### 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!!!