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 