MREG Project: Rational Catalan Combinatorics

Project description

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Meeting notes

• Day 2
• Day 3
• Day 5

References

• Catalan number Wikipedia
• Partitions which are simultaneously t_1- and t_2-core J. Anderson
• Results and conjectures on simultaneous core partitions D. Armstrong, C. R. H. Hanusa, B. C. Jones
• Sweep maps: a continuous family of sorting algorithms D. Armstrong, N. A. Loehr, G. S. Warrington
• Rational associahedra and noncrossing partitions D. Armstrong, B. Rhoades, N. Williams
• Positroids, knots, and q,t-Catalan numbers P. Galashin and T. Lam
• Compactified Jacobians and q,t-Catalan numbers, I E. Gorsky and M. Mazin
• The q,t-Catalan numbers and the space of diagonal harmonics J. Haglund
• Sweeping up zeta H. Thomas, N. Williams
• Table of q,t-Catalan numbers M. Zabrocki