Home /  Multigraded and differential graded methods in commutative algebra (St. Mary's College)

Summer Graduate School

Multigraded and differential graded methods in commutative algebra (St. Mary's College) July 29, 2024 - August 09, 2024
Parent Program:
Location: St. Mary's College
Organizers Michael Brown (Auburn University), Claudia Miller (Syracuse University)
Lecturer(s)

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Teaching Assistants(s)

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Speaker(s)

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Description
Hyperboloide1
Product of projective lines embedded in projective 3-space

This summer graduate school focuses on modern homological techniques in commutative algebra, specifically those involving multigraded and differential graded structures. These topics have a long and rich history, but neither is generally covered in graduate courses. Moreover, recent developments have exhibited exciting interplay between the two subjects. 

The purpose of the school is to introduce the participants to modern themes on these topics, including Koszul duality for toric varieties and differential graded algebra structures on resolutions.

School Structure

The school will consist of two lectures each day and carefully planned problem sessions designed to reinforce the foundational material, with an emphasis on using computational tools such as the symbolic algebra program Macaulay2.

Prerequisites 

A semester each of commutative algebra, homological algebra, and algebraic geometry.

Application Procedure

For eligibility and how to apply, see the Summer Graduate Schools homepage.

Keywords and Mathematics Subject Classification (MSC)
Tags/Keywords
  • free resolution

  • dg algebra structures

  • Koszul duality

  • toric variety

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Schedule, Notes/Handouts & Videos
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Jul 29, 2024
Monday
08:40 AM - 08:55 AM
  Introduction to SLMath
09:00 AM - 09:50 AM
  Lecture
Michael Brown (Auburn University)
09:50 AM - 10:15 AM
  Mini Problem Session
10:45 AM - 11:35 AM
  Lecture
Claudia Miller (Syracuse University)
11:32 AM - 12:00 PM
  Mini Problem Session
12:00 PM - 02:00 PM
  Lunch