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<div style="padding:1.1em 0.5em; font-size:150%; color: black;"> '''Mini-school on mathematics in electronic structure theory of GDR CORREL 2017'''
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[[Image:Maths1.jpg|500px]]
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See also the [[MINI-SCHOOL 2018|2nd edition of the mini-school]], April 2018, Paris.
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* '''Date:''' 09-11 January 2017
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* '''Location:''' Université Pierre et Marie Curie (UPMC), Jussieu campus, 4 place Jussieu, 75005, Paris.
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Laboratoire Jacques-Louis Lions, tower/corridor 15-16, 3rd floor, room 309
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* '''Lecturers: ''' Eric Cancès and Trygve Helgaker
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* '''Organizers:''' Michel Caffarel, Eric Cancès, Emmanuel Fromager, Julien Toulouse. [mailto:gdrcorrel-owner@lct.jussieu.fr email contact]
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* '''Participants:''' [[MINI-SCHOOL 2017 List of registered people|List of registered people]] (with information about housing and lunches)
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'''Registration is closed'''
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 +
 +
 
==Presentation==   
 
==Presentation==   
−
 
−
    The lectures delivered are intended to be of interest to any person working in the field of electronic structure theory and willing to discover or deepen the mathematical aspects of the methods. PhD students, post-docs or 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 workshop will thus typically involve only two or three lecturers over a three-day period.
+
* The lectures delivered are intended to be of interest to any person working in the field of electronic structure theory and willing to discover or deepen the mathematical aspects of the methods. PhD students, post-docs or 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 workshop will thus involve only two lecturers over a three-day period.
  
  
 
==Program==
 
==Program==
  
−
  Two lectures will be proposed:
 
  
−
  1) "Operator theory for electronic structure calculation"
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Two lectures will be proposed:
−
      by Eric Cancès, Ecole des Ponts and INRIA, Paris, France
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* 1) '''Operator theory for electronic structure calculation''' by '''Eric CANCES''', Ecole des Ponts and INRIA, Paris, France
 +
 
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Indicative program (subject to changes and extension):
 +
 
 +
- Hilbert spaces<br>
 +
- Linear operators on Hilbert spaces<br>
 +
- Self-adjointness<br>
 +
- Spectra of self-adjoint operators: point vs continuous spectrum, discrete vs essential spectrum<br>
 +
- Some examples in quantum chemistry: N-body Schödinger equation, Hartree-Fock and Kohn-Sham hamiltonians<br>
 +
- Some examples in solid state physics: Bloch theory, periodic Kohn-Sham hamiltonians<br>
 +
 
 +
[[Media:Cances_Paris_2017.pdf |'''<font color="red">Download Eric Cancès' slides</font>''']]
 +
 
 +
 
 +
*  2) '''Principles of density-functional theory''' by '''Trygve HELGAKER''' Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, Norway
 +
 
 +
Indicative program (subject to changes and extension):
 +
 
 +
- Hohenberg–Kohn theory (Hohenberg–Kohn theorem and concavity, Lieb variation principles, v-representable densities, etc.)<br>
 +
- Levy–Lieb constrained-search theory, N-representable densities, the Levy–Lieb constrained-search functional, etc<br>
 +
- Lieb convex-conjugate theory, convex functions and convex conjugation, the Lieb convex-conjugate functional, etc<br>
 +
- Discontinuity and nondifferentiability of the universal functional conditions, etc.<br>
 +
- and much more.
 +
 
 +
[http://folk.uio.no/helgaker/talks/Paris_2017.pdf '''<font color="red">Download Trygve Helgaker's slides</font>''']
 +
 
 +
 
 +
[[Image:IMG 20170109 120004.jpg|400px]] [[Image:IMG 20170111 161950.jpg|250px]] [[Image:IMG 20170109 120118.jpg|400px]]
 +
 
 +
 
 +
In addition, we would like to point out the following books written by three members of Laboratoire Jacques-Louis Lions:
 +
 
 +
- Brezis, Haim,  Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, New York, 2011. xiv+599. For a particular focus on partial differential equations.
 +
 
 +
- Ciarlet, Philippe G. Linear and Nonlinear Functional Analysis with Applications. Society for Industrial and Applied Mathematics, Philadelphia, PA, 2013. The fundamental facts of functional analysis and differential geometry by an expert in elasticity and numerical analysis.
 +
 
 +
- Penot Jean Paul, Analysis. From Concepts to Applications, Universitext, Springer, London, 2016. The basic elements of topology, functional analysis, convexity, optimization, integration, Sobolev spaces and partial differential equations.
 +
 
