Combinatorics and HOMFLYPT invariants of knots
 
 
Description:  HOMFLYPT invariants are one of the most important and general invariants in the study of the topological properties of knots. Apart from the purely knot-theoretic interest, they are related to numerous different areas of mathematics and physics, including representation theory, operator theory, state-sum models, quantum physics, string theory, etc.. In this talk I will present some of the recent combinatorial and enumerative results that are motivated by the study of HOMFLYPT invariants and their categorifications. In particular, I'll try to show one class of problems of determining Hilbert polynomials of certain polynomial ideals, closely related to the ring of symmetric polynomials, as well
as new interpretations and enumerative results on generalized Dyck paths.

 

Date:  2017-05-17
Start Time:   15:00
Speaker:  Marko Stosic (IST, Lisboa)
Institution:  Instituto Superior Técnico
Place:  Room 5.5, Department of Mathematics, U.C.
Research Groups: -Algebra and Combinatorics
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