MINI-SCHOOL 2019
In the same spirit than the 1st edition of the mini-school and 2nd edition of the mini-school
- Date: 19-21 June 2019
- Location: Sorbonne Université, Pierre et Marie Curie (or Jussieu) campus, 4 place Jussieu, 75005, Paris. Laboratoire Jacques-Louis Lions, tower/corridor 15-16, 3rd floor, room 309
- Lecturers: Carl Bender and Antoine Levitt
- Organizers: Michel Caffarel, Eric Cancès, Emmanuel Fromager, Emmanuel Giner, Pierre-François Loos, Julien Toulouse. email contact
Presentation
- The lectures delivered are intended to be of interest to any person working in the field of theoretical chemistry and physics and willing to discover or deepen the mathematical aspects of the theoretical methods. Master and PhD students, post-docs and any academic are welcome!
- To provide a detailed presentation of subjects, we have chosen to give a good amount of time to each lecturer. The mini-school will thus involve only two lecturers over a three-day period.
Program
Two courses will be proposed:
- 1) Complex analysis (9 hours) by Antoine Levitt, INRIA and Ecole des Ponts, Paris, France.
Indicative program (subject to changes and extension):
- Complex numbers
- Holomorphic functions, elliptic functions. Applications to electrostatics and fluid mechanics
- Power series, analytic continuation, poles and branches
- Contour integrals, functional calculus. Application to finite temperature perturbation theory
- Fourier and Laplace transforms of causal functions, the "i0+ trick", Kramers Kronig relations
- Paley Wiener theory. Application to Fourier and Chebyshev approximation, and decay of the density matrix
- 2) Perturbation theory, summation theory, and PT-symmetric quantum theory (9 hours) by Carl Bender, Washington University in St. Louis, USA
Indicative program (subject to changes and extension): to be announced
Schedule
| Wednesday 19 June
morning |
Thursday 20 June
Tower 15-16, room 309 |
Friday 20 June
Tower 15-16, room 309 |
|---|---|---|
| 8:45-9:00 Arrivals/Welcome | ||
| 9:00-10:30 Lecture 1 | 9:00-10:30 Lecture 5 | 9:00-10:30 Lecture 9 |
| 10:30-10:45 Coffee break | 10:30-10:45 Coffee break | 10:30-10:45 Coffee break |
| 10:45-12:15 Lecture 2 | 10:45-12:15 Lecture 6 | 10:45-12:15 Lecture 10 |
| 12:15-14:00 Lunch | 12:15-14:00 Lunch | 12:15-14:00 Lunch |
| 14:00-15:30 Lecture 3 | 14:00-15:30 Lecture 7 | 14:00-15:30 Lecture 11 |
| 15:30-15:45 Coffee break | 15:30-15:45 Coffee break | 15:30-15:45 Coffee break |
| 15:45-17:15 Lecture 4 | 15:45-17:15 Lecture 8 | 15:45-17:15 Lecture 12 |
Practical details
Registration
If you are interested and willing to participate, please register by sending an email at
and indicate:
- your name and affiliation;
- whether you want to participate to the group lunches the 3 days;
- whether you are a CNRS staff (permanent or non permanent).
To facilitate the participation of young researchers, no registration fees will be asked.
Warning: the maximum number of participants will be around 50.
Location of the mini-school
The mini-school will take place on the Pierre et Marie Curie (or Jussieu) campus of Sorbonne Université, 4 place Jussieu, 75005 Paris.
Subway (Metro) lines 7 or 10: get off at "Jussieu" station.
From the main entrance of the campus, go to ...
Lunches
Each day, lunch will be offered to all registered participants to the mini-school (see the list of registered participants on the page List of registered participants).
Arriving by Plane
Both Paris-Charles de Gaulle (CDG) and Paris-Orly international airports are connected to the center of Paris by RER (fast regional railway) or coaches. The RER is connected to the subway (Metro) network. It costs about 10 euros to go from either airport to the center of Paris and it takes about one hour.
For more information, check the Paris airports website.
From Paris-Charles de Gaulle (CDG) airport
From the airport take RER line B. Stop at "St-Michel-Notre-Dame" station. Take subway line 10 direction "Austerlitz" and stop at "Jussieu" station.
From Paris-Orly airport
From the airport take the monorail "OrlyVal" to "Antony". Take RER line B. Stop at "St-Michel-Notre-Dame" station. Take subway line 10 direction "Austerlitz" and stop at "Jussieu" station.
Arriving by Train
All the railway stations are in downtown Paris and are connected to the subway network. For train reservation, check the SNCF web site.
From any train station follow the sign "M" to the subway.
Arriving by Subway or Bus
For more information on the RER, Subway and Bus systems, check the RATP web site, and in particular the Subway and RER map.