The 21st Midrasha in Mathematicae:
Lie Theory without Groups: Enumerative Geometry and Quantization of Symplectic Resolutions
Organizers:

David Kazhdan (The Hebrew University)
Andrei Okounkov (Columbia University)
Roman Bezrukavnikov (Massachusetts Institute of Technology)
Recently found answers to a number of questions in enumerative algebraic geometry are formulated in terms of highly nontrivial Lie theoretic structures. A prominent example is provided by calculation of quantum cohomology and quantum Ktheory of some symplectic resolutions of singularities. On the other hand, quantizations of such resolutions form a natural generalization of enveloping algebras of semisimple Lie algebras. Representation theory of these quantizations shows surprising connections to enumerative geometry of the resolution. It is also expected to be closely related to categorical invariants of the resolution studied in symplectic geometry, such as the Fukaya category. The goal of the workshop is to give an introduction to this circle of ideas and stimulate work towards conceptual understanding of the observed phenomena.
List of Speakers and Topics
Name  tOPIC 

Alexander Braverman (University of Toronto)  Supersymmetric quantum field theories in 3d, the affine Grassmannian and symplectic duality 
Alexander Goncharov (Yale University)  Quantum Hodge Field theory 
Anton Kapustin (Caltech)  Branes and quantizations 
Andrei Okounkov (Columbia University)  Representation Theory and Enumerative Geometry 
Davesh Maulik (MIT)  Representation Theory and Enumerative Geometry 
Dennis Gaitsgory (Harvard)  Metaplectic Whittaker category and quantum groups 
Ivan Loseu (Northeastern University)  Quantizations of Nakajima Varieties 
Jake Solomon (Hebrew University)  Jholomorphic Curves with Iholomorphic Lagrangian Boundary Conditions 
Roman Bezrukavnikov (MIT)  Canonical Bases and Geometry 