MacDonald Theory and Beyond
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Home > Mathematics and Science Textbooks > Mathematics > Algebra > Macdonald Theory and Beyond: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022(Contemporary Mathematics)
Macdonald Theory and Beyond: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022(Contemporary Mathematics)

Macdonald Theory and Beyond: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022(Contemporary Mathematics)


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About the Book

This volume contains the proceedings of the AMS Special Session on Macdonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, held virtually on March 19-20, 2022. The articles in this volume represent a number of recent developments in the theory of Macdonald polynomials while highlighting some of its many connections to other areas of mathematics. An important common thread throughout the volume is the role of combinatorial formulas-for Macdonald polynomials themselves as well as operations on them arising from rich additional structures. The articles of Haglund, Mandelshtam, and Romero concern the type A Macdonald polynomials, which remain a major focus of the subject due to the depth of their combinatorial theory and the power of their specific applications. For arbitrary type Macdonald polynomials, a new combinatorial formula with pseudo-crystal structure is presented in the article of Lenart, Naito, Nomoto, and Sagaki. Finally, the articles of Saied and Wen take up two important new directions in the subject: the SSV polynomials arising from the study of special functions on metaplectic groups, and the wreath Macdonald polynomials associated with certain symplectic resolutions.

Table of Contents:
Articles J. Haglund, Combinatorial formulas for (type A) Macdonald polynomials Cristian Lenart, Satoshi Naito, Fumihiko Nomoto and Daisuke Sagaki, Symmetric and nonsymmetric Macdonald polynomials via a path model with a pseudo-crystal structure Joshua Jeishing Wen, Shuffle approach to wreath Pieri operators Olya Mandelshtam, New formulas for Macdonald polynomials via the multispecies exclusion and zero range processes Marino Romero, Some combinatorial aspects of Theta and Delta operators Jason Saied, A Littlewood-Richardson rule for SSV polynomials

About the Author :
Daniel Orr, Virginia Tech, Blacksburg, VA. Joshua Jeishing Wen, Northeastern University, Boston, MA.


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Product Details
  • ISBN-13: 9781470471897
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Height: 254 mm
  • No of Pages: 159
  • Sub Title: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022
  • ISBN-10: 1470471892
  • Publisher Date: 30 Jun 2025
  • Binding: Paperback
  • Language: English
  • Series Title: Contemporary Mathematics
  • Width: 178 mm


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Macdonald Theory and Beyond: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022(Contemporary Mathematics)
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Macdonald Theory and Beyond: Ams Special Session on MacDonald Theory and Beyond: Combinatorics, Geometry, and Integrable Systems, Virtual, March 19-20, 2022(Contemporary Mathematics)
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