Representations of algebras, geometry and physics : Maurice Auslander Distinguished Lectures and International Conference, April 25-30, 2018, Woods Hole Oceanographic Institute, Woods Hole, MA

書誌事項

Representations of algebras, geometry and physics : Maurice Auslander Distinguished Lectures and International Conference, April 25-30, 2018, Woods Hole Oceanographic Institute, Woods Hole, MA

Kiyoshi Igusa, Alex Martsinkovsky, Gordana Todorov, editors

(Contemporary mathematics, 769)

American Mathematical Society, c2021

  • : pbk

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume contains selected expository lectures delivered at the 2018 Maurice Auslander Distinguished Lectures and International Conference, held April 25-30, 2018, at the Woods Hole Oceanographic Institute, Woods Hole, MA. Reflecting recent developments in modern representation theory of algebras, the selected topics include an introduction to a new class of quiver algebras on surfaces, called ""geodesic ghor algebras"", a detailed presentation of Feynman categories from a representation-theoretic viewpoint, connections between representations of quivers and the structure theory of Coxeter groups, powerful new applications of approximable triangulated categories, new results on the heart of a $t$-structure, and an introduction to methods of constructive category theory.

目次

K. Baur and C. Beil, Examples of geodesic ghor algebras on hyperbolic surfaces R. M. Kaufmann, Feynman categories and representation theory M. Kleiner, Preprojective roots and graph monoids of Coxeter groups A. Neeman, Approximable triangulated categories S. Posur, Methods of constructive category theory C. E. Parra and M. Saorin, The HRS tilting process and Grothendieck hearts of t-structures

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