McKay correspondence, mutation and related topics / edited by Yukari Ito (The University of Tokyo), Akira Ishii (Nagoya University), Osamu Iyama (The University of Tokyo).

Format:

Book

Contributor:

Itō, Yukari, editor.

Ishii, Akira (Sūgaku), editor.

Iyama, Osamu, editor.

伊藤, 由佳理

石井, 亮 (数学)

伊山, 修

Series:

Advanced studies in pure mathematics (Tokyo, Japan) ; 0920-1971 88.

Advanced studies in pure mathematics ; 88

Language:

English

Subjects (All):

Geometry, Algebraic.

Singularities (Mathematics).

Cluster algebras.

Commutative algebra.

Physical Description:

533 pages : illustrations ; 24 cm

Place of Publication:

Tokyo : Mathematical Society of Japan, [2023]

Summary:

"This volume is the proceedings of the online conference "McKay correspondence, Mutation and Related Topics," which was held at Kavli Institute for the Physics and Mathematics of the Universe (IPMU) in Japan in Summer in 2020.This volume consists of 15 peer-reviewed articles written by speakers who lead currently active research fields of McKay correspondence, crepant resolution, singularities, quiver and cluster algebra." - publisher

Contents:

Construction of Rank 2 Indecomposable Modules in Grassmannian Cluster Categories / Karin Baur, Dusko Bogdanic and Jian-Rong Li

A Lockdown Survey on cDV Singularities / Michael Wemyss

On Reid's Recipe for Non-Abelian Groups / Álvaro Nolla de Celis

An Introduction to Hilbert Schemes of Points on ADE Singularities / Alastair Craw

Moduli of G-Constellations and Crepant Resolutions I: The Abelian Case / Ryo Yamagishi

Wall-Crossing for Iterated Hilbert Schemes (or 'Hilb of Hilb') / Ben Wormleighton

Hilbert Basis Resolutions for Three Dimensional Canonical Cyclic Quotient Singularities / Kohei Sato and Yusuke Sato

Combinatorial Mutations of Newton-Okounkov Polytopes Arising from Plabic Graphs / Akihiro Higashitani and Yusuke Nakajima

Open Problems in the Wild McKay Correspondence and Related Fields / Takehiko Yasuda

Relating Derived Equivalences for Simplices of Higher-Dimensional Flops / Will Donovan

Branes, Quivers, and the Affine Grassmannian / Antoine Bourget, Julius F Grimminger, Amihay Hanany, Marcus Sperling and Zhenghao Zhong

Acyclic Cluster Algebras with Dense g-vector Fans / Toshiya Yurikusa

Stability Over cDV Singularities and Other Complete Local Rings / Okke van Garderen

Cluster Duality between Calkin-Wilf Tree and Stern-Brocot Tree / Yasuaki Gyoda

Invariant Hilbert Scheme of the Cox Realization of the Nilpotent Cone in SL (n) / Ayako Kubota.

Notes:

Includes bibliographical references.

ISBN:

9784864970983

486497098X

OCLC:

1378698954