 +
== Schedule ==
 +
 
 +
{| border="5" |
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! <font color="blue">Monday 9 January </font>
 +
Tower 15-16, room 309
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! <font color="blue">Tuesday 10 January</font>
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Tower 15-16, room 309
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! <font color="blue">Wednesday 11 January</font>
 +
Tower 15-16, room 309
 +
|- align="left"
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!'''<font color="red">8:45-9:00 Arrivals/Welcome</font>'''!! !!
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|- align="left"
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! '''9:00-10:30''' Trygve Helgaker 1
 +
!'''9:00-10:30''' Eric Cancès 3
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!'''9:00-10:30''' Trygve Helgaker 4
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|-align="left"
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!<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"
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!'''10:45-12:15''' Trygve Helgaker 2
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!'''10:45-12:15''' Trygve Helgaker 3
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!'''10:45-12:15''' Trygve Helgaker 5
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|-align="left"
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!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
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!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
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!  <font color="green">12:15-14:00 Lunch at L'Ardoise (Tower 25)</font>
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|-align="left"
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!'''14:00-15:30''' Eric Cancès  1
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!'''14:00-15:30''' Eric Cancès 4
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!'''14:00-15:30''' Trygve Helgaker 6
 +
|-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"
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!'''15:45-17:15''' Eric Cancès 2
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!'''15:45-17:15''' Eric Cancès 5
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!'''15:45-17:15''' Eric Cancès 6
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|}
 +
 
 +
 
 +
== Practical details ==
 +
 
 +
=== Location of the mini-school ===
 +
 
 +
The mini-school will take place on the Jussieu campus of [http://www.upmc.fr Université Pierre et Marie Curie (UPMC)], 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.
 +
 
 +
=== Registration fees ===
 +
 
 +
To facilitate the participation of young researchers, no registration fees will be asked.
 +
 
 +
=== Housing  ===
 +
 
 +
We have tried our best to offer housing in student-type accomodation at [http://www.fiap.paris/ FIAP Jean Monnet], 30 Rue Cabanis, 75014 Paris.
 +
 
 +
'''See details about housing arrangement on the page [[MINI-SCHOOL 2017 List of registered people|List of registered people]]'''
 +
 
 +
=== Lunches ===
 +
12:15-14:00 at '''Restaurant L'Ardoise''', Jussieu campus,  between Tower 25 and Tower 26. Lunch is offered to all registered participants to the mini-school.
 +
 
 +
'''See the list of registered participants on the page [[MINI-SCHOOL 2017 List of registered people|List of registered people]]'''
 +
 
 +
=== 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.
  
−
    Indicative program (subject to changes and extension):
+
For more information, check the [http://www.aeroportsdeparis.fr/Adp/en-GB/Passagers/ Paris airports website].
  
−
    - Hilbert spaces
+
=====From Paris-Charles de Gaulle (CDG) airport=====
−
    - Linear operators on Hilbert spaces
+
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.
−
    - Self-adjointness
 
−
    - Spectra of self-adjoint operators: point vs continuous spectrum,
 
−
      discrete vs essential spectrum
 
−
    - Some examples in quantum chemistry (N-body Schödinger equation,
 
−
      Hartree-Fock and Kohn-Sham hamiltonians)
 
−
    - Some examples in solid state physics (Bloch theory,
 
−
      periodic Kohn-Sham hamiltonians)
 
  
−
  2) "Fundamentals of DFT" (tentative title)
+
=====From Paris-Orly airport=====
−
      by Trygve Helgaker Centre for Theoretical and Computational Chemistry
+
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.
−
      Department of Chemistry, University of Oslo, Norway
 
  
−
    Indicative program (subject to changes and extension):
+
===Arriving by Train===
  
−
    1. Hohenberg–Kohn theory (Hohenberg–Kohn theorem and concavity,
+
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].
−
      Lieb variation principles, v-representable densities, etc.
 
−
    2. Levy–Lieb constrained-search theory, N-representable densities,
 
−
      the Levy–Lieb constrained-search functional, etc.
 
−
    3. Lieb convex-conjugate theory, convex functions and convex conjugation,
 
−
      the Lieb convex-conjugate functional, etc
 
−
    4. Discontinuity and nondifferentiability of the universal functional conditions, etc.
 
−
    ... etc.
 
  
 +
From any train station follow the sign "M" to the subway.
  
−
  Important: To facilitate the participation of young researchers, no
+
===Arriving by Subway or Bus===
−
  registration fees will be asked and housing in student-type accomodation
+
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].
−
  will be offered.
 

Version actuelle datée du 6 février 2019 à 14:51

Mini-school on mathematics in electronic structure theory of GDR CORREL 2017

Maths1.jpg

See also the 2nd edition of the mini-school, April 2018, Paris.


