About the Spring School
Welcome to the Poznań Spring School in Mathematical Physics! This event will be held at Adam Mickiewicz University in Poznań, Faculty of Mathematics and Computer Science, from April 7 to April 16, 2025.
The Spring School aims to bring together PhD students and researchers in mathematical physics to discuss the latest advancements in mathematical quantum field theory and many-body systems.
The study of interacting Bose gases, particularly Bose–Einstein condensation, has gained significant attention in recent years due to their rich quantum phenomena. Quantum energy inequalities in quantum field theories impose constraints on negative energy densities. Both interacting Bose gases and quantum energy inequalities showcase fascinating quantum effects with no counterpart in classical physics. In this Spring School, we want to discuss the mathematical frameworks underlying these phenomena.
Program Highlights:
Week 1 (07.–11.04.): Two lecture series introducing key mathematical concepts from quantum field theory in curved spacetimes and Bose–Einstein condensation.
Week 2 (14.–16.04.): Continuation of the lecture series on quantum field theory in curved spacetimes.
More details of the program can be found below. Participants can register for the first or for both weeks.
As a special session, the Spring School will feature the 20th Colloquium on Mathematics and Foundations of Quantum Theory, co-organised by Dirk Deckert (LMU Munich), Felix Finster (Regensburg), and Peter Pickl (Tübingen).
Organisers: Wojciech Dybalski, Janik Kruse
Lecture Speakers
Marcin Napiórkowski
University of Warsaw
Bose–Einstein Condensation
Ko Sanders
Leibniz University Hannover
Quantum Field Theory in Curved Spacetimes
Abstracts
Bose–Einstein Condensation – a mathematical physics perspective (BC)
Interacting bosons are unique quantum systems whose low-temperature phases exhibit fascinating quantum mechanical effects at a macroscopic scale. The goal of these lectures will be to present mathematical foundations and recent developments related to the mathematical study of such systems.
Quantum Field Theory in Curved Spacetimes (QFT)
These lectures aim to provide an up-to-date introduction to the mathematical structure of Lagrangian Quantum Field Theories in curved spacetimes. A particular topic of interest are the Energy Conditions of General Relativity and the corresponding Quantum Energy Inequalities for quantum fields. We will discuss their range of validity and their consequences for the mathematical structure and for the physical predictions of the framework (e.g. the celebrated Singularity Theorems of Hawking and Penrose).
Registration
To register, please complete the form at this link.
- General registration deadline: April 1, 2025.
- Deadline for talk submissions:
March 15, 2025extended until March 26, 2025.
The contributed talks do not have to be directly related to the main topics of the Spring School.
If you plan to attend the dinner and have any dietary preferences, please mention them in the comments section of the form. We will do our best to accommodate all dietary needs when selecting a restaurant.
Venue
The Spring School will take place at the Faculty of Mathematics and Computer Science on Kampus Morasko. The campus is easily accessible from the city centre by tram. The nearest stop is Osiedle Sobieskiego, from where it is about a 10-minute walk to the institute. The main entrance lies on the north side of the building.
The lectures and the colloquium will be held in Room A1-33/34.
Address:
Faculty of Mathematics and Computer Science
Adam Mickiewicz University
ul. Uniwersytetu Poznańskiego 4
61-614 Poznań, Poland
Accommodation: We recommend booking a hotel in the city centre of Poznań, e.g. Hotel Mercure, Hotel Kolegiacki, or Traffic Hotel Stare Miasto.
Travel to Poznań: Poznań is well-connected by train from most major Polish and German cities. For example, a direct train from Berlin takes around 2.5 hours. There are also several Flixbus connections to Poznań. The city has an international airport.
Program
Program of Week 1 (07.–11.04.): Room A1-33/34
| Time | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 09:00 – 10:30 |
QFT | QFT | QFT | QFT | QFT |
| 10:30 | break | break | break | break | break |
| 11:00 – 12:30 |
BC | BC | BC | BC | BC |
| 12:30 | Lunch | Lunch | Lunch | Lunch | Lunch |
| 14:00 – 18:00 |
Colloquium | Contributed Talks | Contributed Talks | ||
| 19:00 | Dinner |
Program of Week 2 (14.–16.04.):
| Time | Monday | Tuesday | Wednesday | Thursday | Friday |
|---|---|---|---|---|---|
| 09:00 – 10:30 |
QFT | QFT | QFT | ||
| 10:30 | break | break | |||
| 11:00 – 12:30 |
QFT | QFT | |||
| 12:30 | Lunch | Lunch |
Colloquium
As a special session, the Spring School will feature the 20th Colloquium on Mathematics and Foundations of Quantum Theory.
Program of the Colloquium:
14:00–14:45: Ko Sanders (Hannover)
14:45–15:30: Marcin Napiórkowski (Warsaw)
15:30–16:15: break
16:15–17:00: Shadi Tahvildar-Zadeh (Rutgers)
17:00–17:30: Fabian Nolte (LMU Munich)
17:30–18:00: Marco van den Beld Serrano (Regensburg)
Participants
- Syed Hasan Abid – Technical University of Munich
- Adriano Chialastri – SISSA Trieste
- Wojciech Dybalski – Adam Mickiewicz University Poznań
- Felix Finster – University of Regensburg
- Sidnei Guerino Fabris Junior – Federal University of Parana
- Janik Kruse – Adam Mickiewicz University Poznań
- Sascha Lill – University of Milan
- Fabian Nolte – LMU Munich
- Marcin Napiórkowski – University of Warsaw
- Peter Pickl – Eberhard Karl University of Tübingen
- Ko Sanders – Leibniz University Hannover
- Arif Sarkar – Adam Mickiewicz University Poznań
- Shadi Tahvildar-Zadeh – Rutgers University
- Marco van den Beld Serrano – University of Regensburg
- Pierre Wang – Ecole Polytechnique
- Fabrizio Zanello – University of Potsdam