Learning Seminar on Higher
Representation Theory
and Categorification
University of Toronto
Spring 2011
Plan:
We hope to cover parts of the following papers, roughly in this order:
·
[L]=Lauda’s “A categorification of quantum sl(2)”
·
[KL1],[KL3]=Khovanov & Lauda’s “A diagrammatic
approach to categorification of quantum groups I
& III”
·
[W]=Webster’s “Knot invariants
and higher representation theory I”
Time
and place: Thursdays,
14:30-16:00, Bahen 6183
|
Date |
Speaker |
Topics |
|
Jan 25 |
Alex Hoffnung |
The antigravity method in cyclotomic quotients of KLR algebras |
|
Feb 1 |
Joel |
An
introduction to the seminar |
|
Feb 10 |
Bruce |
Sections
2&3 of [L]: quantum sl(2), its idempotent
version, and the nil Hecke algebra |
|
Feb 17 |
Zsuzsi |
Section
4 of [L]: an intro to 2-categories and graphical calculus |
|
Feb 24 |
reading
week |
- |
|
Mar 3 |
Brad |
Section
5 of [L]: the 2-category U |
|
Mar
10 |
Oded |
the
remainder of [L]: flag 2-categories and categorification
of idempotent quantum sl(2) |
|
Mar
17 |
Stephen |
Sections
1&2 of [KL1]: the rings R(v) |
|
Mar
24 |
Raphael
Rouquier |
2-representation
theory |
|
Mar
31 |
Lucy |
Section
3 of [KL1]: quantum groups and the Grothendieck
ring of R |
|
April
5* |
Karene |
Sections
1&2 of [KL3]: graphical interpretation of the bilinear form |
|
April
12** |
Sergey |
Section
3 of [KL3] |
|
April
21 |
Oded |
Section
1,2 of [W] |
|
April
28 |
Stephen |
Section
3 of [W] |
|
May
5 |
Joel |
Section
4 of [W] |
** Note that Sergey’s talk is on Tuesday, 3-4:30, in BA3000
*Note that Karene’s talk is on Tuesday, 3-4:30, in BA3000