Event time:
Tuesday, April 26, 2005 - 12:30pm to Monday, April 25, 2005 - 8:00pm
Location:
206 LOM
Speaker:
Raphael Rouquier
Speaker affiliation:
Institut de Mathematiques de Jussieu, France
Event description:
We introduce deformed differential operators on a vector space.
Their action on polynomials can be understood via the representation
theory of Cherednik algebras. This is in turn related to Hecke
algebras, via monodromy representations. On the combinatorial side,
this involves canonical bases of Fock spaces. There are algebraic
descriptions involving quantum groups. This relates also to Hilbert
schemes of points on the complex plane.