Regularity and Rigidity of Noncommutative Algebras
Seattle Workshop 2014

March 21-23, 2014


Objectives

During the last few years, important progress has been made in the study of noncommutative algebras and related areas. Notably, there are many new ideas, new results and significant developments appeared in the following research topics
  • infinite dimensional division algebras,
  • tensor categories,
  • classification of noncommutative projective surfaces,
  • Artin-Schelter regular algebras and their associated projective schemes,
  • automorphism group of noncommutative algebras,
  • primitivity and Dixmier-Moeglin equivalence of noncommutative algebras,
  • McKay correspondence,
  • gap theorem for graded domains of low Gelfand-Kirillov dimension,
  • Artin-Schelter regularity of noetherian Koszul algebras of finite global dimension,
  • quantum cluster algebras and upper quantum cluster algebras,
  • non-noetherian property of the universal enveloping algebra of the Witt algebra,
  • Hopf algebra actions on commutative and noncommutative domains,
  • noncommutative invariant theory,
  • PBW deformations and Calabi-Yau algebras,
  • homological aspects of infinite dimensional Hopf algebras,
  • derived categories of noncommutative algebras and noncommutative schemes,
  • Poisson algebras and deformations,
    and so on.
    More importantly, several extremely difficult and longstanding open questions have been settled during the last two years by using ideas from noncommutative algebraic geometry, homological algebra, and categorical approaches in the research topics mentioned above. The aim of the workshop is to bring together a group of leading experts to promote a set of new and challenging questions in this area.

    Organizer

    James J. Zhang, University of Washington, USA zhang@math.washington.edu


    Venue

    Savery Hall, Room 132, University of Washington, Seattle, WA 98195, USA

    Accommodation

    Participants should arrange their own accommodation during the workshop. Here is a list of hotels near the University Hotels.

    Registration Fee


    Zero.

    Program

    Click here for a schedule

    A list of participants

    Click here for a list of participants, conference photo 1 and conference photo 2

    Local information


    Campus map

    A campus map with building list can be found on the University of Washington website.

    All lectures are given in Savery Hall, Room 132. Savery Hall is located near the center of the north central part of the UW campus, see this map.

    The Department of Mathematics is located at Padelford Hall, C-wing.

    Arriving in Seattle