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