In summer 2009, a bunch of students/postdocs working with Joel Kamnitzer or Sergey Arkhipov come together to discuss topics of common interest. Generally, we are interested in quantum groups, representations and related areas.
| Date | Plan | Participants | Summary | Main references | Other references |
|---|---|---|---|---|---|
| April 28 | Organizational | Silvia Lucy Stephen Bruce |
We decided to meet weekly on Tuesday 2pm, and we had a round table discussion of everyone's research and interests. | Ginzburg, "Geometric Methods in Representation Theory of Hecke Algebras and Quantum Groups";
Schiffman and Etingof, "Lectures on Quantum Groups" (QC20.7 .G76 E85 in Gerstein) |
|
| May 5 | Stephen leads discussion on Ginzburg's paper on cohomology of quantum groups | Silvia Stephen Lucy Iva |
We headed in the right direction, but only managed to work through a bunch of definitions and sort of stated the main theorem. | Ginzburg and Kumar, "Cohomology of quantum groups at roots of unity";
Lusztig, "Quantum groups at roots of unity" |
Lusztig, "Finite dimensional Hopf algebras arising from quantized universal enveloping algebras" | May 12 | (Silvia leads discussion on cohomology of quantum groups at roots of unity following the Ginzburg paper appendix) | Stephen Lucy Bruce |
Appendix of Ginzburg, "Geometric Methods in Representation Theory of Hecke Algebras and Quantum Groups" |
| May 19 | CANCELLED as Bruce, me and Stephen are all travelling to Northwestern for the TFT conference | ||||
| May 26 | (Silvia on Hochschild cohomology of associative unital algebras) | Silvia Stephen |
Silvia wasn't quite ready to speak yet. So they discussed seminar plan for the coming weeks. This meeting was postponed to Friday, May 29. | ||
| May 29 | Silvia on Hochschild cohomology of associative unital algebras | Silvia Stephen Lucy |
Everything went as planned, except that Stephen forgot about the time, so we started late. | ||
| June 2 | Unspecified: Silvia? Stephen? Towards tieing back to the Ginzburg paper | Silvia Stephen Lucy Chandrika |
Lucy asked for general homological idealogy. Silvia presented Koszul complex; Stephen continued his explicit calculation of Ext from a few weeks ago | ||
| June 9 | Lucy on existence and unique of quantized enveloping algebra using cohomology | Silvia Stephen ..others?.. |
| Return to Lucy's Home | U of T Math | Perimeter Institute | U of T Physics | CITA |
Last Update: 6 June 2009 |