Minicourse "The dynamical method in commutative algebra" [2 ETCS Mat/01] by Ihsen Yengui, University of Sfax

Publication date
Friday, September 11, 2020 - 10:56:24 AM
Last Modified
Friday, September 11, 2020- 11:12:29 AM
Subject
Minicourse "The dynamical method in commutative algebra" [2 ETCS Mat/01] by Ihsen Yengui, University of Sfax
Published by
   Peter Michael Schuster
   Advanced course in foundations of mathematics (2020/2021)
   Axiomatic set theory for mathematical practice (2019/2020)
   Mathematical logic (2020/2021)
   Mathematical logic (2019/2020)
   Bachelor's degree in Applied Mathematics
   Master's degree in Mathematics

Content

The minicourse "The dynamical method in commutative algebra" [2 ETCS Mat/01] by Ihsen Yengui, University of Sfax, has been videoregistered in August 2020. Members of the University of Verona who wish to follow the course but are not authorised to access this link are kindly asked to contact dott. Giulio Fellin. Students who want to obtain credits for this course also in the future should contact prof. Peter Schuster.

Abstract of the minicourse: Transfinite methods, typically in the form of a variant of Zorn’s Lemma, are frequently invoked during proofs in commutative algebra. Dynamical methods have proved practicable to still render constructive proofs of that kind. Roughly speaking, ideal objects such as prime ideals are approximated by paths in finite trees which are grown as the proofs in question demand and carry the information required for the desired computation.




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