Supported by SISSA, PRIN "Geometry of Algebraic Varieties", and INDAM-GNSAGA.
Supported by SISSA, PRIN "Geometry of Algebraic Varieties", and INDAM-GNSAGA.
Scientific Committee: Peter Newstead (Chair), Usha Bhosle, Steven Bradlow, Leticia Brambila-Paz, Ugo Bruzzo, Carlos Florentino, Oscar Garcia-Prada, Peter Gothen, Daniel Hernandez Ruiperez, Alastair King, Herbert Lange, Antony Maciocia, Ignasi Mundet i Riera, Christian Pauly, Alexander Schmitt, Andras Szenes.
Organizing Committee: U. Bruzzo (SISSA), A. Lo Giudice (SISSA), M. Pedrini (SISSA), F. Sala (Heriot-Watt University at Edinburgh), A. Tanzini (SISSA).
Hilbert schemes of points are a traditional field of interest for algebraic geometers. Work by Nakajima and others established a relation between their geometry and the representation theory of Heisenberg-Clifford algebras. More recent research connected Hilbert schemes with other infinite-dimensional algebras, such as Cherednik algebras, quantum Heisenberg algebras, Kac-Moody algebras, and so on. This conference aims at providing an updated survey of the state of the art in this area of research in its various aspects.
categorification of the (quantized) Heisenberg algebra
Cherednik algebras, W-algebras
Ding-Iohara algebras, shuffle algebras
moduli spaces of instantons and framed sheaves
instanton counting, Alday-Gaiotto-Tachikawa conjecture
instanton counting with surfaces operators, moduli spaces of parabolic framed sheaves on Laumon spaces
moduli spaces of quiver representations, wall-crossing formulas
S. Cautis (University of Southern California)
D. E. Diaconescu (Rutgers University)
M. Finkelberg (IMU, IITP and State University High School of Economics, Moscow)
I. Gordon (University of Edinburgh)
L. Göttsche (ICTP, Trieste)
M. Kool (Imperial College, London)
M. Jardim (Universidade Estadual de Campinas)
A. Negut (Columbia University)
J. V. Rennemo (Imperial College, London)
L. Rybnikov (IITP and State University High School of Economics, Moscow)
A. Savage (University of Ottawa)
R. J. Szabo (Heriot-Watt University, Edinburgh)
A. Tikhomirov (Yaroslavl State Pedagogical University)