Speaker: Jieru Zhu 
Affiliation: University of Queensland


The well-known Temperley-Lieb (TL) algebras are defined over a field containing a quantum variable. When this variable is a root of unity, the TL algebra is no longer semisimple, and its representations are recently studied from the perspective of cellular algebras. In joint work with Benkart, Biswal, Kirkman, Nguyen, we show that the TL algebra is isomorphic to the centralizer algebra of the Drinfeld double of the Taft algebra, a quasitriangular Hopf algebra with a distinguished ribbon element. In joint work with Sutton, Tubbenhauer, Wedrich, we use TL diagrams to give a quiver presentation for the tilting category for SL_2, over a field of positive characteristic and containing a root of unity. We also derived recursive formulas and traces for the modular Jones-Wenzl idempotents. Current work involves studying modular Schur-Weyl duality as well as its representations via Young tableaux combinatorics. 


About Pure mathematics seminars

We present regular seminars on a range of pure mathematics interests. Students, staff and visitors to UQ are welcome to attend, and to suggest speakers and topics.

Seminars are usually held on Tuesdays from 2 to 3pm.

Talks comprise 45 minutes of speaking time plus five minutes for questions and discussion.

Information for speakers

Researchers in all pure mathematics fields attend our seminars, so please aim your presentation at a general mathematical audience.

Contact us

To volunteer to talk or to suggest a speaker, email Ole Warnaar or Ramiro Lafuente.


Physics Annexe (06)
Room 407