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SUMMARY:Jordan Types of Artinian Algebras and Geometry of Punctual Hilbert
  Schemes (JTAG)
DTSTART:20250623T050000Z
DTEND:20250627T155000Z
DTSTAMP:20260413T150300Z
UID:indico-event-14442@indico.math.cnrs.fr
DESCRIPTION:The purpose of the conference is to celebrate the work of Anth
 ony Iarrobino in algebra and geometry. The theme of the conference focuses
  on two threads: the Jordan type of Artinian algebras and the geometry of 
 Hilbert schemes. Artinian algebras\, characterized by their finite-dimensi
 onal structure\, play a crucial role in various areas of mathematics\, inc
 luding representation theory\, commutative algebra\, and algebraic geometr
 y. The Jordan type\, associated with the Jordan canonical form\, provides 
 insights into the structure of these algebras. \nThe punctual Hilbert sch
 eme\, which parametrizes zero-dimensional subschemes of a fixed length in 
 an algebraic variety\, is a fundamental object in algebraic geometry with 
 deep connections to combinatorics\, singularity theory\, and representatio
 n theory. Understanding the geometry of these schemes\, particularly throu
 gh the lens of Jordan types\, opens new avenues for exploring the intricat
 e relationship between algebra and geometry.\nThe conference aims to bring
  together leading researchers and young scholars to discuss recent advance
 ments\, share methodologies\, and foster collaboration in this specialized
  but highly impactful area of mathematics. Topics will include the classif
 ication of Jordan types in various contexts\, the role of Artinian algebra
 s in deformation theory\, and the geometric properties of punctual Hilbert
  schemes. By examining these themes\, the conference seeks to deepen the u
 nderstanding of the algebra-geometry interface and its implications for br
 oader mathematical research.\n\nhttps://indico.math.cnrs.fr/event/14442/
LOCATION:Salle de conférence (Nice)
URL:https://indico.math.cnrs.fr/event/14442/
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