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[PAST EVENT] Mathematics Colloquium: Saeed Nasseh (Georgia Southern University)

September 27, 2019
2pm - 3pm
Location
Jones Hall, Room 301
200 Ukrop Way
Williamsburg, VA 23185Map this location
Access & Features
  • Open to the public

Title:  Modules over finite dimensional algebras: Application to a conjecture in commutative algebra.


Abstract: When F is a field and R an F-algebra, it is often important to classify the R-module structures carried by some fixed F-vector space V. We will describe, in down-to-earth terms, a classical approach to that problem, which involves linear algebra, group theory, algebraic geometry, and homological algebra. Using tools from algebraic topology, we will then sketch new developments of these techniques and their application to the proof of a result in commutative algebra, which completely answers a conjecture posed by Vasconcelos in 1974.

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Gexin yu