##### Department of Mathematics,

University of California San Diego

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### Representation Theory Seminar

## Markus Hunziker

#### Baylor University

## Diagrams of Hermitian type and syzygies of determinantal ideals

##### Abstract:

Hermitian symmetric spaces have played a distinguished role in the history of representation theory and they continue to be a source of beautiful and often surprising results. In this talk, I will use a natural generalization of Young diagrams for Hermitian symmetric spaces to give a concrete and uniform approach to a wide variety of interconnected topics including non-compact roots and canonical reduced expressions, abelian ideals in a Borel subalgebra, rational smoothness of Schubert varieties in co-minuscule flag varieties, equivalences of categories of highest weight modules, BGG resolutions, and syzygies of determinantal ideals.

Host: Nolan Wallach

### March 29, 2011

### 2:00 PM

### AP&M 7218

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