Pablo Pelaez, "Lectures on Suslin's rigitity theorem"
The organizational meeting will take place at 18:00 on Wednesday, March 4, in room 203 of the PDMI. The course's Telegram group is available at https://t.me/+CVvmd4GBvN4zNjBi
Interested participants are also asked to register on the website.
The goal of the lectures is to present Suslin’s celebrated rigidity theorem, its
application for the computation of the algebraic k-theory with finite coefficients for
algebraically closed fields and also some general properties of Jacobians required
for the proof.
Prerequisites:
Algebraic K-theory (e.g. localization and functoriality properties), and basic alge-
braic geometry.
References
[1] P. Griffiths and J. Harris. Principles of algebraic geometry. Wiley Classics
Library. John Wiley & Sons, Inc., New York, 1994. Reprint of the 1978 original.
[2] S. Lang. Abelian varieties, volume No. 7 of Interscience Tracts in Pure and Ap-
plied Mathematics. Interscience Publishers, Inc., New York; Interscience Pub-
lishers Ltd., London, 1959.
[3] F. Lecomte. Rigidit ́e des groupes de Chow. Duke Math. J., 53(2):405–426, 1986.
[4] D. Mumford. Abelian varieties, volume 5 of Tata Institute of Fundamental
Research Studies in Mathematics. Tata Institute of Fundamental Research,
Bombay; by Hindustan Book Agency, New Delhi, 2008. With appendices by C.
P. Ramanujam and Yuri Manin, Corrected reprint of the second (1974) edition.
[5] A. Suslin. On the K-theory of algebraically closed fields. Invent. Math.,
73(2):241–245, 1983.
March 2026
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