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Eloísa Grifo | Talk notes

Notes on symbolic powers

Here is video of a talk on symbolic powers I gave at the Fellowship of the ring, the virtual Worldwide Commutative Algebra Seminar, hosted by MSRI.



I've written several sets of lecture notes on symbolic powers. All of these are drafts and are highly likely to contain typos.

Notes directed at advanced commutative algebra graduate students:
The following are notes I wrote for a semester long course on symbolic powers at the University of Nebrask—Lincoln:

Main symbolic powers notes

These are likely to still contain typos, but these are the most up-to-date notes I have written on the subject.

I have also written shorter notes for week-long courses. The notes below were written for the Escuela de otoño de Àlgebra Conmutativa at CIMAT in November 2019 organized by Luis Núñez-Betancourt and Abraham Martín del Campo, and earlier for the RTG Advanced Mini-course in Commutative Algebra at the University of Utah in May 2018, organized by Anurag K. Singh and Srikanth B. Iyengar. The older version of my notes on symbolic powers is no longer kept updated, so I'd recommend reading the newer version below. While the CIMAT lectures were delivered in spanish, the main version of the notes is the English version, and the others are more or less translations of the English version.

english version   versión en español   versão em português


Notes directed at advanced undergraduates:
These are the materials for the lecture series I gave at BRIDGES, a conference aimed towards early graduate students and advanced undergraduate students interested in representation theory, number theory, and commutative algebra, hosted by the University of Utah AWM student chapter. These lectures assumed only a first course in algebra, and no commutative algebra background.

Lecture notes     Problem list     Day 1     Day 2     Day 3

Other videos from research talks

Symbolic powers in mixed characteristic, at the ICERM workshop D-modules, Group Actions, and Frobenius: Computing on Singularities






Symbolic powers in mixed characteristic
in
BIRS workshop on advances in mixed char
May 10, 2022





Symbolic powers in mixed characteristic
in
Special Month On Singularities & K-Stability
June 6, 2021





Differential powers in mixed characteristic
in
Special Session on differential operators in algebraic geometry and commutative algebra at the 2021 MCA
July 16, 2021



Notes and slides from research talks





Notes and slides from expository talks and talks directed at undergraduates










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