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About
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Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Commutative Algebra Seminar in Beijing The Henselization of a local ring, Part I
The Henselization of a local ring, Part I
Organizers
Ming Fang , Manolis Tsakiris , Bei Hui Yuan
Speaker
Hao Liang
Time
Saturday, December 2, 2023 9:30 AM - 11:30 AM
Venue
AMSS-N208
Abstract
In the first lecture I will give an introduction to the notion of a Henselian local ring, i.e. a local ring satisfying Hensel's property. Examples are the rings of p-adic integers and formal power series over a field. At the same time I will review several important morphisms in algebraic geometry that rely on Hensel rings, especially quasi-finite and {\'e}tale morphisms. In the second lecture I will focus on the (strict) Henzelization of a local ring, as well as its connection with valuation theory and {\'e}tale topology.
Beijing Institute of Mathematical Sciences and Applications
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