We continue our discussion introducing groupoids. All are welcome.
Introduction to Groupoids part 2 Sponsored by the Meyer Fund
Sep. 16, 2014 2pm (MATH 350)
Lie Theory
Megan Ly (CU)
X
The Huneke-Wiegand conjecture, a long-standing open problem in commutative algebra has prompted much recent study. In the category of numerical monoid algebras, Garcia-Sanchez and Leamer provide a reduction theory that equates the Huneeke-Wiegand conjecture to finding certain irreducible arithmetic sequences within numerical monoids. This talk focuses on Leamer monoids, whose elements correspond to arithmetic sequences of a given step size within a fixed numerical monoid, and its factorization theory. In this talk we will provide a description for the first element in the Leamer monoid for numerical monoids generated by two integers using Apery sets. We apply our results to prove the Huneke-Wiegand Conjecture for all numerical monoid algebras of two generators and provide direction for potentially proving the conjecture for numerical monoid algebras with more generators.
The Factorization Theory of Leamer Monoids
Sep. 16, 2014 11pm (Math 220)
Noncomm Geometry
Alexander Gorokhovsky Introduction to cyclic (co)homology (contd.)
Introduction to Groupoids part 2