Job Otieno BONYO (Multimedia University, Kenya)
  - 12:30 Lunch Break 1h30'
  - 14:00 Colloqium 1h0'
    
    Speaker: Diogo Gaspar Teixeira OLIVEIRA E SILVA (Instituto Superior Tecnico, Portugal)
  - 15:00 Tea Break 30'
  - 15:30 Colloqium 1h0'
    
    Speaker: Job Otieno BONYO (Multimedia University, Kenya)
Friday, 1 August 2025
- 09:00 - 14:30
  - 09:00 Sort talks by University of Rwanda Students 1h30'
  - 10:30 Tea Break 30'
  - 11:00 Talks by University of Rwanda Professors 1h0'
  - 12:00 Round table for Mini Project Discussion 1h0'
  - 13:00 Closing 30'
  - 13:30 Lunch Break 1h0'