Building Bridges Between Algebra and Topology

Released on by Wojciech Chachólski
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  • Building Bridges Between Algebra and Topology Book Detail

  • Author : Wojciech Chachólski
  • Release Date : 2018-03-31
  • Publisher : Birkhäuser
  • Genre : Mathematics
  • Pages : 235
  • ISBN 13 : 3319701576
  • File Size : 13,13 MB
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Building Bridges Between Algebra and Topology by Wojciech Chachólski PDF Summary

Book Description: This volume presents an elaborated version of lecture notes for two advanced courses: (Re)Emerging methods in Commutative Algebra and Representation Theory and Building Bridges Between Algebra and Topology, held at the CRM in the spring of 2015. Homological algebra is a rich and ubiquitous area; it is both an active field of research and a widespread toolbox for many mathematicians. Together, these notes introduce recent applications and interactions of homological methods in commutative algebra, representation theory and topology, narrowing the gap between specialists from different areas wishing to acquaint themselves with a rapidly growing field. The covered topics range from a fresh introduction to the growing area of support theory for triangulated categories to the striking consequences of the formulation in the homotopy theory of classical concepts in commutative algebra. Moreover, they also include a higher categories view of Hall algebras and an introduction to the use of idempotent functors in algebra and topology.

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Lecture Notes in Algebraic Topology

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The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. Moreover, by their second year of graduate studies,

Extended Abstracts Spring 2015

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This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory"