Home page of MAT 477F Seminar in Mathematics: Variational Problems in Physics, Economics, and Geometry

Professor Robert McCann

FUTURE MEETINGS:
15h10 - 18h00 Fridays Room BA 6183
OFFICE HOURS:
17h05 - 17h50 Mondays BA 6124

Course information
Syllabus


PRIMARY SOURCES
Sept 15?: Kantorovich (1942) and Koopmans (1949) (Boyang)
Sept 22?: Rockafellar (1966) (Mikey)
Sept 29: Brenier (1987) (Kenneth)
Oct 6: Caffarelli (1996) (Danny)
Oct 13: Aleksandrov (1942a) (Saeyon)
Oct 20: McCann (1995) (Chenyu)
Oct 27: Alesker Dar Milman (1999) (Andrew)
Nov 3: Cordero-Erausquin Nazaret Villani (2004) (Sebastian)
Nov 17: Aleksandrov (1942b) (Ruiwen)
Nov 24: Myerson (1981) (Tong Lin)
Dec 1: Otto (1997) (Songci)
Dec 7/8: Latala and Matlak (2017) (Justin)

ADDITIONS / ALTERNATES (time permitting, these dates tentative)
Sept 15? Gale & Shapley (1962)
Sept 22? Evans & Gariepy (1992) book Section 3.1 & 6.4 & 3.3; Federer (1969) book Section 2.10.40-44; F. Morgan's (1988) Chapter 3;
Sept 29 Lorentz (1953) | McCann (1999, Appendix A)
Oct 6 Shapley & Shubik (1972)
Oct 13 Hotelling (1929)
Oct 20 / Nov 3 Sonnenschein (1982)



SUPPLEMENTARY SOURCES
Evans Survey (1999)
McCann & Guillen `Five Lectures' (2013)
Santambrogio "Optimal Transport for Applied Mathematicians" Birkhauser (2015)
Villani "Topics in Optimal Transportation" AMS (2003) (on reserve in math library)
Villani "Optimal transport: old and new"

Sept 8: Brezis "Functional Analysis, Sobolev Spaces and PDE" Springer (2011)
Reed & Simon "Modern Methods of Mathematical Physics: volume 1 Functional Analysis" Academic Press (1972) (on reserve in Math library)
Rudin "Functional Analysis" McGraw Hill (1991) (on course reservse in math library)
Sept 15?: Santambrogio's book (2015) Section 1.6.3
Sept 22?: McCann (2014) Section 6 | McCann & Guillen (2013) Theorem 3.2 | Adams & Fournier book Chapter 8.3
Sept 29: Brenier (1991)
Oct 6: Gangbo & McCann (1995) | McCann (2001)
Oct 13: Aleksandrov's books?
Oct 27: McCann (1997) Remark 2.4
Nov 3: Villani's book (2003) 6.4 (pages 200-203)
Dec 7/8 Sidak (1967) for motivation