### Graduate seminar on Double Affine Hecke algebras and Elliptic Hall algebras, Spring 2017

Running weekly on Tuesdays
alternating between MIT and Northeastern:

MIT, (4-7pm w. pizza break), 2-139.

NEU, (4.30-7pm w. pizza break), Snell Library 119 (Snell Library is building 59
here, you need the entrance to level 1 classrooms not the main entrance).

Organized by Roman Bezrukavnikov,
Pavel Etingof,
Andrei Negut (MIT), and
Ivan Losev,
Valerio Toledano Laredo (NEU).

Pavel Etingof is a Boss (assisted by his fellow mushrooms)!

Here is a preliminary list of topics.

1) Seth Shelley-Abrahamson: Reminder on finite/affine Hecke algebras.

2) Jose Simental: DAHA (definition, structure theory, spherical DAHA, rep. theory, degenerations and their connections to integrable systems).

3) Chris Ryba: DAHA, Macdonald-Ruijenhaars system and Macdonald polynomials.

4) Mitya Matveevskiy: EHA by generators and relations.

5) Lesha Pakharev: Coherent sheaves, HN filtrations and SL_2(Z)-action.

6) Tudor Padurariu: Hall algebras.

7) Borya Tsvelikhovsky: Shuffle algebras.

**Schedule**.

Feb 7, MIT, 2-139, 4-7pm: Seth speaks on topic 1, complete notes.

Feb 14, NEU, Snell 119, 4.30-7pm: Seth finishes and Jose starts on topic 2.

Feb 21, MIT, 2-139, 4-7pm: Jose continues

Feb 28, NEU, Snell 119, 4.30-7pm: Jose finishes, complete notes, and Chris starts.

Mar 3, MIT, 5-7pm, location: Chris continues on topic 3,
complete notes.

Mar 7, no seminar, NEU spring break.

Mar 14, MIT, 2-139, 4-7pm: Cancelled due to a snow storm.

Mar 17, MIT 2-361, 5-7.30pm: Prof. Negut himself will bridge DAHA's and EHA's, notes.

Mar 21, NEU, Snell 119, 4.30-7pm: Mitya starts.

Mar 24, MIT, 2-361, 5-7.30pm: Mitya continues, notes.

Apr 7, MIT, 2-361, 5-7.30pm: Lesha starts (note that Tuesday, Apr 4 meeting is CANCELLED), notes.

Apr 11, NEU, Snell 119, 4.30-7pm: Tudor starts.

Apr 18, NEU, Snell 119, 4.30-7pm: Tudor continues, complete notes.
Jose's defense at 2.30pm, 509 Lake, is also of interest!

Apr 25: MIT, 2-139, 5.30-8pm: Borya starts and finishes, notes.

THE SEMINAR IS OVER, STAY TUNED FOR THE FALL!!!