Jack polynomials and enumeration of non-orientable maps
CMSA EVENTS: CMSA MEMBER SEMINAR
When: February 14, 2025
12:00 pm - 1:00 pm
Where: CMSA, 20 Garden St, Common Room
Address:
20 Garden Street, Cambridge 02138, United States
Speaker: Houcine Ben Dali (Harvard)
A map is a graph embedded on a surface, which may be orientable or not. The representation theory of the symmetric group can be used to write the generating series of maps on orientable surfaces using Schur symmetric functions.
Several conjectures suggest that Jack polynomials—a one-parameter deformation of Schur functions—are related to the enumeration of non-orientable maps counted with a “non-orientability” weight. In this talk, I will discuss some of these conjectures and present recent progress in this direction.
In-person and on Zoom:
Zoom ID 965 2902 1352
Passcode 322891