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Seminar

COMA Special Topics Seminar: DG Tricks in Local Algebra III February 23, 2024 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Speaker(s) Josh Pollitz (Syracuse University)
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Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

DG Tricks in Local Algebra III

Abstract/Media

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We will start by talking about multiplicative structures on resolutions (this is a huge subject that we will only touch on), and use them to define and chat about derived fibres. Then we will focus on certain dg algebra resolutions known as "minimal models". We will cover some basic properties and examples, and their relation with properties such as being Koszul. Finally, we will define the homotopy Lie algebra and explain in detail how it can be computed from a minimal model.

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DG Tricks in Local Algebra III