  • Date: 09-11 January 2017
  • Location: Université Pierre et Marie Curie (UPMC), Jussieu campus, 4 place Jussieu, 75005, Paris.

Laboratoire Jacques-Louis Lions, tower/corridor 15-16, 3rd floor, room 309

  • Lecturers: Eric Cancès and Trygve Helgaker
  • Organizers: Michel Caffarel, Eric Cancès, Emmanuel Fromager, Julien Toulouse. email contact

Registration is closed


Presentation

  • The lectures delivered are intended to be of interest to any person working in the field of electronic structure theory and willing to discover or deepen the mathematical aspects of the methods. PhD students, post-docs or 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 workshop will thus involve only two lecturers over a three-day period.


Program

Two lectures will be proposed:

  • 1) Operator theory for electronic structure calculation by Eric CANCES, Ecole des Ponts and INRIA, Paris, France

Indicative program (subject to changes and extension):

- Hilbert spaces
- Linear operators on Hilbert spaces
- Self-adjointness
- Spectra of self-adjoint operators: point vs continuous spectrum, discrete vs essential spectrum
- Some examples in quantum chemistry: N-body Schödinger equation, Hartree-Fock and Kohn-Sham hamiltonians
- Some examples in solid state physics: Bloch theory, periodic Kohn-Sham hamiltonians

Download Eric Cancès' slides


  • 2) Principles of density-functional theory by Trygve HELGAKER Centre for Theoretical and Computational Chemistry, Department of Chemistry, University of Oslo, Norway

Indicative program (subject to changes and extension):

- Hohenberg–Kohn theory (Hohenberg–Kohn theorem and concavity, Lieb variation principles, v-representable densities, etc.)
- Levy–Lieb constrained-search theory, N-representable densities, the Levy–Lieb constrained-search functional, etc
- Lieb convex-conjugate theory, convex functions and convex conjugation, the Lieb convex-conjugate functional, etc
- Discontinuity and nondifferentiability of the universal functional conditions, etc.
- and much more.

Download Trygve Helgaker's slides


IMG 20170109 120004.jpg IMG 20170111 161950.jpg IMG 20170109 120118.jpg


In addition, we would like to point out the following books written by three members of Laboratoire Jacques-Louis Lions:

- Brezis, Haim, Functional analysis, Sobolev spaces and partial differential equations. Universitext. Springer, New York, 2011. xiv+599. For a particular focus on partial differential equations.

- Ciarlet, Philippe G. Linear and Nonlinear Functional Analysis with Applications. Society for Industrial and Applied Mathematics, Philadelphia, PA, 2013. The fundamental facts of functional analysis and differential geometry by an expert in elasticity and numerical analysis.

- Penot Jean Paul, Analysis. From Concepts to Applications, Universitext, Springer, London, 2016. The basic elements of topology, functional analysis, convexity, optimization, integration, Sobolev spaces and partial differential equations.

Schedule

Monday 9 January

Tower 15-16, room 309

Tuesday 10 January

Tower 15-16, room 309

Wednesday 11 January

Tower 15-16, room 309

8:45-9:00 Arrivals/Welcome
9:00-10:30 Trygve Helgaker 1 9:00-10:30 Eric Cancès 3 9:00-10:30 Trygve Helgaker 4
10:30-10:45 Coffee break 10:30-10:45 Coffee break 10:30-10:45 Coffee break
10:45-12:15 Trygve Helgaker 2 10:45-12:15 Trygve Helgaker 3 10:45-12:15 Trygve Helgaker 5
12:15-14:00 Lunch at L'Ardoise (Tower 25) 12:15-14:00 Lunch at L'Ardoise (Tower 25) 12:15-14:00 Lunch at L'Ardoise (Tower 25)
14:00-15:30 Eric Cancès 1 14:00-15:30 Eric Cancès 4 14:00-15:30 Trygve Helgaker 6
15:30-15:45 Coffee break 15:30-15:45 Coffee break 15:30-15:45 Coffee break
15:45-17:15 Eric Cancès 2 15:45-17:15 Eric Cancès 5 15:45-17:15 Eric Cancès 6


Practical details

Location of the mini-school

The mini-school will take place on the Jussieu campus of Université Pierre et Marie Curie (UPMC), 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.

Registration fees

To facilitate the participation of young researchers, no registration fees will be asked.

Housing

We have tried our best to offer housing in student-type accomodation at FIAP Jean Monnet, 30 Rue Cabanis, 75014 Paris.

See details about housing arrangement on the page List of registered people

Lunches

12:15-14:00 at Restaurant L'Ardoise, Jussieu campus, between Tower 25 and Tower 26. Lunch is offered to all registered participants to the mini-school.

See the list of registered participants on the page List of registered people

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.

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