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Mathematical Sciences Research Institute

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Workshop

Recent Developments in Commutative Algebra April 15, 2024 - April 19, 2024
Registration Deadline: April 19, 2024 over 1 year from now
To apply for Funding you must register by: January 15, 2024 about 1 year from now
Parent Program:
Location: MSRI: Simons Auditorium
Organizers Daniel Erman (University of Wisconsin-Madison), Linquan Ma (Purdue University), LEAD Karl Schwede (University of Utah), Karen Smith (University of Michigan), Andrew Snowden (University of Michigan), Irena Swanson (Purdue University)
Description
Many long-standing conjectures in commutative algebra have been solved in recent years, often through the introduction of new methods that are quickly becoming central to the field.  This workshop will bring together a wide array of researchers in commutative algebra and related fields, with the goal of forging new connections among topics, and with a particular emphasis on transformative new methods.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Commutative rings

  • modules

  • ideals

  • mixed characteristic

  • Frobenius powers

  • test ideals

  • tight closure

  • perfectoid methods

  • singularities

  • birational algebraic geometry

  • multiplier ideals

  • symbolic powers

  • syzygies

  • free resolutions

  • homological methods

  • derived categories

  • polynomials

  • monomial ideals

  • toric varieties

  • Schubert varieties

  • combinatorial commutative algebra

  • equivariant ideals

  • maximal Cohen-Macaulay modules

  • applications of representation theory

  • twisted commutative algebras

  • D-modules

  • local cohomology

  • computational commutative algebra

  • graded rings and projective varieties

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC