A¹-homotopy theory of schemes: references and further links

In the first part of the seminar, we follow Morel's lecture notes from Trieste and the paper of Morel and Voevodsky:

– F. Morel An introduction to A¹-homotopy theory, ICTP lecture notes, volume 15, 2003.

– F. Morel and V.Voevodsky A¹-homotopy theory of schemes, Publ. Math. I.H.É.S. volume 90 (2001) p45-143.

In the second part of the seminar, we follow the book of Morel:

– F. Morel 'Homotopy theory of schemes' SMF/AMS texts and monographs, volume 12, 1999.

This book is a translation of the original french version 'Theorie homotopique des schemas' (Asterisque 256).

Other useful references:

– F. Morel A¹-algebraic topology over a field, Lecture notes in mathematics, volume 2052, 2012.

– V. Voevodsky A¹-homotopy theory, ICM address 1998

– F. Morel A¹-algebraic topology, ICM Address 2006 (preprint only)

Additional references can be found on the webpage of Aravind Asok: Motivic or A¹-homotopy theory resources