Unless otherwise stated, seminars
will take place in Seminar Room of the
ICMS
at
the University of Edinburgh.

Please contact the organisers Jelle
Hartong (UoE) or Bart Vlaar
(HW)
with any questions regarding the seminars.

Wednesday,
11 December 2019

ICMS Lecture Theatre (room 5.10)

14:30

Martina Balagović
(Newcastle University)

I will review some recent progress on quantum symmetric pair coideal subalgebras of quantum groups, in particular the construction of the universal K matrix, which bears significant resemblance to the construction of the universal R-matrix for the quantum group.

16:00

Christian Korff
(University of Glasgow)

The combinatorial R-matrix is a set-theoretic solution of the Yang-Baxter equation which arises in the context of Kashiwara’s crystal base theory, a combinatorial tool in the representation theory of Lie algebras. After some gentle introduction of crystal graphs, the R-matrix will be defined as a crystal graph isomorphism. Using the latter we define a special subset of crystal graph vertices which are shown to be in bijection with so-called cylindric tableaux (an affine version of ordinary Young tableaux). Counting cylindric tableaux yields quantum Kostka numbers, these are integers which are obtained as coefficients when multiplying a Schubert class with a Chern class in the small quantum cohomology ring of the Grassmannian.

Wednesday,
22 January 2020

ICMS Seminar Room (5.02)

Wednesday,
5 February 2020

ICMS Seminar Room (5.02)

Wednesday,
19 February 2020

ICMS Seminar Room (5.02)

Wednesday,
4 March 2020

ICMS Seminar Room (5.02)

Wednesday,
18 March 2020

ICMS Seminar Room (5.02)

Wednesday,
15 April 2020

ICMS Seminar Room (5.02)