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Hopf Algebras II

Introductory Workshop: Quantum Symmetries January 27, 2020 - January 31, 2020

January 29, 2020 (09:30 AM PST - 10:30 AM PST)
Speaker(s): Sarah Witherspoon (Texas A & M University)
Location: SLMath: Eisenbud Auditorium
  • Hopf algebras

  • groups

  • Lie algebras

  • Quantum Groups

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



Current research on Hopf algebras includes programs to classify some types and to understand their categories of modules. In this second talk, we will consider this second problem for nonsemisimple Hopf algebras, and homological techniques for approaching it. We will define the cohomology ring and state a finite generation conjecture for finite dimensional Hopf algebras and more generally for finite tensor categories. We will survey what is known and touch on some recent research.

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