AMS Special Session: Factorization and Arithmetic Properties of Integral Domains and Monoids
 Location: AMS Spring Central and Western Joint Sectional Meeting, University of Hawaii at Manoa, March 22-24, 2019.
 Organizers: Scott Chapman, James Coykendall, Christopher O'Neill.
 Registration: Available through the AMS Page.
 Pictures: Numerous photographs taken throughout the session. Many thanks to Ayman Badawi for sharing!
During the last 20 years, the structure theory involving the arithmetic of commutative monoids has taken many large steps forward. Many applications of this theory, in particular to the multiplicative monoids of integral domains, have appeared throughout the mathematical literature. The aim of this session is to review recent developments in this area by bringing together researchers from quite different areas of algebra under the umbrella of commutative monoids.
Session Announcements
February 1, 2019: This webpage has been created.
Session Dinner
A session dinner will be held on Friday, March 22nd at 7:00pm at Uncle Bo's Pupu Bar & Grill.
Transportation will be arranged on Friday afternoon. If you would like to attend dinner, please contact the organizers.
Resources
The AMS Sectional page, including the complete program and local information such as food and housing.
AMS abstract submission.
Schedule
Given below is the current schedule for our session. See the AMS Sectional page for the full conference schedule.
 Friday Morning, March 22nd, 2019 09:00am-09:20am Nathan Kaplan Families of numerical semigroups: Kunz coordinates and semigroup trees Abstract | Slides 09:30am-09:50am Paul Baginski Nonunique factorization in the ring of integer-valued polynomials Abstract | Slides 10:00am-10:20am Marly Gotti Factorization invariants of cyclic rational semirings Abstract | Slides 10:30am-10:50am Vadim Ponomarenko Membership and elasticity in certain affine monoids Abstract | Slides Friday Afternoon, March 22nd, 2019 03:00pm-03:20pm Byung Gyun Kang Infinite products Abstract | Slides 03:30pm-03:50pm Ayman Badawi On $$n$$-pseudo valuation domains Abstract | Slides 04:00pm-04:20pm Bethany Kubik $$\tau$$-factorization and $$\tau$$-elasticity Abstract | Slides 04:30pm-04:50pm ------------------------------ BREAK ------------------------------ 05:00pm-05:20pm Mi Hee Park Noetherian-like properties in polynomial and power series rings Abstract 05:30pm-05:50pm Roger Wiegand The monoid of Betti tables over a short Gorenstein algebra Abstract Saturday Morning, March 23rd, 2019 09:00am-09:20am Nicholas Baeth Factorization in monoids that are almost complement-finite ideals of free monoids Abstract | Slides 09:30am-09:50am Maria Bras-Amoros On numerical semigroups Abstract | Slides 10:00am-10:20am Roberto Pelayo Leamer monoids and the Huneke-Wiegand conjecture Abstract | Slides 10:30am-10:50am Mark Batell Polynomials with half-factorial coefficients Abstract | Slides Saturday Afternoon, March 23rd, 2019 02:00pm-02:20pm Wolfgang Schmid A characterization of Krull monoids for which sets of lengths are arithmetical progressions Abstract | Slides 02:30pm-02:50pm Sylvia Wiegand Prime ideals in rings of power series and polynomials Abstract | Slides 03:00pm-03:20pm Daniel Smertnig Class groups of cluster algebras Abstract | Slides 03:30pm-03:50pm ------------------------------ BREAK ------------------------------ 04:00pm-04:50pm Alfred Geroldinger Sets of arithmetical invariants in transfer Krull monoids Abstract | Slides Sunday Morning, March 24th, 2019 09:00am-09:20am Klara Stokes Patterns of ideals of numerical semigroups Abstract | Slides 09:30am-09:50am Felix Gotti On the atomicity of monoid algebras of finite characteristic Abstract | Slides 10:00am-10:20am Richard Hasenauer A characterization of non-Noetherian BFDs and FFDs Abstract | Slides 10:30am-10:50am Jesse Elliot Unique factorization in rings with zerodivisors (cancelled) Abstract