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 

Roman Bezrukavnikov (MIT)  Canonical Bases and Geometry 
Anton Kapustin (Caltech)  Branes and quantizations 
Maxim Kontsevich (IHES France)  Generalized RiemannHilbert Correspondence 
Ivan Loseu (Northeastern University)  Quantizations of Nakajima Varieties 
Davesh Maulik (MIT) & Andrei Okounkov (Columbia University)  Representation Theory and Enumerative Geometry 
Jake Solomon (Hebrew University)  Jholomorphic Curves with Iholomorphic Lagrangian Boundary Conditions 
Alexander Beilinson (University of Chicago)  Around the characteristic cycle 
Vladimir Drinfeld (University of Chicago)  Slopes of indecomposable Fisocrystals 
Dennis Gaitsgory (Harvard)  Metaplectic Whittaker category and quantum groups 