Home /  Introductory Workshop: Commutative Algebra

Workshop

Introductory Workshop: Commutative Algebra January 22, 2024 - January 26, 2024
Registration Deadline: January 31, 2024 23 days ago
To apply for Funding you must register by: October 22, 2023 4 months ago
Parent Program:
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Srikanth Iyengar (University of Utah), Claudia Miller (Syracuse University), Claudia Polini (University of Notre Dame), LEAD Anurag Singh (University of Utah)
Speaker(s)

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Description
Msri 1053 image
Fractal behavior of local cohomology. For details, see arXiv:2210.03656 by Gao and Raicu
The Introductory Workshop will feature lecture series devoted to some recent breakthrough results in commutative algebra, and to new developments in core areas of the field.  It will also highlight links to other areas such as arithmetic geometry, representation theory, noncommutative geometry, and singularity theory. Bibliography  
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Commutative rings

  • computational commutative algebra

  • D-modules

  • free resolutions

  • Gröbner deformations

  • Homological conjectures

  • Lech's conjecture

  • maximal Cohen-Macaulay modules

  • McKay correspondence

  • mixed characteristic

  • multiplicities

  • perfectoid spaces

  • prismatic cohomology

  • symbolic powers

  • syzygies

  • Tight closure theory

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Funding & Logistics Show All Collapse

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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Jan 22, 2024
Monday
09:45 AM - 10:00 AM
  Welcome
10:00 AM - 11:00 AM
  Castelnuovo-Mumford Regularity for Standard Graded Rings Over Noetherian Base Rings
Aldo Conca (Università di Genova)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Symbolic Powers - Algebraic and Geometric Perspectives
Alexandra Seceleanu (University of Nebraska)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Linkage, Residual Intersection, and Applications
Bernd Ulrich (Purdue University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Cohomology and Symmetry in Commutative Algebra
Claudiu Raicu (University of Notre Dame)
Jan 23, 2024
Tuesday
10:00 AM - 11:00 AM
  Castelnuovo-Mumford Regularity for Standard Graded Rings Over Noetherian Base Rings
Aldo Conca (Università di Genova)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Symbolic Powers - Algebraic and Geometric Perspectives
Alexandra Seceleanu (University of Nebraska)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Perfectoid Algebras and Singularities in Mixed Characteristic
Linquan Ma (Purdue University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Maximal Cohen Macaulay Modules in Commutative Algebra with a View Towards Representation Theory
Eleonore Faber (Karl-Franzens-Universität Graz; University of Leeds)
04:30 PM - 06:20 PM
  Reception
Jan 24, 2024
Wednesday
10:00 AM - 11:00 AM
  Perfectoid Algebras and Singularities in Mixed Characteristic
Linquan Ma (Purdue University)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Maximal Cohen Macaulay Modules in Commutative Algebra with a View Towards Representation Theory
Eleonore Faber (Karl-Franzens-Universität Graz; University of Leeds)
12:30 PM - 02:00 PM
  Lunch
03:00 PM - 03:30 PM
  Afternoon Tea
Jan 25, 2024
Thursday
10:00 AM - 11:00 AM
  Castelnuovo-Mumford Regularity for Standard Graded Rings Over Noetherian Base Rings
Aldo Conca (Università di Genova)
11:00 AM - 11:05 AM
  Group Photo
11:05 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Symbolic Powers - Algebraic and Geometric Perspectives
Alexandra Seceleanu (University of Nebraska)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Linkage, Residual Intersection, and Applications
Bernd Ulrich (Purdue University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Cohomology and Symmetry in Commutative Algebra
Claudiu Raicu (University of Notre Dame)
Jan 26, 2024
Friday
10:00 AM - 11:00 AM
  Perfectoid Algebras and Singularities in Mixed Characteristic
Linquan Ma (Purdue University)
11:00 AM - 11:30 AM
  Break
11:30 AM - 12:30 PM
  Maximal Cohen Macaulay Modules in Commutative Algebra with a View Towards Representation Theory
Eleonore Faber (Karl-Franzens-Universität Graz; University of Leeds)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Linkage, Residual Intersection, and Applications
Bernd Ulrich (Purdue University)
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Cohomology and Symmetry in Commutative Algebra
Claudiu Raicu (University of Notre Dame)