This course will be given during the semester 1 of the 2nd year of the
Master pathway in Fundamental Mathematics,
which is aimed to prepare students to undertake research in mathematics, either pure or applied.
The professor is Christophe Cheverry, see the
web page ;
Office 207/1 in building 23 ; contact : e-mail.
The secretariat is provided by Annie Quéméré :
Office 003 in building 23 ; contact :
The class will be held on Tuesday (from 08h to 10h) and Friday (from 16h15 to 18h15).
It will take place in building 2A, room 329 (tuesday)
and in building 2A, room 313 (friday).
It starts the 19/10 and stops the 03/12.
Students will have to refer to their own course notes. We give below some related (recent) references.
Of course, it should be understood that students can also consult the numerous references therein.
To complete the course and to broaden his/her knowledge, students can study the following documents.
- Concerning the part A):
The book about Pseudo-differential Operators and the Nash-Moser Theorem by P. Gérard (univ. Paris XI) and S. Alinhac is a good classical reference;
The books (volumes I, II, ...) about
the Analysis of Linear Partial Differential Operators by L. Hörmander contain all what is needed;
For a general overview on the analysis of partial differential equations, see the
lecture notes by T. Alazard (ENS). Look especially at the Part 3;
Concerning pseudo-differential operators, look for instance at the
introduction to this subject by J.-M. Bouclet (univ. Toulouse);
The book about quantum theory for mathematicians by Brian C. Hall (univ. Notre Dame) can give a general overview of the aforementioned material.
Continuous controls will be carried out regularly. They will take place after
the course of Friday (from 18h15 to 18h45 - 30 minutes). CC1 the 28/10, with the solutions; CC2 the 18/11, with the solutions; CC3 the 25/11, with the solutions; CC4 the 02/12, with the solutions;
At the end of the course, there will be a two-hour written test.
It is scheduled the 12/12/2022 in the room B02A-302. Final examination with the solutions.