Workshop
| Parent Program: | -- |
|---|---|
| Series: | Revisiting Fundamental Problems, Revisiting Fundamental Problems |
| Location: | SLMath: Eisenbud Auditorium, Atrium |
Tribute to Hamilton's graffiti of the Quaternion Division Algebra, County Dublin, Ireland. Photo: Professor Peter Gallagher, Director Dublin Institute for Advanced Studies Dunsink Observatory (courtesy DIAS)
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
Show Funding
To apply for funding, you must register by the funding application deadline displayed above.
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.
Show Lodging
For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.