Organized by Alexander Kirillov, Jr., Ljudmila Kamenova, Hiraku Nakajima, and Olivier Schiffmann.
Dates: October 14 – 18, 2013
Attendee ListDownload Talk ScheduleView Videos
Quivers and quiver varieties, introduced and studied in a series of papers of Nakajima, Lusztig, Ringel, and others in 1990s, have since appeared in many areas of mathematics and mathematical physics, including gauge theory, string theory, noncommutative geometry, geometric representation theory, and geometry. They were instrumental in the geometric constructions of Lie algebras, their representations, and categorification.
This workshop will be focused on the recent developments in the theory of quiver varieties, both in mathematics and in relation to physics such as BPS/CFT correspondence.
This workshop is a part of the Fall 2013 program, Quiver Varieties, which is organized by Ljudmila Kamenova, Alexander Kirillov, Nikita Nekrasov, and Olivier Schiffmann. This program takes place from September 30 – November 8, 2013.
*All workshop talks will be held in the Simons Center Lecture Hall (Room 102)
*Algebraic Geometry Seminar on Wednesday will be in the Math Tower P-131
*More information on the Della Pietra Lecture Series by Dr. Stephen Quake: https://scgp.stonybrook.edu/archives/8499
Quiver Varieties Workshop Schedule
| Time | Title | Presenters | Video |
| 8:00am | Registration/Breakfast begins (8:00am-9:00am) | SCGP Lobby and Cafe | |
| 9:00am | Counting finite dimensional irreducible representations of quantized quiver varieties | Ivan Loseu | video |
| 10:00am | Coffee Break | SCGP Cafe | |
| 10:30am | Semi-derived Hall algebras | Mikhail Gorsky | video |
| 11:30am | Short Break | ||
| 11:45am | Some examples of wall-crossing in representation theory | Roman Bezrukavnikov | video |
| 12:45pm | Lunch | SCGP Cafe | |
| 2:15pm | Loop Grassmannians and quivers | Ivan Mirkovic | video |
| 3:30pm | Tea Time | SCGP 515 | |
| 4:00pm | On the number of points of Lusztig nilpotent varieties over finite fields | Olivier Schiffmann | video |
| Time | Title | Presenters | Video |
| 8:00am | Breakfast begins | SCGP Cafe | |
| 9:00am | Homological knot invariants and quiver varieties | Sabin Cautis | video |
| 10:00am | Coffee Break | SCGP Cafe | |
| 10:30am | Whittaker vector of deformed Virasoro algebra | Shintarou Yanagida | video |
| 11:30am | Short Break | ||
| 11:45am | Instantons in N=2 quiver gauge theories and quantum groups | Vasily Pestun | video |
| 12:45pm | Lunch | SCGP Cafe | |
| 2:15pm | Algebra of the infrared: string field theoretic structures in massive N=(2,2) quantum field theory in two dimensions | Greg Moore | video |
| 3:30pm | Tea Time | SCGP 515 | |
| 4:00pm | From Yangians to quantum loop algebras via abelian difference equations | Valerio Toledano Laredo | video |
| 6:00pm | Workshop Banquet | SCGP Cafe |
| Time | Title | Presenters | Video |
| 8:00am | Breakfast begins | SCGP Cafe | |
| 9:00am | Compact moduli spaces for slope-semistable sheaves on higher-dimensional projective manifolds | Daniel Greb | video |
| 10:00am | Coffee Break | SCGP Cafe | |
| 10:30am | Symplectic eightfolds from cubic fourfolds | Christian Lehn | video |
| 11:30am | Short Break | ||
| 11:45am | Isotrivial and non-isotrivial Lagrangian fibrations, and their dual fibrations | Justin Sawon | video |
| 12:45pm | Lunch | SCGP Cafe | |
| 2:15pm | Braid group actions and Khovanov homology from Hilbert schemes | Tony Licata | video |
| 3:30pm | Tea Time | SCGP 515 | |
| 4:00pm | Algebraic Geometry Seminar (Math Tower P-131): Humbert surfaces and Heegner divisors | Igor Dolgachev |
| Time | Title | Presenters | Video |
| 8:00am | Breakfast begins | SCGP Cafe | |
| 9:00am | Category O for a quiver variety | Ben Webster | video |
| 10:00am | Coffee Break | SCGP Cafe | |
| 10:30am | Categorical g-actions using coherent sheaves on quiver varieties and their quantizations. | Joel Kamnitzer | video |
| 11:30am | Short Break | ||
| 11:45am | Cyclotomic Cherednik algebras and categorification | Eric Vasserot | video |
| 12:45pm | Lunch | SCGP Cafe | |
| 2:15pm | Categorification at prime roots of unity | Mikhail Khovanov | video |
| 3:30pm | Tea Time | SCGP 515 | |
| 4:00pm | Instantons moduli spaces and W-algebras | Hiraku Nakajima | video |
| 5:30pm | Optional Della Pietra Lecture: Precision Measurement in Biology (SCGP 103) | Dr. Stephen Quake | video |
| Time | Title | Presenters | Video |
| 9:00am | Breakfast begins | SCGP Cafe | |
| 10:00am | Technical Della Pietra Lecture: TBA (SCGP 102) | Dr. Stephen Quake | video |
| 11:30am | A microlocal approach to Lusztig’s symmetries | Michael Finkelberg | video |
| 12:30pm | Lunch | SCGP Cafe | |
| 2:00pm | Kazhdan-Lusztig conjecture via quasi-maps and Uhlenbeck spaces | Alexander Braverman | video |
| 3:30pm | Tea Time | SCGP 515 | |
| 4:00pm | Deligne-Simpson Problem, Quivers and Galois action on rigid DAHA-modules in rank one | Ivan Cherednik | video |