MREG Project: Rational Catalan Combinatorics

Project description

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• Overleaf document: view

Zoom links

• Morning: https://umich.zoom.us/j/93871700558, passcode 090586
• Afternoon: https://washington.zoom.us/j/2521681828, jamboard

Meeting notes

• Day 2
• Day 3

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