Oeuvres

Viac o knihe

The impact of J.-P. Serre's work has been profound since his doctoral thesis on homotopy groups. His research and survey papers span a wide range of topics, including topology, complex variables, algebraic geometry, number theory, group theory, commutative algebra, and modular forms, offering inspiration for mathematicians in both research and teaching. His publications often pose open questions that guide future research directions. The four volumes of his Collected Papers include comments and corrections on most articles, detailing the status of these open questions in light of subsequent findings. This softcover edition of volume IV features two newly added articles: one on André Weil's life and works, and another on Finite Subgroups of Lie Groups. This volume encompasses items numbered 133-173, showcasing the essence of Serre's contributions from 1985 to 1998, focusing on number theory, algebraic geometry, and group theory. It contains a mix of articles, unpublished course summaries, and letters, particularly to K. Ribet and M.-F. Vignéras, which hint at proofs of announced results. Additionally, an interview from 1986 reveals Serre's views on mathematics and his own work, while concluding Notes report recent progress and corrections.