| Speaker |
William Wong (Nagoya University ) |
| Title |
Perverse equivalence - its application on symmetric algebras |
| Date |
January 22 (Mon.) 18：00～19：30 |
| Place |
Osaka City University Academic Extension Center |
| Abstract |
As an attempt to understand derived equivalence, Chuang and Rouquier
developed the notion of perverse equivalence which enables combinatorial
manipulation of derived equivalence. In this talk I shall introduce some
ways this idea is applied within symmetric algebras.
Reference: Chuang and Rouquier, Perverse equivalence, preprint Jan 2017 |
| Speaker |
Toshihisa Kubo（Ryukoku University） |
| Title |
Differential symmetry breaking operators of O(n,1) for differential formss |
| Date |
November 20 (Mon.) 18：00～19：30 |
| Place |
Osaka City University Academic Extension Center |
| Abstract |
Let X be a smooth manifold and Y a smooth submanifold of X. Take G and G '
to be Lie groups with G' a subgroup of G that act transitively on X and Y,
respectively. Suppose that V and W are G- and G'-equivariant vector bundles
over X and Y, respectively. We then say that a differential operator D
between the space of smooth sections for V and that for W is symmetry
breaking if D is G'-intertwining.
In the recent work [Kobayashi-Kubo-Pevzner, Lecture Notes in Math. 2170],
for G=O(n+1,1) and G'=O(n,1) with n \geq 3, we completely classified the
differential symmetry breaking operators from the space of differential
i-forms over the standard Riemann sphere S^n to that of differential j-forms
over the totally geodesic hypersphere S^{n-1}.
Further, their explicit formulas are also determined. In this talk we shall
discuss how we classify such operators with the explicit formulas.
This is a joint work with T. Kobayashi and M. Pevzner. |
| Speaker |
Louise Sutton (Queen Mary University of London) |
| Title |
On the structure of Specht modules labelled by hook bipartitions |
| Date |
June 19 (Mon.) 18：00～19：30 |
| Place |
Osaka City University Academic Extension Center |
| Abstract |
The Decomposition Number Problem for the cyclotomic KLR algebra in higher levels
is far from being well understood. Inspired by Peel who completely determined the structure
of hook representations (Specht modules labelled by hooks) for the symmetric group, and moreover,
by Chuang, Miyachi and Tan who determined the analogous graded structure of hook representations
for the Iwahori-Hecke algebra of type A, we present our work solving the Decomposition Number Problem
and its graded analogue for the cyclotomic KLR algebra in level 2 corresponding
to Specht modules labelled by hook bipartitions. |
Last Modified on 2017.June.12
