Algebraic Combinatorics Seminar
UNIVERSITY OF KENTUCKY
ALGEBRAIC COMBINATORICS SEMINAR
845 PATTERSON OFFICE TOWER
"The dual canonical basis''
Monday, February 6, 2006
4:00 pm, 231 White Hall Classroom Building
Kashiwara and Lusztig independently introduced the "dual canonical" (or "crystal") basis for the quantum coordinate ring of SL_n. While this basis has nice representation theoretic properties, it has no known concise description. We will discuss an improved description of the basis which has led to recent results in combinatorics, algebraic geometry, and representation theory, and which links the basis to known results in these areas.