The Stable Limit DAHA and the Double Dyck Path Algebra

Speaker：Dongyu Wu
Date：Wed. 2021-03-03 10:30am
Tencent meeting ID：955 011 051
Abstract:

The shuffle conjecture is a famous conjecture in combinatorics, which was recently proven by Carlsson and Mellit. The double Dyck path algebra (DDPA) is the key algebraic structure that governs the phenomena behind the shuffle and rational shuffle conjectures. In this talk I will explain how the DDPA emerges naturally and canonically (as a stable limit) from the family of GL double affine Hecke algebras (DAHA), and how this will establish a new combinatorial connection between DAHAs and the nabla operator.

About the speaker :

Wu Dongyu is a PhD student in Mathematics at University of Pittsburgh. He is working in Representation Theory and Combinatorics under the direction of Dr. Bogdan Ion. He is particularly interested in double affine Hecke algebras and Macdonald polynomials. Before coming to Pitt he graduated from the School of Gifted Young at the University of Science and Technology of China.