Graduate seminar on Quantum cohomology and Representation theory, Spring 2014

Alternating between MIT and Northeastern.

Meeting times and locations: Feb 3 (MIT, 56-154), Feb 10 (NEU, 509 LA), Feb 14(MIT, E17-128), Feb 21(MIT, E17-128), Feb 24(NEU, 509 LA), Feb 28 (MIT, E17-128), Mar 10(NEU, 509 LA), Mar 17(MIT, 56-154), Mar 21(MIT, E17-128), Mar 31(NEU, 509 LA), Apr 7(MIT, 56-154), Apr 14(NEU, 509 LA), Apr 18(NEU, 509 LA), Apr 25(MIT, E17-128).

Monday time (MIT 56-154 or NEU 509 LA): 5-8pm, Friday time (MIT, E17-128): varies.

Organized by Roman Bezrukavnikov, Pavel Etingof, Michael McBreen (MIT), Ivan Losev and Valerio Toledano Laredo (Northeastern).

Announcement.

Feb 3 (MIT, 56-154), 5-8pm. Barbara Bolognese (NEU): A general introduction to the Hilbert scheme of points on the plane, complete notes.

Feb 10 (NEU, 519LA) 5-8pm. Barbara Bolognese (NEU): A general introduction to the Hilbert scheme of points on the plane (cont'd).

Sasha Tsymbaliuk Geometric representation theory of the Hilbert schemes, notes.

Feb 14, (MIT E17-128), 5-7pm. Sasha Tsymbaliuk Geometric representation theory of the Hilbert schemes, (cont'd), notes.

Feb 21, (MIT E17-128), 3-6pm. Sasha Tsymbaliuk Geometric representation theory of the Hilbert schemes, (cont'd), notes.

Michael McBreen (MIT) The quantum connection of the Hilbert scheme.

Feb 24, (NEU, 509LA) 5-8pm. Michael McBreen (MIT) The quantum connection of the Hilbert scheme (cont'd), notes.

Yi Sun (MIT) Quantum Hamiltonian reduction, notes.

Feb 28, (MIT, E17-128), 3-6pm. Yi Sun (MIT) Quantum Hamiltonian reduction (cont'd), notes.

Ivan Losev (NEU), Quantum Hamiltonian reduction on the level of sheaves, notes.

Mar 10, (NEU, 509 LA) 5-8pm. Mitya Vaintrob (MIT), Hamiltonian reduction in characteristic p, notes. Ivan's version.
Mar 17, (MIT, 56-154), 5-8pm. Jose Simental Rodriguez (NEU), Rational Cherednik Algebras of type A.
Mar 21, (MIT, E17-128) 3-6pm. Jose Simental Rodriguez (NEU), Rational Cherednik Algebras of type A, complete notes.
Mar 31, (NEU, 509 LA), 5-8pm. Gufang Zhao (NEU) Procesi bundle and McKay equivalence, notes.
Apr 7, (MIT, 56-154), 5-8pm. Ivan Losev (NEU), Applications of Procesi bundles to Cherednik algebras, notes.
Apr 14, (NEU, 509 LA), 5-8pm. Kostya Tolmachov (MIT) Macdonald positivity, complete notes.

Ivan Losev (NEU), Abelian localization for Cherednik algebras, notes.

Apr 18, (NEU, 509 LA), 3.30-6pm. Kostya Tolmachov (MIT) Macdonald positivity (cont'd).
AND THEN WE ARE FINALLY DONE!!!