Modification de MINI-SCHOOL 2022

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<div style="padding:1.1em 0.5em; font-size:150%; color: black;"> '''4th edition of the Mini-school on mathematics for theoretical chemistry and physics'''
(organized by [[Accueil|GDR NBODY]])
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[[Image:Maths1.jpg|500px]]
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In the same spirit than the [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2017 1st edition of the mini-school],  [http://gdrcorelec.ups-tlse.fr/index.php?title=MINI-SCHOOL_2018 2nd edition of the mini-school], and the [3rd edition of the mini-school].
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* '''Date:'''  30 May - 1 June 2022 (to be confirmed)

* '''Location:''' Sorbonne Université, Pierre et Marie Curie (or Jussieu) campus, 4 place Jussieu, 75005, Paris. 
Room to be confirmed.

* '''Lecturers: ''' [https://www.ceremade.dauphine.fr/~lewin/ Mathieu Lewin] and [https://www.lct.jussieu.fr/?page_id=368 Emmanuel Giner]

* '''Organizers:''' [http://qmcchem.ups-tlse.fr/index.php?title=Michel_Caffarel Michel Caffarel], [http://cermics.enpc.fr/~cances/ Eric Cancès], [http://quantique.u-strasbg.fr/doku.php?id=en:pageperso:ef:welcome Emmanuel Fromager], Emmanuel Giner, [http://www.irsamc.ups-tlse.fr/loos/index.html Pierre-François Loos], [http://www.lct.jussieu.fr/pagesperso/toulouse/ Julien Toulouse]. [mailto:minischool@lct.jussieu.fr  email contact]

* '''[[MINI-SCHOOL 2022 List of registered participants|List of registered participants]]'''


==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) '''Finite Group theory''' (9 hours) by '''[https://www.lct.jussieu.fr/?page_id=368 Emmanuel Giner]''', Laboratoire de Chimie Théorique, CNRS and Sorbonne Université, Paris.

Indicative program (subject to changes and extension):<br>
- Definition of symmetries in quantum mechanics<br>
- Definition of groups and related concepts (group axioms, classes)<br>
- Basics of linear representation of groups (representation, irreducible representations, characters)<br>
- Useful theorems of linear representation of groups and their application in quantum mechanics (Schur's Lemma and the Hamiltonian, orthogonality theorems, projection operators)<br>
- Product representations (representation on tensor products vector spaces, Clebsh gordon coefficients, irreducible tensor operators)<br>
- Examples for electronic-structure theory 


<font color="red">
'''Download [ lecture notes]'''
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* 2) '''''' (9 hours) by '''[https://www.ceremade.dauphine.fr/~lewin/ Mathieu Lewin]''', CEREMADE, CNRS and Université Paris Dauphine, Paris
       
Indicative program (subject to changes and extension):<br>

<font color="red">
'''Download [ lecture notes]'''
</font>



== Schedule ==

{| border="5" |
! <center><font color="blue">Wednesday 19 June Morning</font> <br>
Tower 15-16, room 309</center>
! <center><font color="blue">Thursday 20 June Morning</font> <br>
Tower 15-16, room 309</center>
! <center><font color="blue">Friday 21 June Morning</font><br>
Tower 15-16, room 309 </center>
|- align="left"
!'''<font color="red">8:45-9:00 Arrivals/Welcome</font>'''!! !!
|- align="left"
! '''9:00-10:30''' Carl Bender 1
!'''9:00-10:30''' Carl Bender 3
!'''9:00-10:30''' Carl Bender 5
|-align="left"
!<font color="green">10:30-10:45 Coffee break</font> 
!<font color="green">10:30-10:45 Coffee break</font>
!<font color="green">10:30-10:45 Coffee break</font>
|-align="left"
!'''10:45-12:15''' Carl Bender 2
!'''10:45-12:15''' Carl Bender 4
!'''10:45-12:15''' Carl Bender 6
|-align="left"
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
|-align="left"
! <center><font color="blue">Wednesday 19 June Afternoon</font> <br>
Tower 15-16, room 309</center>
! <center><font color="blue">Thursday 20 June Afternoon</font> <br>
Tower 15-16, room 309</center>
! <center><font color="blue">Friday 21 June Afternoon</font><br>
<font color="red">Tower 15-25, room 102</font></center>
|-align="left"
!'''14:00-15:30''' Antoine Levitt 1
!'''14:00-15:30''' Antoine Levitt 3
!'''14:00-15:30''' Antoine Levitt 5
|-align="left"
!  <font color="green">15:30-15:45 Coffee break</font> 
!  <font color="green">15:30-15:45 Coffee break</font> 
!  <font color="green">15:30-15:45 Coffee break</font> 
|-align="left"
!'''15:45-17:15''' Antoine Levitt 2
!'''15:45-17:15''' Antoine Levitt 4
!'''15:45-17:15''' Antoine Levitt 6
|}

== Practical details ==

=== Registration ===

'''Registration is closed.'''

To facilitate the participation of young researchers, no registration fees will be asked.
However, accommodation will not be provided but must be arranged independently by the participants.

=== Location of the mini-school === 

The mini-school will take place on the Pierre et Marie Curie (or Jussieu) campus of [http://www.sorbonne-universite.fr/ 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 '''Tower 16'''. Take the stairs or the elevator to the '''third level'''. Find '''corridor 15-16''', and then the '''room 309'''. This is the seminar room of Laboratoire Jacques-Louis Lions.<br> 
<font color="red">'''Warning: on the last afternoon, we will change room: Tower 15-25, room 102'''</font>

=== Lunches === 
Each day, lunch will be offered to the first 50 registered participants to the mini-school (see the list of registered participants on the page [[MINI-SCHOOL 2019 List of registered participants|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 [http://www.aeroportsdeparis.fr/Adp/en-GB/Passagers/ 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 [http://www.voyages-sncf.com 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 [http://www.ratp.fr/ RATP web site], and in particular the [http://www.ratp.fr/plan-interactif/ Subway and RER map].