Home /  Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness

Workshop

Revisiting Fundamental Problems Workshop: Infinite-Dimensional Division Algebras - Algebraicity and Freeness December 01, 2025 - December 05, 2025
Parent Program: --
Series: Revisiting Fundamental Problems, Revisiting Fundamental Problems
Location: SLMath: Eisenbud Auditorium, Atrium
Organizers Agatha Atkarskaya (The Hebrew University of Jerusalem), Jason Bell (University of Waterloo), LEAD Be'eri Greenfeld (University of Washington), Susan Sierra (University of Edinburgh), LEAD James Zhang (University of Washington)
Description
Infinite-dimensional division algebras are essential in noncommutative algebra and noncommutative algebraic geometry, yet they have remained cryptic and largely unclassified. This workshop will address three key classical open problems concerning them: the Kurosh Problem, the Free Subalgebra Problem and Artin's Conjecture. We will review decades of progress on these wide-open problems and emphasize novel techniques and emerging theories and concepts that show promise in facilitating breakthroughs.
Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • Infinite-dimensional division algebras

  • Kurosh Problem

  • The Free Subalgebra Problem

  • Growth of algebras

  • Quotient division rings

  • Noncommutative projective surfaces

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