Quantum Mathematics Seminar

Place Hill 423.

Starting from Spring, 2008, Quantum Mathematics Seminar has merged with Lie Group Seminar and the name is changed to Lie group/Quantum Mathematics Seminar. For the last few years, Quantum Mathematics Seminar shared the time and place with Algebra Seminar . For talks in Quantum Mathematics Seminar in previous semesters, click the link at the bottom of this page. For a complete listing of speakers in both Algebra and Quantum Mathematics Seminars in the last few years, see the page for Algebra Seminar. For all the seminars and colloquium in the department, see the Seminars and Colloquium page.

Spring, 2008

• Speaker Antun Milas, SUNY-Albany
  • Title W-algebras, quantum groups and combinatorial identities
  • Time/place Tuesday, 2/5/2007, 2:15 pm in Hill 124
  • Note Special time and place
  • Abstract I will discuss a conjectural relationship between certain quantum W-algebras (vertex algebras) and finite-dimensional quantum groups associated to $sl_2$ (Hopf algebras). In the process we shall encounter interesting multisum identities.

• Speaker Tom Robinson, Rutgers
  • Title The automorphism property, differential representations and classical combinatorial identities
  • Time/place Friday, 3/7/2007, 11:45 am in Hill 423
  • Abstract We shall first recall the automorphism property of exponentiated derivations, and then discuss representing two variable derivations (formal partial differential operators) as one variable derivations. Then we shall show how one may use these two algebraic ingredients to compute simple classical identities involving special hyperbinomial numbers like the Stirling numbers.

• Speaker Tom Robinson, Rutgers
  • Title Formal differential representations, Faa di Bruno and the Riordan Group
  • Time/place Friday, 3/14/2007, 11:45 am in a room to be arranged
  • Abstract First I will show explicitly how a calculation in FLM, which I will in its essentials redo, can be viewed as an application of a formal representation of exponentiated derivations. The outcome of the calculation is Faa di Bruno's formula. Then building on this result I will show how another application of an easy class of formal differential representation leads to the Riordan Group. No prerequisites necessary.

• Speaker Liang Kong, Max Planck Institute for Mathematics at Bonn
  • Title A tensor-categorical study of open-closed rational conformal field theory
  • Time/place Friday, 4/4/2007, 11:45 am in Hill 423
  • Abstract I propose a reformulation of open-closed rational conformal field theory in terms of certain algebras in modular tensor categories. I will explain where it comes from. Then I will give a somewhat dual formulation. I will also discuss the so-called open-closed duality in this framework.

Previous Semesters