9 jul 2018 - 13 jul 2018
IST Austria
{{the content of this page was copy and pasted from the origin announcement email or website; please refer to the links for updates and inquiries}}
Summer School on Geometric Representation Theory,
(9 July—13 July 2018, IST Austria)
Mini-course speakers
• Iain Gordon (University of Edinburgh)
• Andrei Negut (Massachusetts Institute of Technology) — Moduli spaces of sheaves: geometry and representation theory
• Nicholas Proudfoot (University of Oregon) — The Hikita Conjecture
• Catharina Stroppel (University of Bonn)
Research talk speakers
• Martina Balagovic (Newcastle University)
• Tina Kanstrup (Hausdorff Center for Mathematics)
• Neil Saunders (University of Greenwich)
• Alexander Shapiro (University of Toronto)
• Tom Sutherland (University of Mainz)
The topic of the summer school is geometric representation theory, with an emphasis on quiver varieties, symplectic resolutions, quantization, and cluster algebras. A major goal of geometric representation theory is to reveal unifying geometric and categorical perspectives on classical representation-theoretic objects, and to use these perspectives to solve long-standing algebraic problems. Quiver varieties, and more generally symplectic resolutions, precipitate geometric realizations of various non-commutative algebras and lead to a deeper understanding of the representation theory of these algebras. The non-commutative algebras of interest include algebras of differential operators, enveloping algebras, and quantum groups. More recently, cluster algebras have emerged as a major bridge between a vast array of mathematical topics.
The aim of the summer school is to provide mini-courses on active themes in geometric representation theory, including those mentioned above. In addition, there will be research talks on recent progress in the field, and a poster session featuring work of graduate students.
Registration deadline: 31 March, 2018