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AxIOM

Commutative Algebra, Representation Theory, and Other Interactions January 25, 2027 to February 19, 2027
Organizers LEAD David Eisenbud (University of California, Berkeley), Srikanth Iyengar (University of Utah), Claudia Polini (University of Notre Dame), Bernd Ulrich (Purdue University)
Description
Twist shout
<p>&nbsp;</p><p>A line and a twisted cubic form the complete intersection of two quadric surfaces (shown in red and yellow). This is the simplest interesting example of the relation of linkage.</p>
The AxIOM seeks to build on the many interactions between commutative algebra, representation theory and other areas of mathematics. The focus will be new developments in these subjects, many inspried by the 2024 Commutative Algebra program.  Some of the major themes to be covered are linkage theory, syzygies, and new interactions between commutative algebra and algebraic number theory.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords

  • Betti numbers

  • congruence module

  • enumerative geometry

  • Hilbert scheme

  • Linkage

  • numerical semigroup

  • rank conjectures

  • Representation theory

  • residual intersections

  • syzygies in infinite resolutions

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